Solving 2D Reaction-Diffusion Equations with Nonlocal Boundary Conditions by the RBF-MLPG Method
作者： Ahmad Shirzadi
DOI: 10.1007/S10598-014-9246-X
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摘要: This paper is concerned with the development of a new approach for numerical solution linear and nonlinear reaction-diffusion equations in two spatial dimensions Bitsadze-Samarskii type nonlocal boundary conditions. Proper finite-difference approximations are utilized to discretize time variable. Then, weak resultant elliptic PDEs constructed on local subdomains. These discretized by using multiquadric (MQ) radial basis function (RBF) approximation where an iterative procedure proposed treat terms each step. Numerical test problems given verify accuracy obtained stability method versus parameters
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