Yadav, Pramod Kumar; Yadav, Nitisha A study on the flow of couple stress fluid in a porous curved channel. (English) Zbl 07801652 Comput. Math. Appl. 152, 1-15 (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{P. K. Yadav} and \textit{N. Yadav}, Comput. Math. Appl. 152, 1--15 (2023; Zbl 07801652) Full Text: DOI
Huang, Yao; Hao, Wenrui; Lin, Guang HomPINNs: homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations. (English) Zbl 1524.65937 Comput. Math. Appl. 121, 62-73 (2022). MSC: 65N99 68T07 35K57 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Math. Appl. 121, 62--73 (2022; Zbl 1524.65937) Full Text: DOI
Wang, An-Yang; Xu, Hang Highly accurate wavelet-homotopy solutions for mixed convection hybrid nanofluid flow in an inclined square lid-driven cavity. (English) Zbl 1524.76433 Comput. Math. Appl. 108, 88-108 (2022). MSC: 76R10 80A19 65T60 76M12 76M20 PDFBibTeX XMLCite \textit{A.-Y. Wang} and \textit{H. Xu}, Comput. Math. Appl. 108, 88--108 (2022; Zbl 1524.76433) Full Text: DOI
Yu, Qiang; Xu, Hang A homotopy-based wavelet approach for large deflection of a circular plate on nonlinear foundations with parameterized boundaries. (English) Zbl 1524.65943 Comput. Math. Appl. 90, 80-95 (2021). MSC: 65N99 35Q74 65T60 74K20 PDFBibTeX XMLCite \textit{Q. Yu} and \textit{H. Xu}, Comput. Math. Appl. 90, 80--95 (2021; Zbl 1524.65943) Full Text: DOI
Jiménez-Islas, Hugo; Calderón-Ramírez, Mario; Martínez-González, Gloria María; Calderón-Álvarado, Martha Patricia; Oliveros-Muñoz, Juan Manuel Multiple solutions for steady differential equations via hyperspherical path-tracking of homotopy curves. (English) Zbl 1439.65131 Comput. Math. Appl. 79, No. 8, 2216-2239 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65N06 35K57 76R10 76M20 PDFBibTeX XMLCite \textit{H. Jiménez-Islas} et al., Comput. Math. Appl. 79, No. 8, 2216--2239 (2020; Zbl 1439.65131) Full Text: DOI
Nadeem, Muhammad; Li, Fengquan; Ahmad, Hijaz Modified Laplace variational iteration method for solving fourth-order parabolic partial differential equation with variable coefficients. (English) Zbl 1442.65317 Comput. Math. Appl. 78, No. 6, 2052-2062 (2019). MSC: 65M80 PDFBibTeX XMLCite \textit{M. Nadeem} et al., Comput. Math. Appl. 78, No. 6, 2052--2062 (2019; Zbl 1442.65317) Full Text: DOI
Yin, Xiaojun; Yang, Liangui; Liu, Quansheng; Wu, Guorong \((2+1)\)-dimensional ZK-Burgers equation with the generalized beta effect and its exact solitary solution. (English) Zbl 1442.76135 Comput. Math. Appl. 77, No. 1, 302-310 (2019). MSC: 76U65 35C08 35Q53 35Q86 86A05 PDFBibTeX XMLCite \textit{X. Yin} et al., Comput. Math. Appl. 77, No. 1, 302--310 (2019; Zbl 1442.76135) Full Text: DOI
Saha Ray, S.; Gupta, A. K. Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation. (English) Zbl 1412.65166 Comput. Math. Appl. 73, No. 6, 1118-1133 (2017). MSC: 65M70 65T60 35Q53 35R11 65M99 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{A. K. Gupta}, Comput. Math. Appl. 73, No. 6, 1118--1133 (2017; Zbl 1412.65166) Full Text: DOI
Zhang, Ruigang; Yang, Liangui; Song, Jian; Yang, Hongli \((2+1)\) dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method. (English) Zbl 1371.86021 Comput. Math. Appl. 73, No. 9, 1996-2003 (2017). MSC: 86A10 35Q86 35Q53 PDFBibTeX XMLCite \textit{R. Zhang} et al., Comput. Math. Appl. 73, No. 9, 1996--2003 (2017; Zbl 1371.86021) Full Text: DOI
Liu, Tao A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations. (English) Zbl 1443.42024 Comput. Math. Appl. 71, No. 7, 1519-1523 (2016). MSC: 42C40 35R30 PDFBibTeX XMLCite \textit{T. Liu}, Comput. Math. Appl. 71, No. 7, 1519--1523 (2016; Zbl 1443.42024) Full Text: DOI
Axelsson, Owe; Sysala, Stanislav Continuation Newton methods. (English) Zbl 1443.65076 Comput. Math. Appl. 70, No. 11, 2621-2637 (2015). MSC: 65H20 65N22 65N30 74C15 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{S. Sysala}, Comput. Math. Appl. 70, No. 11, 2621--2637 (2015; Zbl 1443.65076) Full Text: DOI
Ebaid, Abdelhalim Remarks on the homotopy perturbation method for the peristaltic flow of Jeffrey fluid with nano-particles in an asymmetric channel. (English) Zbl 1369.76039 Comput. Math. Appl. 68, No. 3, 77-85 (2014). MSC: 76M25 76A05 PDFBibTeX XMLCite \textit{A. Ebaid}, Comput. Math. Appl. 68, No. 3, 77--85 (2014; Zbl 1369.76039) Full Text: DOI
