Xia, Yuxin; Han, Bo; Gu, Ruixue An accelerated homotopy-perturbation-Kaczmarz method for solving nonlinear inverse problems. (English) Zbl 07444651 J. Comput. Appl. Math. 404, Article ID 113897, 20 p. (2022). MSC: 65Jxx 47Jxx 65Nxx PDF BibTeX XML Cite \textit{Y. Xia} et al., J. Comput. Appl. Math. 404, Article ID 113897, 20 p. (2022; Zbl 07444651) Full Text: DOI OpenURL
Yan, Jin-Chang; Xu, Yang; Huang, Zheng-Hai A homotopy method for solving multilinear systems with strong completely positive tensors. (English) Zbl 07443288 Appl. Math. Lett. 124, Article ID 107636, 7 p. (2022). MSC: 65-XX 90-XX PDF BibTeX XML Cite \textit{J.-C. Yan} et al., Appl. Math. Lett. 124, Article ID 107636, 7 p. (2022; Zbl 07443288) Full Text: DOI OpenURL
Zhao, Minghao; Ma, Zelong; Lu, Chunsheng; Zhang, Qiaoyun Application of the homopoty analysis method to nonlinear characteristics of a piezoelectric semiconductor fiber. (English) Zbl 07447506 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 5, 665-676 (2021). MSC: 74F15 74G10 78A55 PDF BibTeX XML Cite \textit{M. Zhao} et al., AMM, Appl. Math. Mech., Engl. Ed. 42, No. 5, 665--676 (2021; Zbl 07447506) Full Text: DOI OpenURL
Oliveira, D. S.; de Oliveira, E. Capelas Analytical solutions for Navier-Stokes equations with Caputo fractional derivative. (English) Zbl 07443642 S\(\vec{\text{e}}\)MA J. 78, No. 1, 137-154 (2021). MSC: 26A33 35G10 35R11 PDF BibTeX XML Cite \textit{D. S. Oliveira} and \textit{E. C. de Oliveira}, S\(\vec{\text{e}}\)MA J. 78, No. 1, 137--154 (2021; Zbl 07443642) Full Text: DOI OpenURL
Malagi, Naveen S.; Veeresha, P.; Prasannakumara, B. C.; Prasanna, G. D.; Prakasha, D. G. A new computational technique for the analytic treatment of time-fractional Emden-Fowler equations. (English) Zbl 07431521 Math. Comput. Simul. 190, 362-376 (2021). MSC: 65-XX 92-XX PDF BibTeX XML Cite \textit{N. S. Malagi} et al., Math. Comput. Simul. 190, 362--376 (2021; Zbl 07431521) Full Text: DOI OpenURL
Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; Salahshour, Soheil An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense. (English) Zbl 07428957 Math. Comput. Simul. 187, 248-260 (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{K. Hosseini} et al., Math. Comput. Simul. 187, 248--260 (2021; Zbl 07428957) Full Text: DOI OpenURL
Madhusudhan, R.; Nargund, Achala L.; Sathyanarayana, S. B. The effect of magnetic field on compressible boundary layer by homotopy analysis method. (English) Zbl 07425443 J. Indian Math. Soc., New Ser. 88, No. 1-2, 125-145 (2021). MSC: 76N20 PDF BibTeX XML Cite \textit{R. Madhusudhan} et al., J. Indian Math. Soc., New Ser. 88, No. 1--2, 125--145 (2021; Zbl 07425443) Full Text: DOI OpenURL
Ibrahim, Dachas; Daba, Mitiku; Bati, Solomon Optimal homotopy asymptotic method for investigation of effects of thermal radiation, internal heat generation, and buoyancy on velocity and heat transfer in the Blasius flow. (English) Zbl 07425119 Adv. Math. Phys. 2021, Article ID 5598817, 11 p. (2021). MSC: 80A21 80A19 76R10 35B40 35A24 80M35 PDF BibTeX XML Cite \textit{D. Ibrahim} et al., Adv. Math. Phys. 2021, Article ID 5598817, 11 p. (2021; Zbl 07425119) Full Text: DOI OpenURL
Eswaramoorthi, S.; Alessa, Nazek; Sangeethavaanee, M.; Namgyel, Ngawang Numerical and analytical investigation for Darcy-Forchheimer flow of a Williamson fluid over a Riga plate with double stratification and Cattaneo-Christov dual flux. (English) Zbl 07425102 Adv. Math. Phys. 2021, Article ID 1867824, 15 p. (2021). MSC: 76S05 76T20 76W05 76M99 80A19 80A21 PDF BibTeX XML Cite \textit{S. Eswaramoorthi} et al., Adv. Math. Phys. 2021, Article ID 1867824, 15 p. (2021; Zbl 07425102) Full Text: DOI OpenURL
Maitama, Shehu; Zhao, Weidong Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives. (English) Zbl 07424849 Comput. Appl. Math. 40, No. 3, Paper No. 86, 30 p. (2021). MSC: 34A07 35R11 35R13 44A10 PDF BibTeX XML Cite \textit{S. Maitama} and \textit{W. Zhao}, Comput. Appl. Math. 40, No. 3, Paper No. 86, 30 p. (2021; Zbl 07424849) Full Text: DOI OpenURL
Kounta, Moussa; Dawson, Nathan J. Linear quadratic Gaussian homing for Markov processes with regime switching and applications to controlled population growth/decay. (English) Zbl 1475.93117 Methodol. Comput. Appl. Probab. 23, No. 3, 1155-1172 (2021). MSC: 93E20 49L25 49N10 60G40 60J20 PDF BibTeX XML Cite \textit{M. Kounta} and \textit{N. J. Dawson}, Methodol. Comput. Appl. Probab. 23, No. 3, 1155--1172 (2021; Zbl 1475.93117) Full Text: DOI OpenURL
Arafa, Anas A. M.; Hagag, Ahmed M. Sh. A different approach for study some fractional evolution equations. (English) Zbl 07422091 Anal. Math. Phys. 11, No. 4, Paper No. 162, 21 p. (2021). MSC: 35R11 35A22 41A58 PDF BibTeX XML Cite \textit{A. A. M. Arafa} and \textit{A. M. Sh. Hagag}, Anal. Math. Phys. 11, No. 4, Paper No. 162, 21 p. (2021; Zbl 07422091) Full Text: DOI OpenURL
