Numerical solution of coupled nonlinear reaction-diffusion equations based on moving Kriging interpolation

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Publication Details

Author list: Yimnak K., Luadsong A.

Publication year: 2014

Journal: Advances and Applications in Fluid Mechanics (0973-4686)

Volume number: 16

Issue number: 2

Start page: 163

End page: 177

Number of pages: 15

ISSN: 0973-4686

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84905005103&partnerID=40&md5=27e01535a2deef2c9ac9bbf75f59e6f5

Languages: English-Great Britain (EN-GB)

Abstract

The meshless local Pretrov-Galerkin (MLPG) method based on moving Kriging approximation is introduced to solve the system of coupled nonlinear reaction-diffusion equations. The Runge-Kutta method is chosen for temporal discretization. The developed formulations are verified in two numerical experiments. The results are shown that the developed formulation works well and has accuracy of numerical results for these nonlinear equations. ฉ 2014 Pushpa Publishing House, Allahabad, India.

Keywords

Moving Kriging, Reaction-diffusion equations, Runge-Kutta method