Application of Homotopy Perturbation Method with Chebyshev Polynomials to Nonlinear Problems

The new application accelerates the rapid convergence of the series solutions and is used for analytic treatment of these equations.. Some illustrative examples are given to

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

In this work, we successfully apply He’s homotopy perturbation method in combination with Chebyshev’s polynomials to solve the differential equations with source term for which

Secondly, by selecting a suitable initial ap- proximation, the approximate solution with arbitrary degree accuracy to the generalized Ginzburg- Landau-Higgs system is derived.

The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations. Key words: He’s

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