A new method for solving boundary value problems for partial differential equations

Authors:
Lu Lei;Temuer Chaolu
Affiliations:
College of Sciences of Inner Mongolia University of Technology, Hohhot, 010051, China;College of Sciences and Arts, Shanghai Maritime University, Shanghai, 200135, China
Venue:
Computers & Mathematics with Applications
Year:
2011

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A comparison between the variational iteration method and Adomian decomposition method

Journal of Computational and Applied Mathematics

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Abstract

This paper proposes a symmetry-iteration hybrid algorithm for solving boundary value problems for partial differential equations. First, the multi-parameter symmetry is used to reduce the problem studied to a simpler initial value problem for ordinary differential equations. Then the variational iteration method is employed to obtain its solution. The results reveal that the proposed method is very effective and can be applied for other nonlinear problems.