Wu, Huan; Xu, Hang Studies of wave interaction of high-order Korteweg-de Vries equation by means of the homotopy strategy and neural network prediction. (English) Zbl 07412676 Phys. Lett., A 415, Article ID 127653, 12 p. (2021). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{H. Wu} and \textit{H. Xu}, Phys. Lett., A 415, Article ID 127653, 12 p. (2021; Zbl 07412676) Full Text: DOI OpenURL
Wang, Ping; Lu, Dongqiang Nonlinear hydroelastic waves traveling in a plate in terms of Plotnikov-Toland’s model. (English) Zbl 07409135 Adv. Appl. Math. Mech. 13, No. 3, 724-734 (2021). MSC: 74J30 76B07 PDF BibTeX XML Cite \textit{P. Wang} and \textit{D. Lu}, Adv. Appl. Math. Mech. 13, No. 3, 724--734 (2021; Zbl 07409135) Full Text: DOI OpenURL
Mitchell, Jonathan Simplified Liénard equation by homotopy analysis method. (English) Zbl 07404727 Differ. Equ. Dyn. Syst. 29, No. 3, 735-748 (2021). Reviewer: J. Peter Praveen (Guntur) MSC: 34C15 34E05 34A45 PDF BibTeX XML Cite \textit{J. Mitchell}, Differ. Equ. Dyn. Syst. 29, No. 3, 735--748 (2021; Zbl 07404727) Full Text: DOI OpenURL
Xia, Yuxin; Han, Bo; Fu, Zhenwu An accelerated homotopy perturbation iteration for nonlinear ill-posed problems in Banach spaces with uniformly convex penalty. (English) Zbl 07393230 Inverse Probl. 37, No. 10, Article ID 105003, 28 p. (2021). MSC: 65Jxx 47Jxx 35Rxx PDF BibTeX XML Cite \textit{Y. Xia} et al., Inverse Probl. 37, No. 10, Article ID 105003, 28 p. (2021; Zbl 07393230) Full Text: DOI OpenURL
Rodriguez, Jose Israel; Du, Jin-Hong; You, Yiling; Lim, Lek-Heng Fiber product homotopy method for multiparameter eigenvalue problems. (English) Zbl 1473.65061 Numer. Math. 148, No. 4, 853-888 (2021). MSC: 65H20 65H17 65H10 35P30 PDF BibTeX XML Cite \textit{J. I. Rodriguez} et al., Numer. Math. 148, No. 4, 853--888 (2021; Zbl 1473.65061) Full Text: DOI OpenURL
Kumar, Amit; Baleanu, Dumitru An analysis for Klein-Gordon equation using fractional derivative having Mittag-Leffler-type kernel. (English) Zbl 1475.35390 Math. Methods Appl. Sci. 44, No. 7, 5458-5474 (2021). MSC: 35R11 35A35 35K15 PDF BibTeX XML Cite \textit{A. Kumar} and \textit{D. Baleanu}, Math. Methods Appl. Sci. 44, No. 7, 5458--5474 (2021; Zbl 1475.35390) Full Text: DOI OpenURL
Khan, Kashif Ali; Seadawy, Aly R.; Jhangeer, Adil Numerical appraisal under the influence of the time dependent Maxwell fluid flow over a stretching sheet. (English) Zbl 1471.35079 Math. Methods Appl. Sci. 44, No. 7, 5265-5279 (2021). MSC: 35C07 35C08 35C10 35Q35 35Q61 76W05 PDF BibTeX XML Cite \textit{K. A. Khan} et al., Math. Methods Appl. Sci. 44, No. 7, 5265--5279 (2021; Zbl 1471.35079) Full Text: DOI OpenURL
Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Baleanu, Dumitru An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law. (English) Zbl 1471.35301 Math. Methods Appl. Sci. 44, No. 8, 6247-6258 (2021). MSC: 35R11 35A22 35K20 35K57 PDF BibTeX XML Cite \textit{K. Hosseini} et al., Math. Methods Appl. Sci. 44, No. 8, 6247--6258 (2021; Zbl 1471.35301) Full Text: DOI OpenURL
Padmavathi, V.; Prakash, A.; Alagesan, K.; Magesh, N. Analysis and numerical simulation of novel coronavirus (COVID-19) model with Mittag-Leffler kernel. (English) Zbl 07376642 Math. Methods Appl. Sci. 44, No. 2, 1863-1877 (2021). MSC: 37N25 37M05 34F05 92D30 PDF BibTeX XML Cite \textit{V. Padmavathi} et al., Math. Methods Appl. Sci. 44, No. 2, 1863--1877 (2021; Zbl 07376642) Full Text: DOI OpenURL
Mesdoui, Fatiha; Shawagfeh, Nabil; Ouannas, Adel Global synchronization of fractional-order and integer-order \(N\) component reaction diffusion systems: application to biochemical models. (English) Zbl 07376576 Math. Methods Appl. Sci. 44, No. 1, 1003-1012 (2021). MSC: 37N35 35K57 26A33 34D20 PDF BibTeX XML Cite \textit{F. Mesdoui} et al., Math. Methods Appl. Sci. 44, No. 1, 1003--1012 (2021; Zbl 07376576) Full Text: DOI OpenURL
Li, Yongqiang; Yao, Wenkai Double-mode modeling of nonlinear flexural vibration analysis for a symmetric rectangular honeycomb sandwich thin panel by the homotopy analysis method. (English) Zbl 1466.74015 Math. Methods Appl. Sci. 44, No. 1, 7-26 (2021). MSC: 74H45 74S99 PDF BibTeX XML Cite \textit{Y. Li} and \textit{W. Yao}, Math. Methods Appl. Sci. 44, No. 1, 7--26 (2021; Zbl 1466.74015) Full Text: DOI OpenURL
Georgieva, Atanaska Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method. (English) Zbl 1467.45002 Demonstr. Math. 54, 11-24 (2021). MSC: 45D05 45L05 65R20 PDF BibTeX XML Cite \textit{A. Georgieva}, Demonstr. Math. 54, 11--24 (2021; Zbl 1467.45002) Full Text: DOI OpenURL
Biswas, Swapan; Ghosh, Uttam Approximate solution of homogeneous and nonhomogeneous \(5\alpha\) th-order space-time fractional KdV equations. (English) Zbl 07342019 Int. J. Comput. Methods 18, No. 1, Article ID 2050018, 23 p. (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{S. Biswas} and \textit{U. Ghosh}, Int. J. Comput. Methods 18, No. 1, Article ID 2050018, 23 p. (2021; Zbl 07342019) Full Text: DOI OpenURL
