Yu, Qiang A homotopy-based wavelet method for extreme large bending analysis of heterogeneous anisotropic plate with variable thickness on orthotropic foundation. (English) Zbl 07689979 Appl. Math. Comput. 439, Article ID 127641, 31 p. (2023). MSC: 74Kxx 74Sxx 74Gxx PDFBibTeX XMLCite \textit{Q. Yu}, Appl. Math. Comput. 439, Article ID 127641, 31 p. (2023; Zbl 07689979) Full Text: DOI
Yu, Qiang A decoupled wavelet approach for multiple physical flow fields of binary nanofluid in double-diffusive convection. (English) Zbl 1510.35251 Appl. Math. Comput. 404, Article ID 126232, 26 p. (2021). MSC: 35Q35 35Q70 PDFBibTeX XMLCite \textit{Q. Yu}, Appl. Math. Comput. 404, Article ID 126232, 26 p. (2021; Zbl 1510.35251) Full Text: DOI
Deep, Amar; Deepmala; Rabbani, Mohsen A numerical method for solvability of some non-linear functional integral equations. (English) Zbl 1490.65313 Appl. Math. Comput. 402, Article ID 125637, 12 p. (2021). MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{A. Deep} et al., Appl. Math. Comput. 402, Article ID 125637, 12 p. (2021; Zbl 1490.65313) Full Text: DOI
Hauenstein, Jonathan D.; Regan, Margaret H. Real monodromy action. (English) Zbl 1433.65094 Appl. Math. Comput. 373, Article ID 124983, 13 p. (2020). MSC: 65H10 65H20 14D05 14Q30 68W30 14Q65 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{M. H. Regan}, Appl. Math. Comput. 373, Article ID 124983, 13 p. (2020; Zbl 1433.65094) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020; Zbl 1433.35454) Full Text: DOI
Hazarika, Bipan; Srivastava, H. M.; Arab, Reza; Rabbani, Mohsen Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution. (English) Zbl 1428.45003 Appl. Math. Comput. 360, 131-146 (2019). MSC: 45G05 47H08 47H09 47H10 65R20 PDFBibTeX XMLCite \textit{B. Hazarika} et al., Appl. Math. Comput. 360, 131--146 (2019; Zbl 1428.45003) Full Text: DOI
Rabbani, Mohsen; Arab, Reza; Hazarika, Bipan Solvability of nonlinear quadratic integral equation by using simulation type condensing operator and measure of noncompactness. (English) Zbl 1428.45004 Appl. Math. Comput. 349, 102-117 (2019). MSC: 45G10 46B45 47H11 PDFBibTeX XMLCite \textit{M. Rabbani} et al., Appl. Math. Comput. 349, 102--117 (2019; Zbl 1428.45004) Full Text: DOI
Zhang, Ruigang; Yang, Liangui; Liu, Quansheng; Yin, Xiaojun Dynamics of nonlinear Rossby waves in zonally varying flow with spatial-temporal varying topography. (English) Zbl 1428.76224 Appl. Math. Comput. 346, 666-679 (2019). MSC: 76U65 35C08 76M99 35Q53 PDFBibTeX XMLCite \textit{R. Zhang} et al., Appl. Math. Comput. 346, 666--679 (2019; Zbl 1428.76224) Full Text: DOI
Dewasurendra, Mangalagama; Baxter, Mathew; Vajravelu, Kuppalapalle A method of directly defining the inverse mapping for solutions of non-linear coupled systems arising in convection heat transfer in a second grade fluid. (English) Zbl 1429.76031 Appl. Math. Comput. 339, 758-767 (2018). MSC: 76A05 35Q79 35R30 80A19 PDFBibTeX XMLCite \textit{M. Dewasurendra} et al., Appl. Math. Comput. 339, 758--767 (2018; Zbl 1429.76031) Full Text: DOI
Hauenstein, Jonathan D.; Regan, Margaret H. Adaptive strategies for solving parameterized systems using homotopy continuation. (English) Zbl 1427.65086 Appl. Math. Comput. 332, 19-34 (2018). MSC: 65H20 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{M. H. Regan}, Appl. Math. Comput. 332, 19--34 (2018; Zbl 1427.65086) Full Text: DOI arXiv
Kürkçü, Ömür Kıvanç; Aslan, Ersin; Sezer, Mehmet A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials. (English) Zbl 1410.65240 Appl. Math. Comput. 276, 324-339 (2016). MSC: 65L03 65L70 PDFBibTeX XMLCite \textit{Ö. K. Kürkçü} et al., Appl. Math. Comput. 276, 324--339 (2016; Zbl 1410.65240) Full Text: DOI
Liu, Tao Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation. (English) Zbl 1410.76432 Appl. Math. Comput. 275, 432-437 (2016). MSC: 76S05 76M25 65M32 PDFBibTeX XMLCite \textit{T. Liu}, Appl. Math. Comput. 275, 432--437 (2016; Zbl 1410.76432) Full Text: DOI
Wang, P.; Lu, D. Q. Nonlinear hydroelastic waves traveling in a thin elastic plate floating on a two-layer fluid. (English) Zbl 1410.74042 Appl. Math. Comput. 274, 700-710 (2016). MSC: 74K20 74F10 76B10 PDFBibTeX XMLCite \textit{P. Wang} and \textit{D. Q. Lu}, Appl. Math. Comput. 274, 700--710 (2016; Zbl 1410.74042) Full Text: DOI
