期刊
APPLIED MATHEMATICAL MODELLING
卷 36, 期 6, 页码 2360-2369出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.08.032
关键词
Neumann's boundary condition; Radial basis functions; Non-local boundary value problem
In this paper, the problem of solving the two-dimensional diffusion equation subject to a non-local condition involving a double integral in a rectangular region is considered. The solution of this type of problems are complicated. Therefore, a simple meshless method using the radial basis functions is constructed for the non-local boundary value problem with Neumanns boundary conditions. Numerical examples are included to demonstrate the reliability and efficiency of this method. Also N-e and Root mean square errors are obtained to show the convergence of the method. (C) 2011 Elsevier Inc. All rights reserved.
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