Yu, Qiang; Xu, Hang A homotopy-based wavelet approach for large deflection of a circular plate on nonlinear foundations with parameterized boundaries. (English) Zbl 07336201 Comput. Math. Appl. 90, 80-95 (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{Q. Yu} and \textit{H. Xu}, Comput. Math. Appl. 90, 80--95 (2021; Zbl 07336201) Full Text: DOI OpenURL
Patil, Sumit J.; Kashyap, Anisha R. V.; Kolwankar, Kiran M. Homotopy analysis method for oscillatory systems with cubic and trigonometric non-linearity. (English) Zbl 07332000 Mukherjee, Shaibal (ed.) et al., Computational mathematics, nanoelectronics, and astrophysics. Selected papers based on the presentations at the international conference, CMNA 2018, Indore, India, November 1–3, 2018. Singapore: Springer. Springer Proc. Math. Stat. 342, 25-45 (2021). MSC: 65L99 PDF BibTeX XML Cite \textit{S. J. Patil} et al., Springer Proc. Math. Stat. 342, 25--45 (2021; Zbl 07332000) Full Text: DOI OpenURL
Yang, Shuquan; Jia, Zhaoli; Wu, Qianqian; Wu, Huojun Homotopy analysis method for portfolio optimization problem under the 3/2 model. (English) Zbl 1460.91256 J. Syst. Sci. Complex. 34, No. 3, 1087-1101 (2021). MSC: 91G10 55P99 91G80 PDF BibTeX XML Cite \textit{S. Yang} et al., J. Syst. Sci. Complex. 34, No. 3, 1087--1101 (2021; Zbl 1460.91256) Full Text: DOI OpenURL
Veeresha, P.; Prakasha, D. G.; Hammouch, Zakia An efficient approach for the model of thrombin receptor activation mechanism with Mittag-Leffler function. (English) Zbl 1464.34072 Hammouch, Zakia (ed.) et al., Nonlinear analysis: problems, applications and computational methods. Proceedings of the 6th international congress of the Moroccan Society of Applied Mathematics, Beni-Mellal, Morocco, November 7–9, 2019. Cham: Springer. Lect. Notes Netw. Syst. 168, 44-60 (2021). MSC: 34C60 92C37 34A08 47N20 34A45 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Lect. Notes Netw. Syst. 168, 44--60 (2021; Zbl 1464.34072) Full Text: DOI OpenURL
Senol, Mehmet; Akinyemi, Lanre; Ata, Ayşe; Iyiola, Olaniyi S. Approximate and generalized solutions of conformable type Coudrey-Dodd-Gibbon-Sawada-Kotera equation. (English) Zbl 1455.35228 Int. J. Mod. Phys. B 35, No. 2, Article ID 2150021, 17 p. (2021). MSC: 35Q53 35R11 35A25 PDF BibTeX XML Cite \textit{M. Senol} et al., Int. J. Mod. Phys. B 35, No. 2, Article ID 2150021, 17 p. (2021; Zbl 1455.35228) Full Text: DOI OpenURL
Veeresha, P.; Prakasha, D. G.; Singh, Jagdev; Khan, Ilyas; Kumar, Devendra Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel. (English) Zbl 07440158 Adv. Difference Equ. 2020, Paper No. 174, 17 p. (2020). MSC: 39-XX 34-XX PDF BibTeX XML Cite \textit{P. Veeresha} et al., Adv. Difference Equ. 2020, Paper No. 174, 17 p. (2020; Zbl 07440158) Full Text: DOI OpenURL
Akinyemi, Lanre; Iyiola, Olaniyi S. A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations. (English) Zbl 07440153 Adv. Difference Equ. 2020, Paper No. 169, 27 p. (2020). MSC: 39-XX 34-XX PDF BibTeX XML Cite \textit{L. Akinyemi} and \textit{O. S. Iyiola}, Adv. Difference Equ. 2020, Paper No. 169, 27 p. (2020; Zbl 07440153) Full Text: DOI OpenURL
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. (English) Zbl 07439296 Adv. Difference Equ. 2020, Paper No. 71, 17 p. (2020). MSC: 37A25 34D20 PDF BibTeX XML Cite \textit{D. Baleanu} et al., Adv. Difference Equ. 2020, Paper No. 71, 17 p. (2020; Zbl 07439296) Full Text: DOI OpenURL
Wang, Ping; Wang, Yongyan; Huo, Xintai Nonlinear hydroelastic interaction among a floating elastic plate, water waves, and exponential shear currents. (English) Zbl 07427035 Adv. Math. Phys. 2020, Article ID 7360794, 10 p. (2020). MSC: 76B15 76M45 74F10 PDF BibTeX XML Cite \textit{P. Wang} et al., Adv. Math. Phys. 2020, Article ID 7360794, 10 p. (2020; Zbl 07427035) Full Text: DOI OpenURL
Leulmi, S.; Ayadi, A. The application of the homotopy analysis method for solving the two phase inverse Stefan problem with optimisation. (English) Zbl 1464.90117 Indian J. Math. 62, No. 2, 209-229 (2020). MSC: 90C90 90C52 PDF BibTeX XML Cite \textit{S. Leulmi} and \textit{A. Ayadi}, Indian J. Math. 62, No. 2, 209--229 (2020; Zbl 1464.90117) OpenURL
Hayat, T.; Haider, F.; Muhammad, T.; Alsaedi, A. Darcy-Forchheimer flow by rotating disk with partial slip. (English) Zbl 1457.76164 AMM, Appl. Math. Mech., Engl. Ed. 41, No. 5, 741-752 (2020). MSC: 76S05 PDF BibTeX XML Cite \textit{T. Hayat} et al., AMM, Appl. Math. Mech., Engl. Ed. 41, No. 5, 741--752 (2020; Zbl 1457.76164) Full Text: DOI OpenURL
Khan, M.; Ahmed, A.; Ahmed, J. Transient flow of magnetized Maxwell nanofluid: Buongiorno model perspective of Cattaneo-Christov theory. (English) Zbl 1457.76034 AMM, Appl. Math. Mech., Engl. Ed. 41, No. 4, 655-666 (2020). MSC: 76A10 76D10 76M55 PDF BibTeX XML Cite \textit{M. Khan} et al., AMM, Appl. Math. Mech., Engl. Ed. 41, No. 4, 655--666 (2020; Zbl 1457.76034) Full Text: DOI OpenURL
Ray, Atul Kumar; Vasu, B.; Murthy, P. V. S. N.; Gorla, Rama S. R. Non-similar solution of Eyring-Powell fluid flow and heat transfer with convective boundary condition: homotopy analysis method. (English) Zbl 1459.80005 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 16, 22 p. (2020). MSC: 80A19 76A05 80M99 PDF BibTeX XML Cite \textit{A. K. Ray} et al., Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 16, 22 p. (2020; Zbl 1459.80005) Full Text: DOI OpenURL
