A noniterative domain decomposition method for the forward-backward heat equation

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 10، شماره 2 - شماره پیاپی 18، آذر 2020، صفحه 49-61   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v10i2.82688

نویسندگان

S. Banei؛ K. Shanazari^*

Department of Mathematics, Faculty of Sciences, University of Kurdistan, Sanandaj, Iran.

چکیده

A nonoverlapping domain decomposition technique applied to a finite difference method is presented for the numerical solution of the forward backward heat equation in the case of one-dimension. While the previous at tempts in dealing with this problem have been based on an iterative domain decomposition scheme, the current work avoids iterations. Also a physical matching condition is suggested to avoid difficulties caused by the interface boundary nodes. Furthermore, we obtain a square system of equations. In addition, the convergence and stability of the proposed method are investi gated. Some numerical experiments are given to show the effectiveness of the proposed method.

کلیدواژه‌ها

Forward-backward heat equation؛ Nonoverlapping domain decomposition؛ Finite difference؛ Noniterative method

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