Hashmi, Muhammad Sadiq; Khan, Nargis; Iqbal, Shaukat Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method. (English) Zbl 1268.65166 Comput. Math. Appl. 64, No. 6, 1567-1574 (2012). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{M. S. Hashmi} et al., Comput. Math. Appl. 64, No. 6, 1567--1574 (2012; Zbl 1268.65166) Full Text: DOI
Shah, Rehan Ali; Islam, Saeed; Siddiqui, A. M.; Haroon, T. Wire coating analysis with Oldroyd 8-constant fluid by optimal homotopy asymptotic method. (English) Zbl 1238.76034 Comput. Math. Appl. 63, No. 3, 695-707 (2012). MSC: 76M25 76A10 74F10 PDFBibTeX XMLCite \textit{R. A. Shah} et al., Comput. Math. Appl. 63, No. 3, 695--707 (2012; Zbl 1238.76034) Full Text: DOI
Kimiaeifar, A.; Lund, E.; Thomsen, O. T.; Sørensen, J. D. Application of the homotopy analysis method to determine the analytical limit state functions and reliability index for large deflection of a cantilever beam subjected to static co-planar loading. (English) Zbl 1236.74235 Comput. Math. Appl. 62, No. 12, 4646-4655 (2011). MSC: 74P05 74S30 65L99 74K10 PDFBibTeX XMLCite \textit{A. Kimiaeifar} et al., Comput. Math. Appl. 62, No. 12, 4646--4655 (2011; Zbl 1236.74235) Full Text: DOI
Ịbiş, Birol; Bayram, Mustafa Numerical comparison of methods for solving fractional differential-algebraic equations (FDAEs). (English) Zbl 1232.65116 Comput. Math. Appl. 62, No. 8, 3270-3278 (2011). MSC: 65L80 34A08 34C40 45J05 PDFBibTeX XMLCite \textit{B. Ịbiş} and \textit{M. Bayram}, Comput. Math. Appl. 62, No. 8, 3270--3278 (2011; Zbl 1232.65116) Full Text: DOI
Zhang, Xindong; Tang, Bo; He, Yinnian Homotopy analysis method for higher-order fractional integro-differential equations. (English) Zbl 1232.65120 Comput. Math. Appl. 62, No. 8, 3194-3203 (2011). MSC: 65L99 45J05 65R20 34A08 PDFBibTeX XMLCite \textit{X. Zhang} et al., Comput. Math. Appl. 62, No. 8, 3194--3203 (2011; Zbl 1232.65120) Full Text: DOI
Temimi, H.; Ansari, A. R.; Siddiqui, A. M. An approximate solution for the static beam problem and nonlinear integro-differential equations. (English) Zbl 1232.74130 Comput. Math. Appl. 62, No. 8, 3132-3139 (2011). MSC: 74S30 65L99 74K10 PDFBibTeX XMLCite \textit{H. Temimi} et al., Comput. Math. Appl. 62, No. 8, 3132--3139 (2011; Zbl 1232.74130) Full Text: DOI
Bi, Hui; Ding, Shusen Some strong \((p,q)\)-type inequalities for the homotopy operator. (English) Zbl 1231.26014 Comput. Math. Appl. 62, No. 4, 1780-1789 (2011). MSC: 26D15 58A10 PDFBibTeX XMLCite \textit{H. Bi} and \textit{S. Ding}, Comput. Math. Appl. 62, No. 4, 1780--1789 (2011; Zbl 1231.26014) Full Text: DOI
Tripathi, Dharmendra Peristaltic transport of fractional Maxwell fluids in uniform tubes: applications in endoscopy. (English) Zbl 1228.65204 Comput. Math. Appl. 62, No. 3, 1116-1126 (2011). MSC: 65M99 35R11 26A33 35Q35 45K05 92C50 PDFBibTeX XMLCite \textit{D. Tripathi}, Comput. Math. Appl. 62, No. 3, 1116--1126 (2011; Zbl 1228.65204) Full Text: DOI
Jafari, M. A.; Aminataei, A. An algorithm for solving multi-term diffusion-wave equations of fractional order. (English) Zbl 1228.65201 Comput. Math. Appl. 62, No. 3, 1091-1097 (2011). MSC: 65M99 35R11 26A33 45K05 PDFBibTeX XMLCite \textit{M. A. Jafari} and \textit{A. Aminataei}, Comput. Math. Appl. 62, No. 3, 1091--1097 (2011; Zbl 1228.65201) Full Text: DOI
Golbabai, A.; Sayevand, K. Analytical treatment of differential equations with fractional coordinate derivatives. (English) Zbl 1228.65200 Comput. Math. Appl. 62, No. 3, 1003-1012 (2011). MSC: 65M99 35R11 26A33 45K05 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{K. Sayevand}, Comput. Math. Appl. 62, No. 3, 1003--1012 (2011; Zbl 1228.65200) Full Text: DOI
Biazar, Jafar; Eslami, Mostafa A new homotopy perturbation method for solving systems of partial differential equations. (English) Zbl 1228.65199 Comput. Math. Appl. 62, No. 1, 225-234 (2011). MSC: 65M99 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{M. Eslami}, Comput. Math. Appl. 62, No. 1, 225--234 (2011; Zbl 1228.65199) Full Text: DOI
Li, X. Y.; Wu, B. Y. A novel method for nonlinear singular fourth order four-point boundary value problems. (English) Zbl 1228.65134 Comput. Math. Appl. 62, No. 1, 27-31 (2011). MSC: 65L99 PDFBibTeX XMLCite \textit{X. Y. Li} and \textit{B. Y. Wu}, Comput. Math. Appl. 62, No. 1, 27--31 (2011; Zbl 1228.65134) Full Text: DOI
