کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640255 1341268 2011 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error and extrapolation of a compact LOD method for parabolic differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Error and extrapolation of a compact LOD method for parabolic differential equations
چکیده انگلیسی

This paper is concerned with a compact locally one-dimensional (LOD) finite difference method for solving two-dimensional nonhomogeneous parabolic differential equations. An explicit error estimate for the finite difference solution is given in the discrete infinity norm. It is shown that the method has the accuracy of the second-order in time and the fourth-order in space with respect to the discrete infinity norm. A Richardson extrapolation algorithm is developed to make the final computed solution fourth-order accurate in both time and space when the time step equals the spatial mesh size. Numerical results demonstrate the accuracy and the high efficiency of the extrapolation algorithm.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 5, 1 January 2011, Pages 1367–1382
نویسندگان
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