Omari, Derar; Alomari, A. K.; Mansour, Ammar; Bawaneh, Alaa; Mansour, Awad Analytical solution of the non-linear Michaelis-Menten pharmacokinetics equation. (English) Zbl 1466.92067 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 10, 9 p. (2020). MSC: 92C45 92-08 PDF BibTeX XML Cite \textit{D. Omari} et al., Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 10, 9 p. (2020; Zbl 1466.92067) Full Text: DOI OpenURL
Akinyemi, Lanre; Huseen, Shaheed N. A powerful approach to study the new modified coupled Korteweg-de Vries system. (English) Zbl 07318116 Math. Comput. Simul. 177, 556-567 (2020). MSC: 35Rxx 35Axx PDF BibTeX XML Cite \textit{L. Akinyemi} and \textit{S. N. Huseen}, Math. Comput. Simul. 177, 556--567 (2020; Zbl 07318116) Full Text: DOI OpenURL
Naik, Parvaiz Ahmad; Zu, Jian; Ghoreishi, Mohammad Stability analysis and approximate solution of SIR epidemic model with Crowley-Martin type functional response and Holling type-II treatment rate by using homotopy analysis method. (English) Zbl 1455.34039 J. Appl. Anal. Comput. 10, No. 4, 1482-1515 (2020). MSC: 34C23 34C60 34D23 92D30 34D20 PDF BibTeX XML Cite \textit{P. A. Naik} et al., J. Appl. Anal. Comput. 10, No. 4, 1482--1515 (2020; Zbl 1455.34039) Full Text: DOI OpenURL
Sidorov, Nikolaĭ Aleksandrovich The role of a priori estimates in the method of non-local continuation of solution by parameter. (Russian. English summary) Zbl 07311846 Izv. Irkutsk. Gos. Univ., Ser. Mat. 34, 67-76 (2020). MSC: 47H99 PDF BibTeX XML Cite \textit{N. A. Sidorov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 34, 67--76 (2020; Zbl 07311846) Full Text: DOI Link OpenURL
Abolvafaei, Mahnaz; Ganjefar, Soheil Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method. (English) Zbl 1458.93189 Math. Control Signals Syst. 32, No. 4, 517-542 (2020). MSC: 93D05 93C15 26A33 93C70 93C10 PDF BibTeX XML Cite \textit{M. Abolvafaei} and \textit{S. Ganjefar}, Math. Control Signals Syst. 32, No. 4, 517--542 (2020; Zbl 1458.93189) Full Text: DOI OpenURL
Prakasha, Doddabhadrappla Gowda; Malagi, Naveen Sanju; Veeresha, Pundikala New approach for fractional Schrödinger-Boussinesq equations with Mittag-Leffler kernel. (English) Zbl 1455.35293 Math. Methods Appl. Sci. 43, No. 17, 9654-9670 (2020). MSC: 35R11 35G55 35Q55 PDF BibTeX XML Cite \textit{D. G. Prakasha} et al., Math. Methods Appl. Sci. 43, No. 17, 9654--9670 (2020; Zbl 1455.35293) Full Text: DOI OpenURL
Mishra, Hradyesh Kumar; Tripathi, Rajnee Homotopy perturbation method of delay differential equation using He’s polynomial with Laplace transform. (English) Zbl 1458.34115 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289-298 (2020). MSC: 34K05 34K07 44A10 PDF BibTeX XML Cite \textit{H. K. Mishra} and \textit{R. Tripathi}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289--298 (2020; Zbl 1458.34115) Full Text: DOI OpenURL
Sharma, Ram Prakash; Jain, Madhu; Kumar, Devendra Analytical solution of exothermic reactions model with constant heat source and porous medium. (English) Zbl 1459.80006 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 239-243 (2020). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A19 80A21 44A10 35K05 80M99 PDF BibTeX XML Cite \textit{R. P. Sharma} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 239--243 (2020; Zbl 1459.80006) Full Text: DOI OpenURL
Sacramento, Marta; Almeida, Cecília; Moreira, Miguel IFOHAM – a generalization of the Picard-Lindelöf iteration method. (IFOHAM – a generalization of the Picard-Lindelöff iteration method.) (English) Zbl 1454.65054 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. Selected papers based on the presentations at the fourth international conference, ICDDEA 2019, Lisbon, Portugal, July 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 333, 497-516 (2020). MSC: 65L99 34C15 65L05 PDF BibTeX XML Cite \textit{M. Sacramento} et al., Springer Proc. Math. Stat. 333, 497--516 (2020; Zbl 1454.65054) Full Text: DOI OpenURL
Tong, Shanshan; Han, Bo; Tang, Jinping A projective averaged Kaczmarz iteration for nonlinear ill-posed problems. (English) Zbl 1451.65068 Inverse Probl. 36, No. 9, Article ID 095012, 23 p. (2020). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J15 65J20 47J06 65N20 PDF BibTeX XML Cite \textit{S. Tong} et al., Inverse Probl. 36, No. 9, Article ID 095012, 23 p. (2020; Zbl 1451.65068) Full Text: DOI OpenURL
Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baskonus, Haci Mehmet; Yel, Gulnur An efficient analytical approach for fractional Lakshmanan-Porsezian-Daniel model. (English) Zbl 1454.35352 Math. Methods Appl. Sci. 43, No. 7, 4136-4155 (2020). MSC: 35Q55 44A10 65M99 35R11 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Math. Methods Appl. Sci. 43, No. 7, 4136--4155 (2020; Zbl 1454.35352) Full Text: DOI OpenURL