Khan, Yasir; Wu, Qingbiao; Faraz, Naeem; Yildirim, Ahmet The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet. (English) Zbl 1222.76014 Comput. Math. Appl. 61, No. 11, 3391-3399 (2011). MSC: 76A20 65L99 PDFBibTeX XMLCite \textit{Y. Khan} et al., Comput. Math. Appl. 61, No. 11, 3391--3399 (2011; Zbl 1222.76014) Full Text: DOI
Lei, J.; Liu, S.; Guo, H. H.; Li, Z. H.; Li, J. T.; Han, Z. X. An image reconstruction algorithm based on the semiparametric model for electrical capacitance tomography. (English) Zbl 1221.65066 Comput. Math. Appl. 61, No. 9, 2843-2853 (2011). MSC: 65D18 68U10 94A08 PDFBibTeX XMLCite \textit{J. Lei} et al., Comput. Math. Appl. 61, No. 9, 2843--2853 (2011; Zbl 1221.65066) Full Text: DOI
Gupta, Praveen Kumar Approximate analytical solutions of fractional benney-lin equation by reduced differential transform method and the homotopy perturbation method. (English) Zbl 1221.65276 Comput. Math. Appl. 61, No. 9, 2829-2842 (2011). MSC: 65M99 26A33 35Q53 35R11 45K05 76B15 PDFBibTeX XMLCite \textit{P. K. Gupta}, Comput. Math. Appl. 61, No. 9, 2829--2842 (2011; Zbl 1221.65276) Full Text: DOI
Molabahrami, A.; Shidfar, A.; Ghyasi, A. An analytical method for solving linear Fredholm fuzzy integral equations of the second kind. (English) Zbl 1221.45001 Comput. Math. Appl. 61, No. 9, 2754-2761 (2011). MSC: 45B05 26E50 PDFBibTeX XMLCite \textit{A. Molabahrami} et al., Comput. Math. Appl. 61, No. 9, 2754--2761 (2011; Zbl 1221.45001) Full Text: DOI
Khan, Najeeb Alam; Ara, Asmat; Jamil, Muhammad An efficient approach for solving the Riccati equation with fractional orders. (English) Zbl 1221.65205 Comput. Math. Appl. 61, No. 9, 2683-2689 (2011). MSC: 65L99 34A08 34A45 34E10 45J05 PDFBibTeX XMLCite \textit{N. A. Khan} et al., Comput. Math. Appl. 61, No. 9, 2683--2689 (2011; Zbl 1221.65205) Full Text: DOI
Nawaz, Yasir Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations. (English) Zbl 1219.65081 Comput. Math. Appl. 61, No. 8, 2330-2341 (2011). MSC: 65L99 34A08 34K25 34K37 45J05 PDFBibTeX XMLCite \textit{Y. Nawaz}, Comput. Math. Appl. 61, No. 8, 2330--2341 (2011; Zbl 1219.65081) Full Text: DOI
Jalaal, M.; Nejad, M. G.; Jalili, P.; Esmaeilpour, M.; Bararnia, H.; Ghasemi, E.; Soleimani, Soheil; Ganji, D. D.; Moghimi, S. M. Homotopy perturbation method for motion of a spherical solid particle in plane Couette fluid flow. (English) Zbl 1219.76036 Comput. Math. Appl. 61, No. 8, 2267-2270 (2011). MSC: 76M25 76T99 PDFBibTeX XMLCite \textit{M. Jalaal} et al., Comput. Math. Appl. 61, No. 8, 2267--2270 (2011; Zbl 1219.76036) Full Text: DOI
Feng, Xinlong; He, Yinnian Modified homotopy perturbation method for solving the Stokes equations. (English) Zbl 1219.76034 Comput. Math. Appl. 61, No. 8, 2262-2266 (2011). MSC: 76M25 76M10 65N99 35Q35 76D07 PDFBibTeX XMLCite \textit{X. Feng} and \textit{Y. He}, Comput. Math. Appl. 61, No. 8, 2262--2266 (2011; Zbl 1219.76034) Full Text: DOI
Golbabai, A.; Sayevand, K. Fractional calculus – a new approach to the analysis of generalized fourth-order diffusion-wave equations. (English) Zbl 1219.65117 Comput. Math. Appl. 61, No. 8, 2227-2231 (2011). MSC: 65M99 35R11 26A33 45K05 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{K. Sayevand}, Comput. Math. Appl. 61, No. 8, 2227--2231 (2011; Zbl 1219.65117) Full Text: DOI
Khan, Najeeb Alam; Khan, Nasir-Uddin; Ayaz, Muhammad; Mahmood, Amir Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation. (English) Zbl 1219.65144 Comput. Math. Appl. 61, No. 8, 2182-2185 (2011). MSC: 65N99 35R11 35K35 76A10 PDFBibTeX XMLCite \textit{N. A. Khan} et al., Comput. Math. Appl. 61, No. 8, 2182--2185 (2011; Zbl 1219.65144) Full Text: DOI
Cao, Li; Han, Bo Convergence analysis of the homotopy perturbation method for solving nonlinear ill-posed operator equations. (English) Zbl 1219.65167 Comput. Math. Appl. 61, No. 8, 2058-2061 (2011). MSC: 65R30 47J06 47J25 PDFBibTeX XMLCite \textit{L. Cao} and \textit{B. Han}, Comput. Math. Appl. 61, No. 8, 2058--2061 (2011; Zbl 1219.65167) Full Text: DOI
Marinca, V.; Herişanu, N. Nonlinear dynamic analysis of an electrical machine rotor-bearing system by the optimal homotopy perturbation method. (English) Zbl 1219.65080 Comput. Math. Appl. 61, No. 8, 2019-2024 (2011). MSC: 65L99 34E05 PDFBibTeX XMLCite \textit{V. Marinca} and \textit{N. Herişanu}, Comput. Math. Appl. 61, No. 8, 2019--2024 (2011; Zbl 1219.65080) Full Text: DOI
