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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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.

Authors

Siamak Banee

Department of Mathematics, University of Kurdistan, Sanandaj, IRAN.

Kamal Shanazari

Department of Mathematics, University of Kurdistan, Sanandaj, IRAN.