TY  - EJOU
AU  - Abbasbandy, S.  
AU  - Sladek, V.  
AU  - Shirzadi, A.  
AU  - Sladek, J.  

TI  - Numerical Simulations for Coupled Pair of Diffusion Equations by MLPG Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2011
VL  - 71
IS  - 1
SN  - 1526-1506

AB  - This paper deals with the development of a new method for solution of initial-boundary value problems governed by a couple of nonlinear diffusion equations occurring in the theory of self-organization in non-equilibrium systems. The time dependence is treated by linear interpolation using the finite difference method and the semi-discrete partial differential equations are considered in a weak sense by using the local integral equation method with approximating 2-d spatial variations of the field variables by the Moving Least Squares. The evaluation techniques are discussed and the applicability of the presented method is demonstrated on two illustrative examples with exact solutions being used as benchmark solutions.
KW  - MLPG
KW  -  Moving least squares approximation
KW  -  Numerical integration procedures
KW  -  System of parabolic partial differential equations
KW  -  Boundary conditions

DO  - 10.3970/cmes.2011.071.015