文章基本信息

标题：A robust computational technique for a system of singularly perturbed reaction–diffusion equations
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作者：Vinod Kumar ; Rajesh K. Bawa ; Arvind K. Lal 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2014
卷号：24
期号：2
DOI：10.2478/amcs-2014-0029
出版社：De Gruyter Open
摘要：In this paper, a singularly perturbed system of reaction–diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be of second order convergent (up to a logarithmic factor). Numerical results are presented which are in agreement with the theoretical results
关键词：asymptotic expansion approximation; backward difference operator; trapezoidal method; piecewise uniform Shishkin mesh