Homotopy Analysis Method for Time-Fractional Wave-Like Equations

被引：0

作者：

Shaiq M.S. ^{[1
]}

Iqbal Z. ^{[1
]}

Mohyud-Din S.T. ^{[1
]}

机构：

[1] Department of Mathematics, HITEC University, Taxila Cantt

来源：

Computational Mathematics and Modeling | 2013年 / 24卷 / 4期

关键词：

exact solutions; fractional calculus; fractional wave-like equations; Homotopy analysis method; nonlinear wave-like equations; PDEs;

D O I：

10.1007/s10598-013-9201-2

中图分类号：

学科分类号：

摘要：

In this paper, we apply the homotopy analysis method (HAM) to find appropriate solutions of time-fractional nonlinear wave-like equations with variable coefficients that are of utmost importance in applied and engineering sciences. Numerical results coupled with graphical representation explicitly reveal the complete reliability of the proposed algorithm. © 2013 Springer Science+Business Media New York.

引用

页码：592 / 603

页数：11

共 17 条

[1]

Abbasbandy S., Homotopy analysis method for generalized Benjamin-Bona-Mahony equation, Z. Angew. Math. Phys., 59, pp. 51-62, (2008)

[2]

Abbasbandy S., Zakaria F.S., Soliton solutions for the fifth-order K-dV equation with the homotopy analysis method, Nonlinear Dyn., 51, pp. 83-87, (2008)

[3]

Abbasbandy S., Homotopy analysis method for the Kawahara equation, Nonlinear Anal (B), 11, pp. 307-312, (2010)

[4]

Abbasbandy S., Shivanian E., Vajravelu K., Mathematical properties of curve in the framework of the homotopy analysis method, 16, pp. 4268-4275, (2011)

[5]

Abbasbandy S., The application of homotopy analysis method to nonlinear equations arising in heat transfer, Phys. Lett. A, 360, pp. 109-113, (2006)

[6]

Abbasbandy S., The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation, Phys. Lett. A, 361, pp. 478-483, (2007)

[7]

Liao S.J., Beyond Perturbation: Introduction to the Homotopy Analysis Method, (2003)

[8]

Liao S.J., On the homotopy analysis method for nonlinear problems, Appl. Math. Comput., 147, pp. 499-513, (2004)

[9]

Liao S.J., Comparison between the homotopy analysis method and homotopy perturbation method, Appl. Math. Comput., 169, pp. 1186-1194, (2005)

[10]

Gurtin M.E., Maccamy R.C., On the diffusion of biological population, Math. Biosci., 33, pp. 35-49, (1977)

← 1 2 →