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2013 Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations
Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu
J. Appl. Math. 2013: 1-11 (2013). DOI: 10.1155/2013/157956

Abstract

This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in the form of a series whose components are computed by applying a recursive relation. Block pulse functions are used to calculate the Legendre wavelets coefficient matrices of the nonlinear terms. The main advantage of the new method is that it can avoid solving the nonlinear algebraic system and symbolic computation. Furthermore, the developed vector-matrix form makes it computationally efficient. The results show that the proposed method is very effective and easy to implement.

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Fukang Yin. Junqiang Song. Xiaoqun Cao. Fengshun Lu. "Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations." J. Appl. Math. 2013 1 - 11, 2013. https://doi.org/10.1155/2013/157956

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.65218
MathSciNet: MR3032260
Digital Object Identifier: 10.1155/2013/157956

Rights: Copyright © 2013 Hindawi

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