Application of the RBF meshfree method and the domain decomposition to the numerical solution of the forward-backward heat equation
Publish Year: 1398
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICNS04_041
تاریخ نمایه سازی: 8 تیر 1398
Abstract:
We apply a radial basis function (RBF) meshless method to the one dimensional forward-backward heat equation. The physical domain is divided into two subdomains resulting in two standard forward and backward subproblems. An RBF meshfree method is applied to each subproblem assuming a virtual bundary between the subdomains and using an initial approximate solution on the interface. A nite difference scheme is employed for the time derivative and an iterative domain decomposition methodis used to achieve a desired accuracy. Some numerical results will be given to show the effectiveness of the new method.
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Authors
Siamak Banee
Department of Mathematics, University of Kurdistan, Sanandaj, IRAN.
Kamal Shanazari
Department of Mathematics, University of Kurdistan, Sanandaj, IRAN.