Gupta, A. K.; Ray, S. Saha An investigation with Hermite wavelets for accurate solution of fractional Jaulent-Miodek equation associated with energy-dependent Schrödinger potential. (English) Zbl 1410.35275 Appl. Math. Comput. 270, 458-471 (2015). MSC: 35R11 42C40 PDFBibTeX XMLCite \textit{A. K. Gupta} and \textit{S. S. Ray}, Appl. Math. Comput. 270, 458--471 (2015; Zbl 1410.35275) Full Text: DOI
Ene, Remus-Daniel; Marinca, Vasile Approximate solutions for steady boundary layer MHD viscous flow and radiative heat transfer over an exponentially porous stretching sheet. (English) Zbl 1410.76472 Appl. Math. Comput. 269, 389-401 (2015). MSC: 76W05 76M25 76S05 PDFBibTeX XMLCite \textit{R.-D. Ene} and \textit{V. Marinca}, Appl. Math. Comput. 269, 389--401 (2015; Zbl 1410.76472) Full Text: DOI
Moosaei, H.; Ketabchi, S.; Noor, M. A.; Iqbal, J.; Hooshyarbakhsh, V. Some techniques for solving absolute value equations. (English) Zbl 1410.65192 Appl. Math. Comput. 268, 696-705 (2015). MSC: 65H10 15A06 90C33 PDFBibTeX XMLCite \textit{H. Moosaei} et al., Appl. Math. Comput. 268, 696--705 (2015; Zbl 1410.65192) Full Text: DOI
Ray, S. Saha; Gupta, A. K. A numerical investigation of time-fractional modified Fornberg-Whitham equation for analyzing the behavior of water waves. (English) Zbl 1410.76034 Appl. Math. Comput. 266, 135-148 (2015). MSC: 76B15 65M70 76M25 PDFBibTeX XMLCite \textit{S. S. Ray} and \textit{A. K. Gupta}, Appl. Math. Comput. 266, 135--148 (2015; Zbl 1410.76034) Full Text: DOI
Saha Ray, S.; Sahoo, S. A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods. (English) Zbl 1338.35480 Appl. Math. Comput. 253, 72-82 (2015). MSC: 35R11 35C05 35C10 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{S. Sahoo}, Appl. Math. Comput. 253, 72--82 (2015; Zbl 1338.35480) Full Text: DOI
Sardanyés, Josep; Rodrigues, Carla; Januário, Cristina; Martins, Nuno; Gil-Gómez, Gabriel; Duarte, Jorge Activation of effector immune cells promotes tumor stochastic extinction: a homotopy analysis approach. (English) Zbl 1338.92052 Appl. Math. Comput. 252, 484-495 (2015). MSC: 92C50 92-08 PDFBibTeX XMLCite \textit{J. Sardanyés} et al., Appl. Math. Comput. 252, 484--495 (2015; Zbl 1338.92052) Full Text: DOI arXiv
Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W. Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. (English) Zbl 1410.65205 Appl. Math. Comput. 231, 619-633 (2014). MSC: 65H20 14Q15 68W30 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Appl. Math. Comput. 231, 619--633 (2014; Zbl 1410.65205) Full Text: DOI
Marinca, Vasile; Herişanu, Nicolae The optimal homotopy asymptotic method for solving Blasius equation. (English) Zbl 1410.34058 Appl. Math. Comput. 231, 134-139 (2014). MSC: 34A45 34B10 65L10 PDFBibTeX XMLCite \textit{V. Marinca} and \textit{N. Herişanu}, Appl. Math. Comput. 231, 134--139 (2014; Zbl 1410.34058) Full Text: DOI
Fernández, Francisco M. On the homotopy perturbation method for Boussinesq-like equations. (English) Zbl 1410.35017 Appl. Math. Comput. 230, 208-210 (2014). MSC: 35C07 35Q53 35B10 65L05 PDFBibTeX XMLCite \textit{F. M. Fernández}, Appl. Math. Comput. 230, 208--210 (2014; Zbl 1410.35017) Full Text: DOI arXiv Link
Mallory, Kristina; Van Gorder, Robert A. Method for constructing analytical solutions to the Dym initial value problem. (English) Zbl 1354.35131 Appl. Math. Comput. 226, 67-82 (2014). MSC: 35Q53 35C10 35A25 PDFBibTeX XMLCite \textit{K. Mallory} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 226, 67--82 (2014; Zbl 1354.35131) Full Text: DOI
Khan, Yasir; Sayevand, K.; Fardi, M.; Ghasemi, M. A novel computing multi-parametric homotopy approach for system of linear and nonlinear Fredholm integral equations. (English) Zbl 1338.65285 Appl. Math. Comput. 249, 229-236 (2014). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{Y. Khan} et al., Appl. Math. Comput. 249, 229--236 (2014; Zbl 1338.65285) Full Text: DOI
Bates, Daniel J.; Davis, Brent; Eklund, David; Hanson, Eric; Peterson, Chris Perturbed homotopies for finding all isolated solutions of polynomial systems. (English) Zbl 1338.13046 Appl. Math. Comput. 247, 301-311 (2014). MSC: 13P15 65H10 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Appl. Math. Comput. 247, 301--311 (2014; Zbl 1338.13046) Full Text: DOI