Akinyemi, Lanre; Iyiola, Olaniyi S.; Akpan, Udoh Iterative methods for solving fourth- and sixth-order time-fractional Cahn-Hilliard equation. (Iterative methods for solving fourth- and sixth-order time-fractional Cahn-Hillard equation.) (English) Zbl 1447.65109 Math. Methods Appl. Sci. 43, No. 7, 4050-4074 (2020). MSC: 65M99 65M12 65M15 35R11 26A33 35Q35 PDF BibTeX XML Cite \textit{L. Akinyemi} et al., Math. Methods Appl. Sci. 43, No. 7, 4050--4074 (2020; Zbl 1447.65109) Full Text: DOI OpenURL
Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baleanu, Dumitru Analysis of fractional Swift-Hohenberg equation using a novel computational technique. (English) Zbl 1446.35256 Math. Methods Appl. Sci. 43, No. 4, 1970-1987 (2020). MSC: 35R11 26A33 41A58 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Math. Methods Appl. Sci. 43, No. 4, 1970--1987 (2020; Zbl 1446.35256) Full Text: DOI OpenURL
Bhattacharyya, A.; Seth, G. S.; Kumar, R. Modeling of viscoelastic fluid flow past a non-linearly stretching surface with convective heat transfer: OHAM analysis. (English) Zbl 1441.80007 Manna, Santanu (ed.) et al., Mathematical modelling and scientific computing with applications. Proceedings of the international conference, ICMMSC 2018, Indore, India, July 19–21, 2018. Singapore: Springer. Springer Proc. Math. Stat. 308, 297-312 (2020). MSC: 80A21 80A19 76A10 76W05 76M99 PDF BibTeX XML Cite \textit{A. Bhattacharyya} et al., Springer Proc. Math. Stat. 308, 297--312 (2020; Zbl 1441.80007) Full Text: DOI OpenURL
Akinyemi, Lanre A fractional analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction. (English) Zbl 1463.35480 Comput. Appl. Math. 39, No. 3, Paper No. 175, 34 p. (2020). MSC: 35Q92 35R11 PDF BibTeX XML Cite \textit{L. Akinyemi}, Comput. Appl. Math. 39, No. 3, Paper No. 175, 34 p. (2020; Zbl 1463.35480) Full Text: DOI OpenURL
Singh, Jagdev; Kumar, Devendra; Kumar, Sunil An efficient computational method for local fractional transport equation occurring in fractal porous media. (English) Zbl 1463.76050 Comput. Appl. Math. 39, No. 3, Paper No. 137, 10 p. (2020). MSC: 76S05 26A33 35R11 35Q99 PDF BibTeX XML Cite \textit{J. Singh} et al., Comput. Appl. Math. 39, No. 3, Paper No. 137, 10 p. (2020; Zbl 1463.76050) Full Text: DOI OpenURL
Srivastava, H. M.; Jena, Rajarama Mohan; Chakraverty, Snehashish; Jena, Subrat Kumar Dynamic response analysis of fractionally-damped generalized Bagley-Torvik equation subject to external loads. (English) Zbl 1440.65272 Russ. J. Math. Phys. 27, No. 2, 254-268 (2020). MSC: 65N99 26A33 35R11 74F10 74K20 35Q74 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Russ. J. Math. Phys. 27, No. 2, 254--268 (2020; Zbl 1440.65272) Full Text: DOI OpenURL
Ramos, Higinio; Rufai, M. A. Numerical solution of boundary value problems by using an optimized two-step block method. (English) Zbl 1440.65075 Numer. Algorithms 84, No. 1, 229-251 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L10 65L05 65L20 PDF BibTeX XML Cite \textit{H. Ramos} and \textit{M. A. Rufai}, Numer. Algorithms 84, No. 1, 229--251 (2020; Zbl 1440.65075) Full Text: DOI OpenURL
Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Taneco-Hernández, Marco Antonio Mathematical modeling approach to the fractional Bergman’s model. (English) Zbl 1442.34084 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 805-821 (2020). MSC: 34C60 92C50 34A08 44A10 34A25 PDF BibTeX XML Cite \textit{V. F. Morales-Delgado} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 805--821 (2020; Zbl 1442.34084) Full Text: DOI OpenURL
Zhang, Guoqi; Wu, Zhiqiang Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives. (English) Zbl 07193029 Appl. Math. Modelling 77, Part 2, 1294-1309 (2020). MSC: 34-XX 65-XX PDF BibTeX XML Cite \textit{G. Zhang} and \textit{Z. Wu}, Appl. Math. Modelling 77, Part 2, 1294--1309 (2020; Zbl 07193029) Full Text: DOI OpenURL
Odibat, Zaid An improved optimal homotopy analysis algorithm for nonlinear differential equations. (English) Zbl 1436.65154 J. Math. Anal. Appl. 488, No. 2, Article ID 124089, 13 p. (2020). MSC: 65M99 65M12 35F20 35Q92 PDF BibTeX XML Cite \textit{Z. Odibat}, J. Math. Anal. Appl. 488, No. 2, Article ID 124089, 13 p. (2020; Zbl 1436.65154) Full Text: DOI OpenURL
Saratha, S. R.; Bagyalakshmi, M.; Sai Sundara Krishnan, G. Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations. (English) Zbl 1449.65293 Comput. Appl. Math. 39, No. 2, Paper No. 112, 32 p. (2020). MSC: 65M99 35R11 34A08 34A25 35C10 35G31 PDF BibTeX XML Cite \textit{S. R. Saratha} et al., Comput. Appl. Math. 39, No. 2, Paper No. 112, 32 p. (2020; Zbl 1449.65293) Full Text: DOI OpenURL
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology. (English) Zbl 1443.92192 Int. J. Biomath. 13, No. 2, Article ID 2050011, 22 p. (2020). MSC: 92D40 26A33 65R99 PDF BibTeX XML Cite \textit{V. P. Dubey} et al., Int. J. Biomath. 13, No. 2, Article ID 2050011, 22 p. (2020; Zbl 1443.92192) Full Text: DOI OpenURL