Li, X. Y.; Wu, B. Y. Periodic boundary value problems for neutral multi-pantograph equations. (English) Zbl 1219.65079 Comput. Math. Appl. 61, No. 8, 1983-1986 (2011). MSC: 65L99 34E05 PDFBibTeX XMLCite \textit{X. Y. Li} and \textit{B. Y. Wu}, Comput. Math. Appl. 61, No. 8, 1983--1986 (2011; Zbl 1219.65079) Full Text: DOI
Khan, Yasir; Wu, Qingbiao Homotopy perturbation transform method for nonlinear equations using He’s polynomials. (English) Zbl 1219.65119 Comput. Math. Appl. 61, No. 8, 1963-1967 (2011). MSC: 65M99 35F25 35L60 PDFBibTeX XMLCite \textit{Y. Khan} and \textit{Q. Wu}, Comput. Math. Appl. 61, No. 8, 1963--1967 (2011; Zbl 1219.65119) Full Text: DOI
Khani, F.; Darvishi, M. T.; Gorla, Rama Subba Reddy Analytical investigation for cooling turbine disks with a non-Newtonian viscoelastic fluid. (English) Zbl 1219.76037 Comput. Math. Appl. 61, No. 7, 1728-1738 (2011). MSC: 76M25 76A10 65L99 PDFBibTeX XMLCite \textit{F. Khani} et al., Comput. Math. Appl. 61, No. 7, 1728--1738 (2011; Zbl 1219.76037) Full Text: DOI
Raftari, Behrouz; Yildirim, Ahmet Series solution of a nonlinear ODE arising in magnetohydrodynamic by HPM-Padé technique. (English) Zbl 1217.76055 Comput. Math. Appl. 61, No. 6, 1676-1681 (2011). MSC: 76M25 76W05 65L99 PDFBibTeX XMLCite \textit{B. Raftari} and \textit{A. Yildirim}, Comput. Math. Appl. 61, No. 6, 1676--1681 (2011; Zbl 1217.76055) Full Text: DOI
Pan, Victor Y.; Zheng, Ai-Long New progress in real and complex polynomial root-finding. (English) Zbl 1217.65087 Comput. Math. Appl. 61, No. 5, 1305-1334 (2011). MSC: 65H04 PDFBibTeX XMLCite \textit{V. Y. Pan} and \textit{A.-L. Zheng}, Comput. Math. Appl. 61, No. 5, 1305--1334 (2011; Zbl 1217.65087) Full Text: DOI
Ugurlu, Yavuz; Kaya, Dogan; Inan, Ibrahim E. Comparison of three semi-analytical methods for solving \((1+1)\)-dimensional dispersive long wave equations. (English) Zbl 1217.65197 Comput. Math. Appl. 61, No. 5, 1278-1290 (2011). MSC: 65M99 PDFBibTeX XMLCite \textit{Y. Ugurlu} et al., Comput. Math. Appl. 61, No. 5, 1278--1290 (2011; Zbl 1217.65197) Full Text: DOI
Biazar, Jafar; Ghanbari, Behzad; Porshokouhi, Mehdi Gholami; Porshokouhi, Mohammad Gholami He’s homotopy perturbation method: a strongly promising method for solving non-linear systems of the mixed Volterra-Fredholm integral equations. (English) Zbl 1217.65237 Comput. Math. Appl. 61, No. 4, 1016-1023 (2011). MSC: 65R20 PDFBibTeX XMLCite \textit{J. Biazar} et al., Comput. Math. Appl. 61, No. 4, 1016--1023 (2011; Zbl 1217.65237) Full Text: DOI
Gupta, Praveen Kumar; Singh, Mithilesh Homotopy perturbation method for fractional Fornberg-Whitham equation. (English) Zbl 1211.65138 Comput. Math. Appl. 61, No. 2, 250-254 (2011). MSC: 65M99 35Q53 35R11 PDFBibTeX XMLCite \textit{P. K. Gupta} and \textit{M. Singh}, Comput. Math. Appl. 61, No. 2, 250--254 (2011; Zbl 1211.65138) Full Text: DOI
Turkyilmazoglu, M. Series solution of nonlinear two-point singularly perturbed boundary layer problems. (English) Zbl 1205.76206 Comput. Math. Appl. 60, No. 7, 2109-2114 (2010). MSC: 76M25 65L99 76D10 PDFBibTeX XMLCite \textit{M. Turkyilmazoglu}, Comput. Math. Appl. 60, No. 7, 2109--2114 (2010; Zbl 1205.76206) Full Text: DOI Link
Herişanu, N.; Marinca, V. Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method. (English) Zbl 1202.34072 Comput. Math. Appl. 60, No. 6, 1607-1615 (2010). MSC: 34C15 34A45 65L99 PDFBibTeX XMLCite \textit{N. Herişanu} and \textit{V. Marinca}, Comput. Math. Appl. 60, No. 6, 1607--1615 (2010; Zbl 1202.34072) Full Text: DOI
Shidfar, A.; Babaei, A.; Molabahrami, A. Solving the inverse problem of identifying an unknown source term in a parabolic equation. (English) Zbl 1201.65175 Comput. Math. Appl. 60, No. 5, 1209-1213 (2010). MSC: 65M32 35R30 PDFBibTeX XMLCite \textit{A. Shidfar} et al., Comput. Math. Appl. 60, No. 5, 1209--1213 (2010; Zbl 1201.65175) Full Text: DOI
Ağırseven, Deniz; Öziş, Turgut An analytical study for Fisher type equations by using homotopy perturbation method. (English) Zbl 1201.65187 Comput. Math. Appl. 60, No. 3, 602-609 (2010). MSC: 65M99 PDFBibTeX XMLCite \textit{D. Ağırseven} and \textit{T. Öziş}, Comput. Math. Appl. 60, No. 3, 602--609 (2010; Zbl 1201.65187) Full Text: DOI
Xu, M.-R.; Xu, S.-P.; Guo, H.-Y. Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method. (English) Zbl 1201.76199 Comput. Math. Appl. 60, No. 3, 520-527 (2010). MSC: 76M25 65L99 PDFBibTeX XMLCite \textit{M. R. Xu} et al., Comput. Math. Appl. 60, No. 3, 520--527 (2010; Zbl 1201.76199) Full Text: DOI
