A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains

A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains

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Article ID: iaor20123583
Volume: 218
Issue: 17
Start Page Number: 8329
End Page Number: 8340
Publication Date: May 2012
Journal: Applied Mathematics and Computation
Authors: , , ,
Keywords: perturbation analysis, recursive algorithm, differential equations, homotopy method
Abstract:

In this paper, a homotopy perturbation technique is proposed to solve a class of initial‐boundary value problems of partial differential equations of arbitrary (fractional) orders over finite domains. The basic idea of this technique is to utilize both the initial and boundary conditions in the recursive relation of the solution scheme so that we can obtain a good approximate solution. Numerical examples are presented to illustrate the validity of the proposed technique.

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