### The MLPG Method Based on Radial Point Interpolation Method for Solving Coupled Nonlinear Reaction-Diffusion Equations

#### Abstract

The meshless local Petrov-Galerkin (MLPG) method is developed to solve the system of coupled nonlinear reaction-diffusion equations in two dimensional spaces subjected to Dirichlet and Neumann boundary conditions on a square domain. The spatial variations are approximated by radial point interpolation method (RPIM) and the nonlinear terms are treated iteratively within each time step. Two numerical examples are considered to demonstrate the applicability and the accuracy of the proposed method is investigated by root mean square of relative error.

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