Raftari, Behrouz; Yildirim, Ahmet The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets. (English) Zbl 1198.65148 Comput. Math. Appl. 59, No. 10, 3328-3337 (2010). MSC: 65L99 76M25 76W05 PDFBibTeX XMLCite \textit{B. Raftari} and \textit{A. Yildirim}, Comput. Math. Appl. 59, No. 10, 3328--3337 (2010; Zbl 1198.65148) Full Text: DOI
Idrees, M.; Islam, S.; Haq, Sirajul; Siraj-ul-Islam Application of the optimal homotopy asymptotic method to squeezing flow. (English) Zbl 1198.76095 Comput. Math. Appl. 59, No. 12, 3858-3866 (2010); correction ibibd. 60, No. 9, 2724 (2010). MSC: 76M25 65L99 PDFBibTeX XMLCite \textit{M. Idrees} et al., Comput. Math. Appl. 59, No. 12, 3858--3866 (2010; Zbl 1198.76095) Full Text: DOI
Esmaeilpour, M.; Ganji, D. D. Solution of the Jeffery-Hamel flow problem by optimal homotopy asymptotic method. (English) Zbl 1197.76043 Comput. Math. Appl. 59, No. 11, 3405-3411 (2010). MSC: 76D99 76M25 65L99 PDFBibTeX XMLCite \textit{M. Esmaeilpour} and \textit{D. D. Ganji}, Comput. Math. Appl. 59, No. 11, 3405--3411 (2010; Zbl 1197.76043) Full Text: DOI
Abidi, Fayçal; Omrani, Khaled The homotopy analysis method for solving the fornberg-whitham equation and comparison with Adomian’s decomposition method. (English) Zbl 1193.65179 Comput. Math. Appl. 59, No. 8, 2743-2750 (2010). MSC: 65M99 PDFBibTeX XMLCite \textit{F. Abidi} and \textit{K. Omrani}, Comput. Math. Appl. 59, No. 8, 2743--2750 (2010; Zbl 1193.65179) Full Text: DOI
Rafiq, Arif; Malik, Muhammad Yousaf; Abbasi, Tariq Solution of nonlinear pull-in behavior in electrostatic micro-actuators by using He’s homotopy perturbation method. (English) Zbl 1193.65183 Comput. Math. Appl. 59, No. 8, 2723-2733 (2010). MSC: 65M99 74M05 PDFBibTeX XMLCite \textit{A. Rafiq} et al., Comput. Math. Appl. 59, No. 8, 2723--2733 (2010; Zbl 1193.65183) Full Text: DOI
Liang, Songxin; Jeffrey, David J. Approximate solutions to a parameterized sixth order boundary value problem. (English) Zbl 1189.65147 Comput. Math. Appl. 59, No. 1, 247-253 (2010). MSC: 65L10 PDFBibTeX XMLCite \textit{S. Liang} and \textit{D. J. Jeffrey}, Comput. Math. Appl. 59, No. 1, 247--253 (2010; Zbl 1189.65147) Full Text: DOI
Pamuk, Serdal; Pamuk, Nevin He’s homotopy perturbation method for continuous population models for single and interacting species. (English) Zbl 1189.65171 Comput. Math. Appl. 59, No. 2, 612-621 (2010). MSC: 65L99 92D25 34A45 PDFBibTeX XMLCite \textit{S. Pamuk} and \textit{N. Pamuk}, Comput. Math. Appl. 59, No. 2, 612--621 (2010; Zbl 1189.65171) Full Text: DOI
Jafari, H.; Golbabai, A.; Seifi, S.; Sayevand, K. Homotopy analysis method for solving multi-term linear and nonlinear diffusion-wave equations of fractional order. (English) Zbl 1189.65250 Comput. Math. Appl. 59, No. 3, 1337-1344 (2010). MSC: 65M99 26A33 35R11 45K05 PDFBibTeX XMLCite \textit{H. Jafari} et al., Comput. Math. Appl. 59, No. 3, 1337--1344 (2010; Zbl 1189.65250) Full Text: DOI
Zurigat, Mohammad; Momani, Shaher; Alawneh, Ahmad Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method. (English) Zbl 1189.65187 Comput. Math. Appl. 59, No. 3, 1227-1235 (2010). MSC: 65L99 26A33 34A08 34A09 34A45 PDFBibTeX XMLCite \textit{M. Zurigat} et al., Comput. Math. Appl. 59, No. 3, 1227--1235 (2010; Zbl 1189.65187) Full Text: DOI
Shidfar, A.; Molabahrami, A.; Babaei, A.; Yazdanian, A. A series solution of the Cauchy problem for the generalized \(d\)-dimensional Schrödinger equation with a power-law nonlinearity. (English) Zbl 1189.65256 Comput. Math. Appl. 59, No. 4, 1500-1508 (2010). MSC: 65M99 35Q55 PDFBibTeX XMLCite \textit{A. Shidfar} et al., Comput. Math. Appl. 59, No. 4, 1500--1508 (2010; Zbl 1189.65256) Full Text: DOI
Ali, Javed; Islam, S.; Islam, Sirajul; Zaman, Gul The solution of multipoint boundary value problems by the optimal homotopy asymptotic method. (English) Zbl 1189.65154 Comput. Math. Appl. 59, No. 6, 2000-2006 (2010). MSC: 65L99 34A45 34B10 PDFBibTeX XMLCite \textit{J. Ali} et al., Comput. Math. Appl. 59, No. 6, 2000--2006 (2010; Zbl 1189.65154) Full Text: DOI
Darvishi, M. T.; Khani, F. A series solution of the foam drainage equation. (English) Zbl 1189.65247 Comput. Math. Appl. 58, No. 2, 360-368 (2009). MSC: 65M99 35J60 35C10 PDFBibTeX XMLCite \textit{M. T. Darvishi} and \textit{F. Khani}, Comput. Math. Appl. 58, No. 2, 360--368 (2009; Zbl 1189.65247) Full Text: DOI