Hayat, T.; Asad, Sadia; Mustafa, M.; Alsaedi, A. Boundary layer flow of Carreau fluid over a convectively heated stretching sheet. (English) Zbl 1338.76022 Appl. Math. Comput. 246, 12-22 (2014). MSC: 76D10 76R10 PDFBibTeX XMLCite \textit{T. Hayat} et al., Appl. Math. Comput. 246, 12--22 (2014; Zbl 1338.76022) Full Text: DOI
Abbasbandy, Saeid; Naz, Rahila; Hayat, Tasawar; Alsaedi, A. Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid. (English) Zbl 1334.76165 Appl. Math. Comput. 242, 569-575 (2014). MSC: 76W05 35Q35 76M25 65N99 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Appl. Math. Comput. 242, 569--575 (2014; Zbl 1334.76165) Full Text: DOI
Farooq, U.; Hayat, T.; Alsaedi, A.; Liao, Shijun Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel. (English) Zbl 1334.80004 Appl. Math. Comput. 242, 528-540 (2014). MSC: 80A20 76A05 82D80 PDFBibTeX XMLCite \textit{U. Farooq} et al., Appl. Math. Comput. 242, 528--540 (2014; Zbl 1334.80004) Full Text: DOI
Zhang, Zhi-Yong; Chaolu, Temuer Homotopy series solutions of perturbed PDEs via approximate symmetry method. (English) Zbl 1334.35002 Appl. Math. Comput. 225, 92-101 (2013). MSC: 35A30 35Q35 PDFBibTeX XMLCite \textit{Z.-Y. Zhang} and \textit{T. Chaolu}, Appl. Math. Comput. 225, 92--101 (2013; Zbl 1334.35002) Full Text: DOI arXiv
Huang, Qingqun; Zhu, Zhibin; Wang, Xiangling A predictor-corrector algorithm combined conjugate gradient with homotopy interior point for general nonlinear programming. (English) Zbl 1401.90220 Appl. Math. Comput. 219, No. 9, 4379-4386 (2013). MSC: 90C30 90C51 PDFBibTeX XMLCite \textit{Q. Huang} et al., Appl. Math. Comput. 219, No. 9, 4379--4386 (2013; Zbl 1401.90220) Full Text: DOI
Alomari, A. K.; Awawdeh, F.; Tahat, N.; Bani Ahmad, F.; Shatanawi, W. Multiple solutions for fractional differential equations: analytic approach. (English) Zbl 1291.65204 Appl. Math. Comput. 219, No. 17, 8893-8903 (2013). MSC: 65L05 34A08 34A34 PDFBibTeX XMLCite \textit{A. K. Alomari} et al., Appl. Math. Comput. 219, No. 17, 8893--8903 (2013; Zbl 1291.65204) Full Text: DOI
Vazquez-Leal, H.; Marin-Hernandez, A.; Khan, Y.; Yıldırım, A.; Filobello-Nino, U.; Castaneda-Sheissa, R.; Jimenez-Fernandez, V. M. Exploring collision-free path planning by using homotopy continuation methods. (English) Zbl 1366.70011 Appl. Math. Comput. 219, No. 14, 7514-7532 (2013). MSC: 70E60 PDFBibTeX XMLCite \textit{H. Vazquez-Leal} et al., Appl. Math. Comput. 219, No. 14, 7514--7532 (2013; Zbl 1366.70011) Full Text: DOI
Russo, Matthew; Van Gorder, Robert A. Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. (English) Zbl 1286.65139 Appl. Math. Comput. 219, No. 12, 6494-6509 (2013). MSC: 65M99 65M15 35Q40 PDFBibTeX XMLCite \textit{M. Russo} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 219, No. 12, 6494--6509 (2013; Zbl 1286.65139) Full Text: DOI
Hauenstein, Jonathan D.; Wampler, Charles W. Numerically intersecting algebraic varieties via witness sets. (English) Zbl 1295.14054 Appl. Math. Comput. 219, No. 10, 5730-5742 (2013). Reviewer: Guillermo Matera (Buenos Aires) MSC: 14Q99 65H10 65H20 14B05 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{C. W. Wampler}, Appl. Math. Comput. 219, No. 10, 5730--5742 (2013; Zbl 1295.14054) Full Text: DOI
Zhao, Yun-Bin; Fukushima, Masao Rank-one solutions for homogeneous linear matrix equations over the positive semidefinite cone. (English) Zbl 1293.15013 Appl. Math. Comput. 219, No. 10, 5569-5583 (2013). Reviewer: Edgar Pereira (Natal) MSC: 15A24 15B48 PDFBibTeX XMLCite \textit{Y.-B. Zhao} and \textit{M. Fukushima}, Appl. Math. Comput. 219, No. 10, 5569--5583 (2013; Zbl 1293.15013) Full Text: DOI arXiv
Guo, Shimin; Mei, Liquan; Li, Ying Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. (English) Zbl 1273.65157 Appl. Math. Comput. 219, No. 11, 5909-5917 (2013). MSC: 65M99 35R11 45K05 PDFBibTeX XMLCite \textit{S. Guo} et al., Appl. Math. Comput. 219, No. 11, 5909--5917 (2013; Zbl 1273.65157) Full Text: DOI
Vishal, K.; Das, S.; Ong, S. H.; Ghosh, P. On the solutions of fractional Swift Hohenberg equation with dispersion. (English) Zbl 1273.76335 Appl. Math. Comput. 219, No. 11, 5792-5801 (2013). MSC: 76M25 35R11 35Q35 PDFBibTeX XMLCite \textit{K. Vishal} et al., Appl. Math. Comput. 219, No. 11, 5792--5801 (2013; Zbl 1273.76335) Full Text: DOI
