کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6423204 1632177 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The study of a fourth-order multistep ADI method applied to nonlinear delay reaction-diffusion equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
The study of a fourth-order multistep ADI method applied to nonlinear delay reaction-diffusion equations
چکیده انگلیسی

In this paper, a high-order compact alternating direction implicit (HOC ADI) method, which combines fourth-order compact difference approximation to spatial derivatives and second order backward differentiation formula (BDF2) for temporal integration, is derived for nonlinear delay reaction-diffusion equations. By the discrete energy method, its optimal error estimates in L2- and H1-norms are constructively obtained. Then, a class of Richardson extrapolation algorithms (REAs) are established to improve computational efficiency. Besides, a modified HOC ADI solver is devised to reduce time cost as delay is very small. Numerical results confirm the theoretical results and performance of our algorithms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 96, October 2015, Pages 118-133
نویسندگان
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