Rafiq, Arif; Rafiullah, Muhammad Some multi-step iterative methods for solving nonlinear equations. (English) Zbl 1189.65094 Comput. Math. Appl. 58, No. 8, 1589-1597 (2009). MSC: 65H05 PDFBibTeX XMLCite \textit{A. Rafiq} and \textit{M. Rafiullah}, Comput. Math. Appl. 58, No. 8, 1589--1597 (2009; Zbl 1189.65094) Full Text: DOI
Ariel, P. Donald The homotopy perturbation method and analytical solution of the problem of flow past a rotating disk. (English) Zbl 1189.65157 Comput. Math. Appl. 58, No. 11-12, 2504-2513 (2009). MSC: 65L99 76D05 35Q35 PDFBibTeX XMLCite \textit{P. D. Ariel}, Comput. Math. Appl. 58, No. 11--12, 2504--2513 (2009; Zbl 1189.65157) Full Text: DOI
Shou, Da-Hua The homotopy perturbation method for nonlinear oscillators. (English) Zbl 1189.65176 Comput. Math. Appl. 58, No. 11-12, 2456-2459 (2009). MSC: 65L99 34C15 34A45 PDFBibTeX XMLCite \textit{D.-H. Shou}, Comput. Math. Appl. 58, No. 11--12, 2456--2459 (2009; Zbl 1189.65176) Full Text: DOI
Ma, Zheng-Yi Approximate soliton solutions for a \((2+1)\)-dimensional Broer-Kaup system by He’s methods. (English) Zbl 1189.65253 Comput. Math. Appl. 58, No. 11-12, 2410-2415 (2009). MSC: 65M99 35Q53 35C08 PDFBibTeX XMLCite \textit{Z.-Y. Ma}, Comput. Math. Appl. 58, No. 11--12, 2410--2415 (2009; Zbl 1189.65253) Full Text: DOI
Ariel, P. Donald Extended homotopy perturbation method and computation of flow past a stretching sheet. (English) Zbl 1189.65156 Comput. Math. Appl. 58, No. 11-12, 2402-2409 (2009). MSC: 65L99 76B10 PDFBibTeX XMLCite \textit{P. D. Ariel}, Comput. Math. Appl. 58, No. 11--12, 2402--2409 (2009; Zbl 1189.65156) Full Text: DOI
Zhu, Shun-Dong; Chu, Yu-Ming; Qiu, Song-Liang The homotopy perturbation method for discontinued problems arising in nanotechnology. (English) Zbl 1189.65186 Comput. Math. Appl. 58, No. 11-12, 2398-2401 (2009). MSC: 65L99 82D80 35Q74 PDFBibTeX XMLCite \textit{S.-D. Zhu} et al., Comput. Math. Appl. 58, No. 11--12, 2398--2401 (2009; Zbl 1189.65186) Full Text: DOI
Biazar, J.; Badpeima, F.; Azimi, F. Application of the homotopy perturbation method to Zakharov-Kuznetsov equations. (English) Zbl 1189.65244 Comput. Math. Appl. 58, No. 11-12, 2391-2394 (2009). MSC: 65M99 PDFBibTeX XMLCite \textit{J. Biazar} et al., Comput. Math. Appl. 58, No. 11--12, 2391--2394 (2009; Zbl 1189.65244) Full Text: DOI
Saberi-Nadjafi, Jafar; Ghorbani, Asghar He’s homotopy perturbation method: an effective tool for solving nonlinear integral and integro-differential equations. (English) Zbl 1189.65173 Comput. Math. Appl. 58, No. 11-12, 2379-2390 (2009). MSC: 65L99 45J05 PDFBibTeX XMLCite \textit{J. Saberi-Nadjafi} and \textit{A. Ghorbani}, Comput. Math. Appl. 58, No. 11--12, 2379--2390 (2009; Zbl 1189.65173) Full Text: DOI
Lu, Junfeng An analytical approach to the sine-Gordon equation using the modified homotopy perturbation method. (English) Zbl 1189.35182 Comput. Math. Appl. 58, No. 11-12, 2313-2319 (2009). MSC: 35L71 35B32 PDFBibTeX XMLCite \textit{J. Lu}, Comput. Math. Appl. 58, No. 11--12, 2313--2319 (2009; Zbl 1189.35182) Full Text: DOI
Siddiqui, A. M.; Haroon, T.; Irum, S. Torsional flow of third grade fluid using modified homotopy perturbation method. (English) Zbl 1189.65177 Comput. Math. Appl. 58, No. 11-12, 2274-2285 (2009). MSC: 65L99 76A05 PDFBibTeX XMLCite \textit{A. M. Siddiqui} et al., Comput. Math. Appl. 58, No. 11--12, 2274--2285 (2009; Zbl 1189.65177) Full Text: DOI
Beléndez, Augusto Homotopy perturbation method for a conservative \(x^{1/3}\) force nonlinear oscillator. (English) Zbl 1189.65160 Comput. Math. Appl. 58, No. 11-12, 2267-2273 (2009). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{A. Beléndez}, Comput. Math. Appl. 58, No. 11--12, 2267--2273 (2009; Zbl 1189.65160) Full Text: DOI
El-Tawil, M. A.; Al-Johani, Amna S. Approximate solution of a mixed nonlinear stochastic oscillator. (English) Zbl 1189.65017 Comput. Math. Appl. 58, No. 11-12, 2236-2259 (2009). MSC: 65C30 60H10 PDFBibTeX XMLCite \textit{M. A. El-Tawil} and \textit{A. S. Al-Johani}, Comput. Math. Appl. 58, No. 11--12, 2236--2259 (2009; Zbl 1189.65017) Full Text: DOI
Yusufoğlu, Elçin An improvement to homotopy perturbation method for solving system of linear equations. (English) Zbl 1189.65087 Comput. Math. Appl. 58, No. 11-12, 2231-2235 (2009). MSC: 65F99 15A06 PDFBibTeX XMLCite \textit{E. Yusufoğlu}, Comput. Math. Appl. 58, No. 11--12, 2231--2235 (2009; Zbl 1189.65087) Full Text: DOI