Noor, Muhammad Aslam; Khan, Waseem Asghar New iterative methods for solving nonlinear equation by using homotopy perturbation method. (English) Zbl 1311.65050 Appl. Math. Comput. 219, No. 8, 3565-3574 (2012). MSC: 65H05 PDFBibTeX XMLCite \textit{M. A. Noor} and \textit{W. A. Khan}, Appl. Math. Comput. 219, No. 8, 3565--3574 (2012; Zbl 1311.65050) Full Text: DOI
Bera, P. K.; Sil, Tapas Homotopy perturbation method in quantum mechanical problems. (English) Zbl 1309.81093 Appl. Math. Comput. 219, No. 6, 3272-3278 (2012). MSC: 81Q15 65L99 PDFBibTeX XMLCite \textit{P. K. Bera} and \textit{T. Sil}, Appl. Math. Comput. 219, No. 6, 3272--3278 (2012; Zbl 1309.81093) Full Text: DOI
Hassan, Hany N.; El-Tawil, Magdy A. A new technique of using homotopy analysis method for second order nonlinear differential equations. (English) Zbl 1302.65181 Appl. Math. Comput. 219, No. 2, 708-728 (2012). MSC: 65L99 PDFBibTeX XMLCite \textit{H. N. Hassan} and \textit{M. A. El-Tawil}, Appl. Math. Comput. 219, No. 2, 708--728 (2012; Zbl 1302.65181) Full Text: DOI
Hashmi, Muhammad Sadiq; Khan, Nargis; Iqbal, Shaukat Optimal homotopy asymptotic method for solving nonlinear Fredholm integral equations of second kind. (English) Zbl 1278.65197 Appl. Math. Comput. 218, No. 22, 10982-10989 (2012). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{M. S. Hashmi} et al., Appl. Math. Comput. 218, No. 22, 10982--10989 (2012; Zbl 1278.65197) Full Text: DOI
Hetmaniok, Edyta; Słota, Damian; Wituła, Roman Convergence and error estimation of homotopy perturbation method for Fredholm and Volterra integral equations. (English) Zbl 1255.65242 Appl. Math. Comput. 218, No. 21, 10717-10725 (2012). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45D05 45B05 PDFBibTeX XMLCite \textit{E. Hetmaniok} et al., Appl. Math. Comput. 218, No. 21, 10717--10725 (2012; Zbl 1255.65242) Full Text: DOI
Alam, M. Kamran; Rahim, M. T.; Haroon, T.; Islam, S.; Siddiqui, A. M. Solution of steady thin film flow of Johnson-Segalman fluid on a vertical moving belt for lifting and drainage problems using Adomian decomposition method. (English) Zbl 1351.76003 Appl. Math. Comput. 218, No. 21, 10413-10428 (2012). MSC: 76A20 76A05 76M25 65M99 PDFBibTeX XMLCite \textit{M. K. Alam} et al., Appl. Math. Comput. 218, No. 21, 10413--10428 (2012; Zbl 1351.76003) Full Text: DOI
Jiao, Xiaoyu; Zheng, Ying; Wu, Bo Approximate homotopy symmetry and infinite series solutions to the perturbed mKdV equation. (English) Zbl 1245.65142 Appl. Math. Comput. 218, No. 17, 8486-8491 (2012). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{X. Jiao} et al., Appl. Math. Comput. 218, No. 17, 8486--8491 (2012; Zbl 1245.65142) Full Text: DOI
Zhao, Yinlong; Lin, Zhiliang; Liu, Zeng; Liao, Shijun The improved homotopy analysis method for the Thomas-Fermi equation. (English) Zbl 1245.65099 Appl. Math. Comput. 218, No. 17, 8363-8369 (2012). MSC: 65L10 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Appl. Math. Comput. 218, No. 17, 8363--8369 (2012; Zbl 1245.65099) Full Text: DOI
El-Sayed, A. M. A.; Elsaid, A.; El-Kalla, I. L.; Hammad, D. A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains. (English) Zbl 1245.65141 Appl. Math. Comput. 218, No. 17, 8329-8340 (2012). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} et al., Appl. Math. Comput. 218, No. 17, 8329--8340 (2012; Zbl 1245.65141) Full Text: DOI
Boyd, John P. Numerical, perturbative and Chebyshev inversion of the incomplete elliptic integral of the second kind. (English) Zbl 1243.65035 Appl. Math. Comput. 218, No. 13, 7005-7013 (2012). MSC: 65D20 PDFBibTeX XMLCite \textit{J. P. Boyd}, Appl. Math. Comput. 218, No. 13, 7005--7013 (2012; Zbl 1243.65035) Full Text: DOI
Ćirić, Ljubomir; Samet, Bessem; Aydi, Hassen; Vetro, Calogero Common fixed points of generalized contractions on partial metric spaces and an application. (English) Zbl 1244.54090 Appl. Math. Comput. 218, No. 6, 2398-2406 (2011). Reviewer: Grzegorz Gabor (Toruń) MSC: 54H25 PDFBibTeX XMLCite \textit{L. Ćirić} et al., Appl. Math. Comput. 218, No. 6, 2398--2406 (2011; Zbl 1244.54090) Full Text: DOI
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. Regenerative cascade homotopies for solving polynomial systems. (English) Zbl 1231.65190 Appl. Math. Comput. 218, No. 4, 1240-1246 (2011). MSC: 65M99 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Appl. Math. Comput. 218, No. 4, 1240--1246 (2011; Zbl 1231.65190) Full Text: DOI
