Application variational iteration method with studying the convergence to nonlinear PDEs

Abstract

This article is devoted to implement variational iteration method (VIM) for solving nonlinear partial differential equations. This method is based on the use of Lagrange multiplier for identification of optimal value of a parameter in a functional. This procedure is a powerful tool for solving large amount of problems. Using VIM, it is possible to find a sequence of functions which converges to the exact solution or an approximate solution of the problem. Our emphasis will be on study the convergence of the proposed method. Convergence analysis is reliable enough to estimate the maximum absolute error of the solution given by VIM.

Keywords

• Variational iteration method

Kaynakça

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