Biazar, Jafar; Aminikhah, Hossein Study of convergence of homotopy perturbation method for systems of partial differential equations. (English) Zbl 1189.65246 Comput. Math. Appl. 58, No. 11-12, 2221-2230 (2009). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{H. Aminikhah}, Comput. Math. Appl. 58, No. 11--12, 2221--2230 (2009; Zbl 1189.65246) Full Text: DOI
Momani, Shaher; Erjaee, G. H.; Alnasr, M. H. The modified homotopy perturbation method for solving strongly nonlinear oscillators. (English) Zbl 1189.65168 Comput. Math. Appl. 58, No. 11-12, 2209-2220 (2009). MSC: 65L99 PDFBibTeX XMLCite \textit{S. Momani} et al., Comput. Math. Appl. 58, No. 11--12, 2209--2220 (2009; Zbl 1189.65168) Full Text: DOI Link
Sweilam, N. H.; Khader, M. M. Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method. (English) Zbl 1189.65259 Comput. Math. Appl. 58, No. 11-12, 2134-2141 (2009). MSC: 65M99 PDFBibTeX XMLCite \textit{N. H. Sweilam} and \textit{M. M. Khader}, Comput. Math. Appl. 58, No. 11--12, 2134--2141 (2009; Zbl 1189.65259) Full Text: DOI
Ganji, Z. Z.; Ganji, D. D.; Esmaeilpour, M. Study on nonlinear Jeffery-Hamel flow by He’s semi-analytical methods and comparison with numerical results. (English) Zbl 1189.65298 Comput. Math. Appl. 58, No. 11-12, 2107-2116 (2009). MSC: 65N99 35Q35 PDFBibTeX XMLCite \textit{Z. Z. Ganji} et al., Comput. Math. Appl. 58, No. 11--12, 2107--2116 (2009; Zbl 1189.65298) Full Text: DOI
Bahuguna, D.; Ujlayan, A.; Pandey, D. N. A comparative study of numerical methods for solving an integro-differential equation. (English) Zbl 1186.65158 Comput. Math. Appl. 57, No. 9, 1485-1493 (2009). MSC: 65R20 65T60 PDFBibTeX XMLCite \textit{D. Bahuguna} et al., Comput. Math. Appl. 57, No. 9, 1485--1493 (2009; Zbl 1186.65158) Full Text: DOI
Chun, Changbum; Jafari, Hossein; Kim, Yong-Il Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method. (English) Zbl 1186.65138 Comput. Math. Appl. 57, No. 7, 1226-1231 (2009). MSC: 65M99 PDFBibTeX XMLCite \textit{C. Chun} et al., Comput. Math. Appl. 57, No. 7, 1226--1231 (2009; Zbl 1186.65138) Full Text: DOI
Pirbodaghi, T.; Hoseini, S. H.; Ahmadian, M. T.; Farrahi, G. H. Duffing equations with cubic and quintic nonlinearities. (English) Zbl 1165.34310 Comput. Math. Appl. 57, No. 3, 500-506 (2009). MSC: 34A45 PDFBibTeX XMLCite \textit{T. Pirbodaghi} et al., Comput. Math. Appl. 57, No. 3, 500--506 (2009; Zbl 1165.34310) Full Text: DOI
He, Ji-Huan An elementary introduction to the homotopy perturbation method. (English) Zbl 1165.65374 Comput. Math. Appl. 57, No. 3, 410-412 (2009). MSC: 65L99 65-01 PDFBibTeX XMLCite \textit{J.-H. He}, Comput. Math. Appl. 57, No. 3, 410--412 (2009; Zbl 1165.65374) Full Text: DOI
El-Mistikawy, Tarek M. A. Comment on: “The three-dimensional flow past a stretching sheet and the homotopy perturbation method”, by P.D. Ariel, Computers and Mathematics with Applications 54 (2007) 920-925. (English) Zbl 1165.76320 Comput. Math. Appl. 57, No. 3, 404-406 (2009). MSC: 76D05 76M45 76M55 PDFBibTeX XMLCite \textit{T. M. A. El-Mistikawy}, Comput. Math. Appl. 57, No. 3, 404--406 (2009; Zbl 1165.76320) Full Text: DOI
Pandey, Rajesh K.; Singh, Om P.; Singh, Vineet K. Efficient algorithms to solve singular integral equations of Abel type. (English) Zbl 1165.45303 Comput. Math. Appl. 57, No. 4, 664-676 (2009). MSC: 45E05 45D05 PDFBibTeX XMLCite \textit{R. K. Pandey} et al., Comput. Math. Appl. 57, No. 4, 664--676 (2009; Zbl 1165.45303) Full Text: DOI
Yıldırım, Ahmet Application of he’s homotopy perturbation method for solving the Cauchy reaction-diffusion problem. (English) Zbl 1165.65398 Comput. Math. Appl. 57, No. 4, 612-618 (2009). MSC: 65M99 PDFBibTeX XMLCite \textit{A. Yıldırım}, Comput. Math. Appl. 57, No. 4, 612--618 (2009; Zbl 1165.65398) Full Text: DOI
Zou, L.; Zong, Z.; Dong, G. H. Generalizing homotopy analysis method to solve Lotka-Volterra equation. (English) Zbl 1165.34305 Comput. Math. Appl. 56, No. 9, 2289-2293 (2008). MSC: 34A25 65L99 PDFBibTeX XMLCite \textit{L. Zou} et al., Comput. Math. Appl. 56, No. 9, 2289--2293 (2008; Zbl 1165.34305) Full Text: DOI
Yıldırım, Ahmet Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method. (English) Zbl 1165.65377 Comput. Math. Appl. 56, No. 12, 3175-3180 (2008). MSC: 65L99 45J05 PDFBibTeX XMLCite \textit{A. Yıldırım}, Comput. Math. Appl. 56, No. 12, 3175--3180 (2008; Zbl 1165.65377) Full Text: DOI