Eigoli, Ali Kamali; Khodabakhsh, Mohammad A homotopy analysis method for limit cycle of the van der Pol oscillator with delayed amplitude limiting. (English) Zbl 1215.65122 Appl. Math. Comput. 217, No. 22, 9404-9411 (2011). MSC: 65L05 PDFBibTeX XMLCite \textit{A. K. Eigoli} and \textit{M. Khodabakhsh}, Appl. Math. Comput. 217, No. 22, 9404--9411 (2011; Zbl 1215.65122) Full Text: DOI
Martin, Olga A homotopy perturbation method for solving a neutron transport equation. (English) Zbl 1218.65150 Appl. Math. Comput. 217, No. 21, 8567-8574 (2011). MSC: 65R20 45J05 82C70 65Y20 PDFBibTeX XMLCite \textit{O. Martin}, Appl. Math. Comput. 217, No. 21, 8567--8574 (2011; Zbl 1218.65150) Full Text: DOI
Chen, Zhong; Jiang, Wei Piecewise homotopy perturbation method for solving linear and nonlinear weakly singular VIE of second kind. (English) Zbl 1221.65328 Appl. Math. Comput. 217, No. 19, 7790-7798 (2011). Reviewer: I. V. Boikov (Penza) MSC: 65R20 45D05 45A05 45G05 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{W. Jiang}, Appl. Math. Comput. 217, No. 19, 7790--7798 (2011; Zbl 1221.65328) Full Text: DOI
Iqbal, S.; Javed, A. Application of optimal homotopy asymptotic method for the analytic solution of singular Lane-Emden type equation. (English) Zbl 1218.65069 Appl. Math. Comput. 217, No. 19, 7753-7761 (2011). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{S. Iqbal} and \textit{A. Javed}, Appl. Math. Comput. 217, No. 19, 7753--7761 (2011; Zbl 1218.65069) Full Text: DOI
Das, S.; Vishal, K.; Gupta, P. K.; Yildirim, A. An approximate analytical solution of time-fractional telegraph equation. (English) Zbl 1216.65135 Appl. Math. Comput. 217, No. 18, 7405-7411 (2011). MSC: 65M70 35L20 35R11 PDFBibTeX XMLCite \textit{S. Das} et al., Appl. Math. Comput. 217, No. 18, 7405--7411 (2011; Zbl 1216.65135) Full Text: DOI
Liu, Hsuan-Ku Application of homotopy perturbation methods for solving systems of linear equations. (English) Zbl 1209.65039 Appl. Math. Comput. 217, No. 12, 5259-5264 (2011). MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{H.-K. Liu}, Appl. Math. Comput. 217, No. 12, 5259--5264 (2011; Zbl 1209.65039) Full Text: DOI
Wang, Qi Approximate solution for system of differential-difference equations by means of the homotopy analysis method. (English) Zbl 1221.65159 Appl. Math. Comput. 217, No. 8, 4122-4128 (2010). Reviewer: Neville Ford (Chester) MSC: 65L03 65L20 34A25 34K28 PDFBibTeX XMLCite \textit{Q. Wang}, Appl. Math. Comput. 217, No. 8, 4122--4128 (2010; Zbl 1221.65159) Full Text: DOI
Yusufoğlu, Elçin An efficient algorithm for solving generalized pantograph equations with linear functional argument. (English) Zbl 1204.65083 Appl. Math. Comput. 217, No. 7, 3591-3595 (2010). MSC: 65L03 34K28 65L05 PDFBibTeX XMLCite \textit{E. Yusufoğlu}, Appl. Math. Comput. 217, No. 7, 3591--3595 (2010; Zbl 1204.65083) Full Text: DOI
Odibat, Zaid M. A study on the convergence of homotopy analysis method. (English) Zbl 1203.65105 Appl. Math. Comput. 217, No. 2, 782-789 (2010). Reviewer: Werner M. Seiler (Kassel) MSC: 65L05 41A58 34A25 34A34 65L70 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Appl. Math. Comput. 217, No. 2, 782--789 (2010; Zbl 1203.65105) Full Text: DOI
Zhu, Hongqing; Shu, Huazhong; Ding, Meiyu Numerical solutions of partial differential equations by discrete homotopy analysis method. (English) Zbl 1195.65143 Appl. Math. Comput. 216, No. 12, 3592-3605 (2010). MSC: 65M70 35K05 35Q53 65M12 PDFBibTeX XMLCite \textit{H. Zhu} et al., Appl. Math. Comput. 216, No. 12, 3592--3605 (2010; Zbl 1195.65143) Full Text: DOI
Iqbal, S.; Idrees, M.; Siddiqui, A. M.; Ansari, A. R. Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method. (English) Zbl 1193.35190 Appl. Math. Comput. 216, No. 10, 2898-2909 (2010). MSC: 35Q53 35A35 35A30 PDFBibTeX XMLCite \textit{S. Iqbal} et al., Appl. Math. Comput. 216, No. 10, 2898--2909 (2010; Zbl 1193.35190) Full Text: DOI
Di Rocco, Sandra; Eklund, David; Sommese, Andrew J.; Wampler, Charles W. Algebraic \(\mathbb C^*\)-actions and the inverse kinematics of a general 6R manipulator. (English) Zbl 1208.65028 Appl. Math. Comput. 216, No. 9, 2512-2524 (2010). Reviewer: Jason Hanson (Redmond) MSC: 65D18 PDFBibTeX XMLCite \textit{S. Di Rocco} et al., Appl. Math. Comput. 216, No. 9, 2512--2524 (2010; Zbl 1208.65028) Full Text: DOI
