Abstract
The aim of this paper is to study the modification of He’s variational iteration method (VIM), i.e., the modified variational iteration method (MVIM). The study demonstrates the power of the MVIM over the standard VIM. It investigates the exactness of the MVIM by showing that the results obtained by it are far nearer to the exact solutions than those obtained by the VIM. The study also reveals that the MVIM has the capability of reducing the size of calculations. Two-dimensional Brusselator system is solved using the MVIM. The numerical results obtained by these methods are compared with the known closed-form solutions.
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