Hosseinnia, S. H.; Ranjbar, A.; Momani, S. Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part. (English) Zbl 1165.65375 Comput. Math. Appl. 56, No. 12, 3138-3149 (2008). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{S. H. Hosseinnia} et al., Comput. Math. Appl. 56, No. 12, 3138--3149 (2008; Zbl 1165.65375) Full Text: DOI
Ugurlu, Yavuz; Kaya, Doğan Solutions of the Cahn-Hilliard equation. (English) Zbl 1165.35451 Comput. Math. Appl. 56, No. 12, 3038-3045 (2008). MSC: 35Q53 35Q51 65M99 PDFBibTeX XMLCite \textit{Y. Ugurlu} and \textit{D. Kaya}, Comput. Math. Appl. 56, No. 12, 3038--3045 (2008; Zbl 1165.35451) Full Text: DOI
Öziş, Turgut; Yıldırım, Ahmet Comparison between Adomian’s method and He’s homotopy perturbation method. (English) Zbl 1155.65344 Comput. Math. Appl. 56, No. 5, 1216-1224 (2008). MSC: 65J15 PDFBibTeX XMLCite \textit{T. Öziş} and \textit{A. Yıldırım}, Comput. Math. Appl. 56, No. 5, 1216--1224 (2008; Zbl 1155.65344) Full Text: DOI
Ghorbani, Asghar; Saberi-Nadjafi, Jafar Exact solutions for nonlinear integral equations by a modified homotopy perturbation method. (English) Zbl 1155.45300 Comput. Math. Appl. 56, No. 4, 1032-1039 (2008). MSC: 45G10 PDFBibTeX XMLCite \textit{A. Ghorbani} and \textit{J. Saberi-Nadjafi}, Comput. Math. Appl. 56, No. 4, 1032--1039 (2008; Zbl 1155.45300) Full Text: DOI
Biazar, J.; Ghazvini, H. Homotopy perturbation method for solving hyperbolic partial differential equations. (English) Zbl 1155.65395 Comput. Math. Appl. 56, No. 2, 453-458 (2008). MSC: 65N99 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{H. Ghazvini}, Comput. Math. Appl. 56, No. 2, 453--458 (2008; Zbl 1155.65395) Full Text: DOI
Noor, Muhammad Aslam; Mohyud-Din, Syed Tauseef Homotopy perturbation method for solving sixth-order boundary value problems. (English) Zbl 1142.65386 Comput. Math. Appl. 55, No. 12, 2953-2972 (2008). MSC: 65L10 PDFBibTeX XMLCite \textit{M. A. Noor} and \textit{S. T. Mohyud-Din}, Comput. Math. Appl. 55, No. 12, 2953--2972 (2008; Zbl 1142.65386) Full Text: DOI
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I. Approximate analytical solutions of systems of PDEs by homotopy analysis method. (English) Zbl 1142.65423 Comput. Math. Appl. 55, No. 12, 2913-2923 (2008). MSC: 65M99 PDFBibTeX XMLCite \textit{A. S. Bataineh} et al., Comput. Math. Appl. 55, No. 12, 2913--2923 (2008; Zbl 1142.65423) Full Text: DOI
Ariel, P. Donald Axisymmetric flow due to a stretching sheet with partial slip. (English) Zbl 1138.76030 Comput. Math. Appl. 54, No. 7-8, 1169-1183 (2007). MSC: 76D05 76M45 76M55 PDFBibTeX XMLCite \textit{P. D. Ariel}, Comput. Math. Appl. 54, No. 7--8, 1169--1183 (2007; Zbl 1138.76030) Full Text: DOI
Kajani, M. Tavassoli; Ghasemi, M.; Babolian, E. Comparison between the homotopy perturbation method and the sine-cosine wavelet method for solving linear integro-differential equations. (English) Zbl 1141.65397 Comput. Math. Appl. 54, No. 7-8, 1162-1168 (2007). MSC: 65R20 45J05 65T60 PDFBibTeX XMLCite \textit{M. T. Kajani} et al., Comput. Math. Appl. 54, No. 7--8, 1162--1168 (2007; Zbl 1141.65397) Full Text: DOI
Ganji, D. D.; Nourollahi, M.; Mohseni, E. Application of He’s methods to nonlinear chemistry problems. (English) Zbl 1267.65100 Comput. Math. Appl. 54, No. 7-8, 1122-1132 (2007). MSC: 65L99 92E99 PDFBibTeX XMLCite \textit{D. D. Ganji} et al., Comput. Math. Appl. 54, No. 7--8, 1122--1132 (2007; Zbl 1267.65100) Full Text: DOI
Sadighi, A.; Ganji, D. D. Exact solutions of nonlinear diffusion equations by variational iteration method. (English) Zbl 1145.35311 Comput. Math. Appl. 54, No. 7-8, 1112-1121 (2007). MSC: 35A25 35K57 35C05 35K55 PDFBibTeX XMLCite \textit{A. Sadighi} and \textit{D. D. Ganji}, Comput. Math. Appl. 54, No. 7--8, 1112--1121 (2007; Zbl 1145.35311) Full Text: DOI
Mei, Shu-Li; Zhang, Sen-Wen Coupling technique of variational iteration and homotopy perturbation methods for nonlinear matrix differential equations. (English) Zbl 1267.65102 Comput. Math. Appl. 54, No. 7-8, 1092-1100 (2007). MSC: 65L99 PDFBibTeX XMLCite \textit{S.-L. Mei} and \textit{S.-W. Zhang}, Comput. Math. Appl. 54, No. 7--8, 1092--1100 (2007; Zbl 1267.65102) Full Text: DOI
Xu, Lan He’s homotopy perturbation method for a boundary layer equation in unbounded domain. (English) Zbl 1267.76089 Comput. Math. Appl. 54, No. 7-8, 1067-1070 (2007). MSC: 76M25 76D10 PDFBibTeX XMLCite \textit{L. Xu}, Comput. Math. Appl. 54, No. 7--8, 1067--1070 (2007; Zbl 1267.76089) Full Text: DOI