Li, Yongqiang; Zhou, Mao; Wang, Tao; Zhang, Yingjie Nonlinear primary resonance with \(1:3:6\) internal resonances of the symmetric rectangular honeycomb sandwich panels. (English) Zbl 07173569 Eur. J. Mech., A, Solids 80, Article ID 103908, 13 p. (2020). Reviewer: Girish Kumar Ramaiah (Bangalore) MSC: 74H45 74K20 74E30 74S99 PDF BibTeX XML Cite \textit{Y. Li} et al., Eur. J. Mech., A, Solids 80, Article ID 103908, 13 p. (2020; Zbl 07173569) Full Text: DOI OpenURL
Abedin-Nasab, Mohammad H.; Bastawrous, Mary V.; Hussein, Mahmoud I. Explicit dispersion relation for strongly nonlinear flexural waves using the homotopy analysis method. (English) Zbl 1430.74078 Nonlinear Dyn. 99, No. 1, 737-752 (2020). MSC: 74K10 74J30 PDF BibTeX XML Cite \textit{M. H. Abedin-Nasab} et al., Nonlinear Dyn. 99, No. 1, 737--752 (2020; Zbl 1430.74078) Full Text: DOI OpenURL
Rashidi, Saeede; Hejazi, Seyed Reza Self-adjointness, conservation laws and invariant solutions of the Buckmaster equation. (English) Zbl 1449.58003 Comput. Methods Differ. Equ. 8, No. 1, 85-98 (2020). MSC: 58D19 58J70 76M60 70S10 70H33 PDF BibTeX XML Cite \textit{S. Rashidi} and \textit{S. R. Hejazi}, Comput. Methods Differ. Equ. 8, No. 1, 85--98 (2020; Zbl 1449.58003) Full Text: DOI OpenURL
Saha Ray, Santanu Nonlinear differential equations in physics. Novel methods for finding solutions. (English) Zbl 1445.35010 Singapore: Springer (ISBN 978-981-15-1655-9/hbk; 978-981-15-1656-6/ebook). xxxi, 388 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35-02 34-02 65-02 35R11 35C05 PDF BibTeX XML Cite \textit{S. Saha Ray}, Nonlinear differential equations in physics. Novel methods for finding solutions. Singapore: Springer (2020; Zbl 1445.35010) Full Text: DOI OpenURL
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation. (English) Zbl 1433.35454 Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020). MSC: 35R11 35Q53 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020; Zbl 1433.35454) Full Text: DOI OpenURL
Saberi, Elaheh; Hejazi, S. Reza A comparison of conservation laws of the Boussinesq system. (English) Zbl 07390806 Kragujevac J. Math. 43, No. 2, 173-200 (2019). MSC: 58J70 76M60 PDF BibTeX XML Cite \textit{E. Saberi} and \textit{S. R. Hejazi}, Kragujevac J. Math. 43, No. 2, 173--200 (2019; Zbl 07390806) Full Text: Link OpenURL
Shajari, P. Sattari; Shidfar, A. Application of weighted homotopy analysis method to solve an inverse source problem for wave equation. (English) Zbl 1471.65125 Inverse Probl. Sci. Eng. 27, No. 1, 61-88 (2019). MSC: 65M32 35M99 35R30 35L20 35L05 35C10 PDF BibTeX XML Cite \textit{P. S. Shajari} and \textit{A. Shidfar}, Inverse Probl. Sci. Eng. 27, No. 1, 61--88 (2019; Zbl 1471.65125) Full Text: DOI OpenURL
Veeresha, P.; Prakasha, D. G. A novel technique for \((2 + 1)\)-dimensional time-fractional coupled Burgers equations. (English) Zbl 07316775 Math. Comput. Simul. 166, 324-345 (2019). MSC: 92Cxx 26Axx 37Nxx PDF BibTeX XML Cite \textit{P. Veeresha} and \textit{D. G. Prakasha}, Math. Comput. Simul. 166, 324--345 (2019; Zbl 07316775) Full Text: DOI OpenURL
Shukla, Anant Kant; Ramamohan, T. R.; Srinivas, S. Analytical solutions to nonlinear problems by the generalised form of HAM: a note. (English) Zbl 1453.65205 Int. J. Comput. Sci. Math. 10, No. 2, 160-173 (2019). MSC: 65L99 PDF BibTeX XML Cite \textit{A. K. Shukla} et al., Int. J. Comput. Sci. Math. 10, No. 2, 160--173 (2019; Zbl 1453.65205) Full Text: DOI OpenURL
Cullen, Andrew C.; Clarke, Simon R. A fast, spectrally accurate homotopy based numerical method for solving nonlinear differential equations. (English) Zbl 1451.65094 J. Comput. Phys. 385, 106-118 (2019). MSC: 65L10 65L99 34B15 PDF BibTeX XML Cite \textit{A. C. Cullen} and \textit{S. R. Clarke}, J. Comput. Phys. 385, 106--118 (2019; Zbl 1451.65094) Full Text: DOI arXiv OpenURL
Zhang, Guoqi; Wu, Zhiqiang Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations. (English) Zbl 1448.34077 Chaos Solitons Fractals 127, 342-353 (2019). MSC: 34C15 34C27 34C60 34A45 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{Z. Wu}, Chaos Solitons Fractals 127, 342--353 (2019; Zbl 1448.34077) Full Text: DOI OpenURL
Abdulghani, Mohammed; Hamoud, Ahmed; Ghadle, Kirtiwant The effective modification of some analytical techniques for Fredholm integro-differential equations. (English) Zbl 1474.65485 Bull. Int. Math. Virtual Inst. 9, No. 2, 345-353 (2019). MSC: 65R20 45B05 45J05 65L99 PDF BibTeX XML Cite \textit{M. Abdulghani} et al., Bull. Int. Math. Virtual Inst. 9, No. 2, 345--353 (2019; Zbl 1474.65485) Full Text: DOI Link OpenURL
Shafeeurrahman, Md.; Srinivasacharya, D. Radiation effect on mixed convection flow of nanofluid between two concentric cylinders with Hall and ion-slip effects. (English) Zbl 1441.76116 Appl. Appl. Math., Spec. Iss. 4, 82-96 (2019). MSC: 76R10 76D05 74F05 76S05 14F35 PDF BibTeX XML Cite \textit{Md. Shafeeurrahman} and \textit{D. Srinivasacharya}, Appl. Appl. Math., 82--96 (2019; Zbl 1441.76116) Full Text: Link OpenURL