Liu, Cheng-Shi The essence of the homotopy analysis method. (English) Zbl 1194.34010 Appl. Math. Comput. 216, No. 4, 1299-1303 (2010). MSC: 34A25 34A45 PDFBibTeX XMLCite \textit{C.-S. Liu}, Appl. Math. Comput. 216, No. 4, 1299--1303 (2010; Zbl 1194.34010) Full Text: DOI arXiv
Duman, Melda Asymptotic expansions for the Sturm-Liouville problem by homotopy perturbation method. (English) Zbl 1193.34016 Appl. Math. Comput. 216, No. 2, 492-496 (2010). MSC: 34A45 34B24 34L10 34L15 PDFBibTeX XMLCite \textit{M. Duman}, Appl. Math. Comput. 216, No. 2, 492--496 (2010; Zbl 1193.34016) Full Text: DOI
Tripathi, D.; Pandey, S. K.; Das, S. Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel. (English) Zbl 1352.76131 Appl. Math. Comput. 215, No. 10, 3645-3654 (2010). MSC: 76Z05 76A10 76M25 PDFBibTeX XMLCite \textit{D. Tripathi} et al., Appl. Math. Comput. 215, No. 10, 3645--3654 (2010; Zbl 1352.76131) Full Text: DOI
Guo, Zhongjin; Leung, A. Y. T. The iterative homotopy harmonic balance method for conservative Helmholtz-Duffing oscillators. (English) Zbl 1183.65083 Appl. Math. Comput. 215, No. 9, 3163-3169 (2010). MSC: 65L05 34A34 34C10 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{A. Y. T. Leung}, Appl. Math. Comput. 215, No. 9, 3163--3169 (2010; Zbl 1183.65083) Full Text: DOI
Mahapatra, T. Ray; Nandy, S. K.; Gupta, A. S. Analytical solution of magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface. (English) Zbl 1422.76203 Appl. Math. Comput. 215, No. 5, 1696-1710 (2009). MSC: 76W05 76M25 PDFBibTeX XMLCite \textit{T. R. Mahapatra} et al., Appl. Math. Comput. 215, No. 5, 1696--1710 (2009; Zbl 1422.76203) Full Text: DOI
Ahmad, I.; Sajid, M.; Hayat, T. Heat transfer in unsteady axisymmetric second grade fluid. (English) Zbl 1179.80015 Appl. Math. Comput. 215, No. 5, 1685-1695 (2009). MSC: 80A20 76A10 PDFBibTeX XMLCite \textit{I. Ahmad} et al., Appl. Math. Comput. 215, No. 5, 1685--1695 (2009; Zbl 1179.80015) Full Text: DOI
Yao, Baoheng; Chen, Jianping A new analytical solution branch for the Blasius equation with a shrinking sheet. (English) Zbl 1172.76011 Appl. Math. Comput. 215, No. 3, 1146-1153 (2009). MSC: 76D10 76M25 80A20 PDFBibTeX XMLCite \textit{B. Yao} and \textit{J. Chen}, Appl. Math. Comput. 215, No. 3, 1146--1153 (2009; Zbl 1172.76011) Full Text: DOI
Fernández, Francisco M. On some approximate methods for nonlinear models. (English) Zbl 1175.65079 Appl. Math. Comput. 215, No. 1, 168-174 (2009). MSC: 65L05 34A34 92D25 92D30 PDFBibTeX XMLCite \textit{F. M. Fernández}, Appl. Math. Comput. 215, No. 1, 168--174 (2009; Zbl 1175.65079) Full Text: DOI arXiv
Chen, Ruyun; Xiang, Shuhuang Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals. (English) Zbl 1177.65042 Appl. Math. Comput. 215, No. 1, 78-84 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 42B10 41A55 41A63 65T40 PDFBibTeX XMLCite \textit{R. Chen} and \textit{S. Xiang}, Appl. Math. Comput. 215, No. 1, 78--84 (2009; Zbl 1177.65042) Full Text: DOI
Khan, Hina; Mohapatra, Ram N.; Vajravelu, K.; Liao, S. J. The explicit series solution of SIR and SIS epidemic models. (English) Zbl 1171.92033 Appl. Math. Comput. 215, No. 2, 653-669 (2009). MSC: 92D30 37N25 34A34 PDFBibTeX XMLCite \textit{H. Khan} et al., Appl. Math. Comput. 215, No. 2, 653--669 (2009; Zbl 1171.92033) Full Text: DOI
Wang, Yong-Gang; Song, Hui-Fang; Li, Dan Solving two-point boundary value problems using combined homotopy perturbation method and Green’s function method. (English) Zbl 1166.65362 Appl. Math. Comput. 212, No. 2, 366-376 (2009). MSC: 65L10 65L60 34B05 34B15 PDFBibTeX XMLCite \textit{Y.-G. Wang} et al., Appl. Math. Comput. 212, No. 2, 366--376 (2009; Zbl 1166.65362) Full Text: DOI
Khan, Rahmat Ali Generalized approximation method for heat radiation equations. (English) Zbl 1166.65359 Appl. Math. Comput. 212, No. 2, 287-295 (2009). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{R. A. Khan}, Appl. Math. Comput. 212, No. 2, 287--295 (2009; Zbl 1166.65359) Full Text: DOI
