کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635956 | 1340717 | 2007 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
2D parallel and stable group explicit finite difference method for solution of diffusion equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: 2D parallel and stable group explicit finite difference method for solution of diffusion equation 2D parallel and stable group explicit finite difference method for solution of diffusion equation](/preview/png/4635956.png)
چکیده انگلیسی
Recently various versions of alternating group explicit or alternating group explicit-implicit methods were proposed for solution of diffusion equation. The main benefits of these methods are: good stability, accuracy and parallelizing. But these methods were developed for 1D case and stability and accuracy were investigated for 1D case too. In the present study we extend the new group explicit method [R. Tavakoli, P. Davami, New stable group explicit finite difference method for solution of diffusion equation, Appl. Math. Comput. 181 (2006) 1379-1386] to 2D with operator splitting method. The implementation of method is discussed in details. Our numerical experiment shows that such 2D extension is unconditionally stable and it is more accurate that traditional unconditional stable explicit method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 188, Issue 2, 15 May 2007, Pages 1184-1192
Journal: Applied Mathematics and Computation - Volume 188, Issue 2, 15 May 2007, Pages 1184-1192
نویسندگان
Rohallah Tavakoli, Parviz Davami,