Bozântan, Andrei; Berinde, Vasile A comparative study of the PL homotopy and BFGS methods for some nonsmooth optimization problems. (English) Zbl 1474.49056 Creat. Math. Inform. 28, No. 2, 97-104 (2019). MSC: 49M15 65K10 49J52 PDF BibTeX XML Cite \textit{A. Bozântan} and \textit{V. Berinde}, Creat. Math. Inform. 28, No. 2, 97--104 (2019; Zbl 1474.49056) Full Text: Link Link OpenURL
Dutta, Ajoy; Gupta, Praveen Kumar Approximate analytical solution of a HIV/AIDS dynamic model during primary infection. (English) Zbl 1447.92417 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 237-244 (2019). MSC: 92D30 PDF BibTeX XML Cite \textit{A. Dutta} and \textit{P. K. Gupta}, in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 237--244 (2019; Zbl 1447.92417) Full Text: DOI OpenURL
Bhuvaneswari, M.; Sivasankaran, S.; Niranjan, H.; Eswaramoorthi, S. Cross diffusion effects on MHD convection of Casson-Williamson fluid over a stretching surface with radiation and chemical reaction. (English) Zbl 1445.80004 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 139-146 (2019). MSC: 80A21 80A19 80A32 76V05 76W05 76A05 76M55 65L99 PDF BibTeX XML Cite \textit{M. Bhuvaneswari} et al., in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 139--146 (2019; Zbl 1445.80004) Full Text: DOI OpenURL
Das, Abhijit; Sahoo, Bikash An analytic solution of the unsteady flow between two coaxial rotating disks. (English) Zbl 1446.76173 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 129-138 (2019). MSC: 76U05 76D05 76M45 76M55 PDF BibTeX XML Cite \textit{A. Das} and \textit{B. Sahoo}, in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 129--138 (2019; Zbl 1446.76173) Full Text: DOI OpenURL
Jagan, K.; Sivasankaran, S.; Bhuvaneswari, M.; Rajan, S. Effect of non-linear radiation on 3D unsteady MHD nanoliquid flow over a stretching surface with double stratification. (English) Zbl 1445.76096 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 109-116 (2019). MSC: 76W05 76S05 76A05 80A21 PDF BibTeX XML Cite \textit{K. Jagan} et al., in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 109--116 (2019; Zbl 1445.76096) Full Text: DOI OpenURL
Liu, Tianbao; Qin, Xiwen; Li, Qiuyue An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior. (English) Zbl 1442.65089 Open Math. 17, 1567-1598 (2019). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 37N30 65H20 41A21 PDF BibTeX XML Cite \textit{T. Liu} et al., Open Math. 17, 1567--1598 (2019; Zbl 1442.65089) Full Text: DOI OpenURL
Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method. (English) Zbl 1452.92043 Math. Sci., Springer 13, No. 2, 115-128 (2019). MSC: 92D30 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Math. Sci., Springer 13, No. 2, 115--128 (2019; Zbl 1452.92043) Full Text: DOI OpenURL
Alipour, M.; Vali, M. A.; Borzabadi, A. H. A hybrid parametrization approach for a class of nonlinear optimal control problems. (English) Zbl 1439.49041 Numer. Algebra Control Optim. 9, No. 4, 493-506 (2019). MSC: 49K21 65K10 PDF BibTeX XML Cite \textit{M. Alipour} et al., Numer. Algebra Control Optim. 9, No. 4, 493--506 (2019; Zbl 1439.49041) Full Text: DOI OpenURL
Lin, Xin; Huang, Yixin; Zhao, Yang; Wang, Tianshu Large deformation analysis of a cantilever beam made of axially functionally graded material by homotopy analysis method. (English) Zbl 1431.74067 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 10, 1375-1386 (2019). MSC: 74K10 74G10 74E30 PDF BibTeX XML Cite \textit{X. Lin} et al., AMM, Appl. Math. Mech., Engl. Ed. 40, No. 10, 1375--1386 (2019; Zbl 1431.74067) Full Text: DOI OpenURL
Saad, Khaled M.; Srivastava, H. M.; Kumar, Devendra A reliable analytical algorithm for cubic isothermal auto-catalytic chemical system. (English) Zbl 1429.65265 Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 243-260 (2019). MSC: 65M99 35Q92 92-08 92E99 PDF BibTeX XML Cite \textit{K. M. Saad} et al., Springer Proc. Math. Stat. 272, 243--260 (2019; Zbl 1429.65265) Full Text: DOI OpenURL
Luo, Jiongxing Homotopy analysis solution for solving boundary value problems on the second order nonlinear differential equation. (Chinese. English summary) Zbl 1449.34054 Math. Pract. Theory 49, No. 9, 253-263 (2019). MSC: 34A45 34B15 34A25 PDF BibTeX XML Cite \textit{J. Luo}, Math. Pract. Theory 49, No. 9, 253--263 (2019; Zbl 1449.34054) OpenURL
Hamoud, Ahmed A.; Ghadle, Kirtiwant P.; Pathade, Priyanka A. An existence and convergence results for Caputo fractional Volterra integro-differential equations. (English) Zbl 1474.45074 Jordan J. Math. Stat. 12, No. 3, 307-327 (2019). MSC: 45L05 45D05 34K37 34K07 65R20 PDF BibTeX XML Cite \textit{A. A. Hamoud} et al., Jordan J. Math. Stat. 12, No. 3, 307--327 (2019; Zbl 1474.45074) Full Text: Link OpenURL
Tong, Shanshan; Han, Bo; Long, Haie; Gu, Ruixue An accelerated sequential subspace optimization method based on homotopy perturbation iteration for nonlinear ill-posed problems. (English) Zbl 07140031 Inverse Probl. 35, No. 12, Article ID 125005, 30 p. (2019). MSC: 65Jxx 47Jxx 45Gxx 65Rxx PDF BibTeX XML Cite \textit{S. Tong} et al., Inverse Probl. 35, No. 12, Article ID 125005, 30 p. (2019; Zbl 07140031) Full Text: DOI OpenURL
