Homotopy Perturbation Method for Solving Partial Differential Equations

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

Comparison with numerical Runge-Kutta methods (RK) shows that the modified algorithm presented in this paper has the advantage of giving an analytical form of the so- lution, which

One Way of Choosing the Auxiliary Parameter It is important to ensure that a solution series ob- tained using PIM, which is always as a family of solu- tion expressions in the

The approximate and/or exact solutions of the generalized Klein-Gordon- and sine-Gordon-type equations are obtained. We introduce a new type of initial conditions to extend the class

The purpose of the presented paper is to extend the class of solvable Klein-Gordon- and sine-Gordon-type equations by introducing the new type of initial con- ditions.. We apply

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