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مقالات فارسیISIکنفرانسهاژورنالها

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

محل انتشار: مجله ایرانی آنالیز عددی و بهینه سازی، دوره: 10، شماره: 2
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 165

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لینک ثابت به این مقاله:
https://civilica.com/doc/1170450

شناسه ملی سند علمی:

JR_IJNAO-10-2_003

تاریخ نمایه سازی: 17 فروردین 1400

چکیده مقاله:

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.

کلیدواژه ها:

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

نویسندگان

Siamak Banei

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

Kamal Shanazari

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

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