Ahmad Shirzadi1, Vladimir Sladek2, Jan Sladek3
CMES-Computer Modeling in Engineering & Sciences, Vol.95, No.4, pp. 259-282, 2013, DOI:10.3970/cmes.2013.095.259
Abstract This paper is concerned with the development of a numerical approach based on the Meshless Local Petrov-Galerkin (MLPG) method for the approximate solutions of the two dimensional nonlinear reaction-diffusion Brusselator systems. The method uses finite differences for discretizing the time variable and the moving least squares (MLS) approximation for field variables. The application of the weak formulation with the Heaviside type test functions supported on local subdomains (around the nodes used in MLS approximation) to semi-discretized partial differential equations yields the finite-volume local weak formulation. A predictor-corrector scheme is used to handle the nonlinearity of the problem within each time… More >
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