Akyildiz, F. Talay; Vajravelu, K.; Mohapatra, R. N.; Sweet, Erik; van Gorder, Robert A. Implicit differential equation arising in the steady flow of a Sisko fluid. (English) Zbl 1160.76002 Appl. Math. Comput. 210, No. 1, 189-196 (2009). MSC: 76A05 PDFBibTeX XMLCite \textit{F. T. Akyildiz} et al., Appl. Math. Comput. 210, No. 1, 189--196 (2009; Zbl 1160.76002) Full Text: DOI
Li, Xicheng; Xu, Mingyu; Jiang, Xiaoyun Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition. (English) Zbl 1159.65106 Appl. Math. Comput. 208, No. 2, 434-439 (2009). MSC: 65R20 45K05 26A33 35K05 PDFBibTeX XMLCite \textit{X. Li} et al., Appl. Math. Comput. 208, No. 2, 434--439 (2009; Zbl 1159.65106) Full Text: DOI
Chen, Yuqing; O’Regan, Donal On the homotopy property of topological degree for maximal monotone mappings. (English) Zbl 1173.47039 Appl. Math. Comput. 208, No. 2, 373-377 (2009). Reviewer: Grzegorz Gabor (Toruń) MSC: 47H11 47H05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{D. O'Regan}, Appl. Math. Comput. 208, No. 2, 373--377 (2009; Zbl 1173.47039) Full Text: DOI
Yao, Baoheng; Chen, Jianping Series solution to the Falkner-Skan equation with stretching boundary. (English) Zbl 1156.76022 Appl. Math. Comput. 208, No. 1, 156-164 (2009). MSC: 76D10 76M25 PDFBibTeX XMLCite \textit{B. Yao} and \textit{J. Chen}, Appl. Math. Comput. 208, No. 1, 156--164 (2009; Zbl 1156.76022) Full Text: DOI
Yao, Baoheng A series solution to the Thomas-Fermi equation. (English) Zbl 1161.34303 Appl. Math. Comput. 203, No. 1, 396-401 (2008). MSC: 34A25 34A34 PDFBibTeX XMLCite \textit{B. Yao}, Appl. Math. Comput. 203, No. 1, 396--401 (2008; Zbl 1161.34303) Full Text: DOI
Yücel, Uğur Homotopy analysis method for the sine-Gordon equation with initial conditions. (English) Zbl 1157.65464 Appl. Math. Comput. 203, No. 1, 387-395 (2008). MSC: 65M70 PDFBibTeX XMLCite \textit{U. Yücel}, Appl. Math. Comput. 203, No. 1, 387--395 (2008; Zbl 1157.65464) Full Text: DOI
An, Hong-Li; Chen, Yong Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method. (English) Zbl 1154.65362 Appl. Math. Comput. 203, No. 1, 125-133 (2008). MSC: 65M70 PDFBibTeX XMLCite \textit{H.-L. An} and \textit{Y. Chen}, Appl. Math. Comput. 203, No. 1, 125--133 (2008; Zbl 1154.65362) Full Text: DOI
Chen, Yong; An, Hongli Homotopy perturbation method for a type of nonlinear coupled equations with parameters derivative. (English) Zbl 1157.65515 Appl. Math. Comput. 204, No. 2, 764-772 (2008). MSC: 65R20 45K05 35Q53 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. An}, Appl. Math. Comput. 204, No. 2, 764--772 (2008; Zbl 1157.65515) Full Text: DOI
Chen, Y. M.; Liu, J. K. Homotopy analysis method for limit cycle flutter of airfoils. (English) Zbl 1262.74015 Appl. Math. Comput. 203, No. 2, 854-863 (2008). MSC: 74F10 76G25 PDFBibTeX XMLCite \textit{Y. M. Chen} and \textit{J. K. Liu}, Appl. Math. Comput. 203, No. 2, 854--863 (2008; Zbl 1262.74015) Full Text: DOI
Bhalekar, Sachin; Daftardar-Gejji, Varsha New iterative method: Application to partial differential equations. (English) Zbl 1154.65363 Appl. Math. Comput. 203, No. 2, 778-783 (2008). MSC: 65M70 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{V. Daftardar-Gejji}, Appl. Math. Comput. 203, No. 2, 778--783 (2008; Zbl 1154.65363) Full Text: DOI
Odibat, Zaid M. Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. (English) Zbl 1157.65073 Appl. Math. Comput. 205, No. 1, 273-280 (2008). MSC: 65R20 45K05 45G10 26A33 65M70 35Q53 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Appl. Math. Comput. 205, No. 1, 273--280 (2008; Zbl 1157.65073) Full Text: DOI
Sajid, M.; Hayat, T. Wire coating analysis by withdrawal from a bath of Sisko fluid. (English) Zbl 1137.76009 Appl. Math. Comput. 199, No. 1, 13-22 (2008). MSC: 76A05 76M25 PDFBibTeX XMLCite \textit{M. Sajid} and \textit{T. Hayat}, Appl. Math. Comput. 199, No. 1, 13--22 (2008; Zbl 1137.76009) Full Text: DOI
Molabahrami, A.; Khani, F. Numerical solutions of highly oscillatory integrals. (English) Zbl 1139.65019 Appl. Math. Comput. 198, No. 2, 657-664 (2008). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. Molabahrami} and \textit{F. Khani}, Appl. Math. Comput. 198, No. 2, 657--664 (2008; Zbl 1139.65019) Full Text: DOI
Ramos, J. I. Piecewise homotopy methods for nonlinear ordinary differential equations. (English) Zbl 1137.65048 Appl. Math. Comput. 198, No. 1, 92-116 (2008). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{J. I. Ramos}, Appl. Math. Comput. 198, No. 1, 92--116 (2008; Zbl 1137.65048) Full Text: DOI