Zuriqat, M. Exact solution for the fractional partial differential equation by homo separation analysis method. (English) Zbl 1438.35288 Afr. Mat. 30, No. 7-8, 1133-1143 (2019). MSC: 35M11 PDF BibTeX XML Cite \textit{M. Zuriqat}, Afr. Mat. 30, No. 7--8, 1133--1143 (2019; Zbl 1438.35288) Full Text: DOI OpenURL
Hamoud, Ahmed A.; Hussain, Khawlah H.; Mohammed, Nedal M.; Ghadle, Kirtiwant P. Solving Fredholm integro-differential equations by using numerical techniques. (English) Zbl 07132873 Nonlinear Funct. Anal. Appl. 24, No. 3, 533-542 (2019). MSC: 47G20 65H20 65M55 PDF BibTeX XML Cite \textit{A. A. Hamoud} et al., Nonlinear Funct. Anal. Appl. 24, No. 3, 533--542 (2019; Zbl 07132873) Full Text: Link OpenURL
Pichi, Federico; Rozza, Gianluigi Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. (English) Zbl 1427.35275 J. Sci. Comput. 81, No. 1, 112-135 (2019). MSC: 35Q74 35J60 65N25 74S05 74G60 65H20 65K05 65-02 65H10 65H17 65N30 35P05 35B32 PDF BibTeX XML Cite \textit{F. Pichi} and \textit{G. Rozza}, J. Sci. Comput. 81, No. 1, 112--135 (2019; Zbl 1427.35275) Full Text: DOI arXiv OpenURL
Chang, Jen-Yi; Tsai, Chia-Cheng; Young, D. L. Homotopy method of fundamental solutions for solving nonlinear heat conduction problems. (English) Zbl 1464.80045 Eng. Anal. Bound. Elem. 108, 179-191 (2019). MSC: 80M99 65N80 80A19 PDF BibTeX XML Cite \textit{J.-Y. Chang} et al., Eng. Anal. Bound. Elem. 108, 179--191 (2019; Zbl 1464.80045) Full Text: DOI OpenURL
Akinyemi, Lanre q-homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg-de Vries and Sawada-Kotera equations. (English) Zbl 1449.35427 Comput. Appl. Math. 38, No. 4, Paper No. 191, 22 p. (2019). MSC: 35R11 26A33 35Q53 PDF BibTeX XML Cite \textit{L. Akinyemi}, Comput. Appl. Math. 38, No. 4, Paper No. 191, 22 p. (2019; Zbl 1449.35427) Full Text: DOI OpenURL
Shan, Li; Feng, Sijia Optimal homotopy asymptotic method with application to the Burgers equation. (Chinese. English summary) Zbl 1438.65268 Numer. Math., Nanjing 41, No. 1, 45-53 (2019). MSC: 65M99 35Q53 PDF BibTeX XML Cite \textit{L. Shan} and \textit{S. Feng}, Numer. Math., Nanjing 41, No. 1, 45--53 (2019; Zbl 1438.65268) OpenURL
Zhong, Xiaoxu; Sun, Bohua; Liao, Shijun Analytic solutions of the rise dynamics of liquid in a vertical cylindrical capillary. (English) Zbl 07109806 Eur. J. Mech., B, Fluids 78, 1-10 (2019). MSC: 76D45 76M45 PDF BibTeX XML Cite \textit{X. Zhong} et al., Eur. J. Mech., B, Fluids 78, 1--10 (2019; Zbl 07109806) Full Text: DOI arXiv OpenURL
Nemrat, Asem Al; Zainuddin, Zarita Solving two point boundary value problems by modified Sumudu transform homotopy perturbation method. (English) Zbl 1420.60062 Aust. J. Math. Anal. Appl. 16, No. 2, Article No. 5, 17 p. (2019). MSC: 60H05 60H10 60H20 PDF BibTeX XML Cite \textit{A. A. Nemrat} and \textit{Z. Zainuddin}, Aust. J. Math. Anal. Appl. 16, No. 2, Article No. 5, 17 p. (2019; Zbl 1420.60062) Full Text: Link OpenURL
Kumar, Ajay; Singh, Abhishek Kumar; Rajeev A phase change problem including space-dependent latent heat and periodic heat flux. (English) Zbl 1430.80009 Nonlinear Dyn. Syst. Theory 19, No. 1, Spec. Iss., 178-185 (2019). MSC: 80A22 35R37 35R35 80A19 80M99 PDF BibTeX XML Cite \textit{A. Kumar} et al., Nonlinear Dyn. Syst. Theory 19, No. 1, 178--185 (2019; Zbl 1430.80009) OpenURL
Kurt, Ali; Tasbozan, Orkun Approximate analytical solutions to conformable modified Burgers equation using homotopy analysis method. (English) Zbl 1420.35058 Ann. Math. Sil. 33, 159-167 (2019). MSC: 35C05 35R11 35Q53 PDF BibTeX XML Cite \textit{A. Kurt} and \textit{O. Tasbozan}, Ann. Math. Sil. 33, 159--167 (2019; Zbl 1420.35058) Full Text: DOI OpenURL
Maitama, Shehu; Zhao, Weidong Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets. (English) Zbl 1463.65339 Comput. Appl. Math. 38, No. 2, Paper No. 65, 22 p. (2019). MSC: 65M99 26A33 35R11 68W30 PDF BibTeX XML Cite \textit{S. Maitama} and \textit{W. Zhao}, Comput. Appl. Math. 38, No. 2, Paper No. 65, 22 p. (2019; Zbl 1463.65339) Full Text: DOI OpenURL
Shah, Kunjan; Singh, Twinkle Modified approach to solve nonlinear equation arising in infiltration phenomenon. (English) Zbl 1453.76189 S\(\vec{\text{e}}\)MA J. 76, No. 1, 79-95 (2019). MSC: 76M99 65M99 76S05 PDF BibTeX XML Cite \textit{K. Shah} and \textit{T. Singh}, S\(\vec{\text{e}}\)MA J. 76, No. 1, 79--95 (2019; Zbl 1453.76189) Full Text: DOI OpenURL
El Kaimbillah, Ahmed; Bourihane, Oussama; Braikat, Bouazza; Jamal, Mohammad; Mohri, Foudil; Damil, Noureddine Efficient high-order implicit solvers for the dynamic of thin-walled beams with open cross section under external arbitrary loadings. (English) Zbl 07097933 Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1685-1708 (2019). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{A. El Kaimbillah} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1685--1708 (2019; Zbl 07097933) Full Text: DOI OpenURL