Homotopy Perturbation Method for a Reliable Analytic Treatment of some Evolution Equations

Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method.. Mehmet Ali Balcı and

In this paper, the approximate analytical solutions of a general diffusion equation with fractional time derivative in the presence of a linear external force are obtained with the

In this paper, the approximate analytical solutions of a general diffusion equation with fractional time derivative in the presence of a linear external force are obtained with the

The traditional perturbation methods are based on assuming a small parameter, and the approximate solutions obtained by those methods, in most cases, are valid only for small values

Con- sequently, it is found that as long as the series so- lution for the wave speed p is convergent, the cor- responding series solution for w ( ξ ) is also conver- gent..

The discretized modified Korteweg- de Vries (mKdV) lattice equation and the discretized nonlinear Schr¨odinger equation are taken as examples to illustrate the validity and the

64a, 420 – 430 (2009); received September 4, 2008 / revised October 14, 2008 In this work, the homotopy perturbation method proposed by Ji-Huan He [1] is applied to solve both

and parabolic partial differential equations subject to temperature overspecification [26], the second kind of nonlinear integral equations [27], nonlinear equations arising in