Song, Lina; Zhang, Hongqing Application of the extended homotopy perturbation method to a kind of nonlinear evolution equations. (English) Zbl 1135.65387 Appl. Math. Comput. 197, No. 1, 87-95 (2008). MSC: 65M70 35Q53 68W30 PDFBibTeX XMLCite \textit{L. Song} and \textit{H. Zhang}, Appl. Math. Comput. 197, No. 1, 87--95 (2008; Zbl 1135.65387) Full Text: DOI
Fan, Xiaona; Yu, Bo A polynomial path following algorithm for convex programming. (English) Zbl 1141.65042 Appl. Math. Comput. 196, No. 2, 866-878 (2008). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{X. Fan} and \textit{B. Yu}, Appl. Math. Comput. 196, No. 2, 866--878 (2008; Zbl 1141.65042) Full Text: DOI
Biazar, J.; Ghazvini, H. Numerical solution for special nonlinear Fredholm integral equation by HPM. (English) Zbl 1132.65115 Appl. Math. Comput. 195, No. 2, 681-687 (2008). MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{H. Ghazvini}, Appl. Math. Comput. 195, No. 2, 681--687 (2008; Zbl 1132.65115) Full Text: DOI
Javidi, M. Iterative methods to nonlinear equations. (English) Zbl 1193.65064 Appl. Math. Comput. 193, No. 2, 360-365 (2007). MSC: 65H05 PDFBibTeX XMLCite \textit{M. Javidi}, Appl. Math. Comput. 193, No. 2, 360--365 (2007; Zbl 1193.65064) Full Text: DOI
Golbabai, A.; Javidi, M. Newton-like iterative methods for solving system of non-linear equations. (English) Zbl 1193.65149 Appl. Math. Comput. 192, No. 2, 546-551 (2007). MSC: 65L99 65H10 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{M. Javidi}, Appl. Math. Comput. 192, No. 2, 546--551 (2007; Zbl 1193.65149) Full Text: DOI
Hashemi, S. H.; Daniali, H. R. Mohammadi; Ganji, D. D. Numerical simulation of the generalized Huxley equation by He’s homotopy perturbation method. (English) Zbl 1193.65181 Appl. Math. Comput. 192, No. 1, 157-161 (2007). MSC: 65M99 35K55 35K20 PDFBibTeX XMLCite \textit{S. H. Hashemi} et al., Appl. Math. Comput. 192, No. 1, 157--161 (2007; Zbl 1193.65181) Full Text: DOI
Yusufoğlu, Elcin An efficient algorithm for solving integro-differential equations system. (English) Zbl 1193.65234 Appl. Math. Comput. 192, No. 1, 51-55 (2007). MSC: 65R99 45J05 PDFBibTeX XMLCite \textit{E. Yusufoğlu}, Appl. Math. Comput. 192, No. 1, 51--55 (2007; Zbl 1193.65234) Full Text: DOI
Golbabai, A.; Javidi, M. Application of homotopy perturbation method for solving eighth-order boundary value problems. (English) Zbl 1193.65148 Appl. Math. Comput. 191, No. 2, 334-346 (2007). MSC: 65L99 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{M. Javidi}, Appl. Math. Comput. 191, No. 2, 334--346 (2007; Zbl 1193.65148) Full Text: DOI
Momani, Shaher; Noor, Muhammad Aslam Numerical comparison of methods for solving a special fourth-order boundary value problem. (English) Zbl 1193.65135 Appl. Math. Comput. 191, No. 1, 218-224 (2007). MSC: 65L12 PDFBibTeX XMLCite \textit{S. Momani} and \textit{M. A. Noor}, Appl. Math. Comput. 191, No. 1, 218--224 (2007; Zbl 1193.65135) Full Text: DOI
Golbabai, A.; Javidi, M. A third-order Newton type method for nonlinear equations based on modified homotopy perturbation method. (English) Zbl 1193.65058 Appl. Math. Comput. 191, No. 1, 199-205 (2007). MSC: 65H05 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{M. Javidi}, Appl. Math. Comput. 191, No. 1, 199--205 (2007; Zbl 1193.65058) Full Text: DOI
Golbabai, A.; Javidi, M. New iterative methods for nonlinear equations by modified HPM. (English) Zbl 1193.65057 Appl. Math. Comput. 191, No. 1, 122-127 (2007). MSC: 65H05 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{M. Javidi}, Appl. Math. Comput. 191, No. 1, 122--127 (2007; Zbl 1193.65057) Full Text: DOI
Wang, Qi Homotopy perturbation method for fractional KdV equation. (English) Zbl 1122.65397 Appl. Math. Comput. 190, No. 2, 1795-1802 (2007). MSC: 65M70 35Q53 65R20 45G10 45K05 PDFBibTeX XMLCite \textit{Q. Wang}, Appl. Math. Comput. 190, No. 2, 1795--1802 (2007; Zbl 1122.65397) Full Text: DOI
Golbabai, A.; Javidi, M. A new family of iterative methods for solving system of nonlinear algebraic equations. (English) Zbl 1227.65046 Appl. Math. Comput. 190, No. 2, 1717-1722 (2007). MSC: 65H10 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{M. Javidi}, Appl. Math. Comput. 190, No. 2, 1717--1722 (2007; Zbl 1227.65046) Full Text: DOI