An Overlapping Numerical Method for a Partially Singularly Perturbed Initial Value Problem

被引：0
|
作者：
Roja J.C. [1 ]
Tamilselvan A. [2 ]
机构：
[1] Department of Mathematics, St. Joseph’s College, Tiruchirappalli, 620 003, Tamilnadu
[2] Department of Mathematics, Bharathidasan University, Tiruchirappalli, 620 024, Tamilnadu
来源：
Computational Mathematics and Modeling | 2020年 / 31卷 / 2期
关键词：
finite difference scheme; fitted mesh; hybrid difference scheme; initial value problem; singularly perturbed problems; System of differential equations;
D O I：
10.1007/s10598-020-09482-y
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the parameter-uniform overlapping numerical method for a coupled first-order system with prescribed initial conditions. An overlapping interval is used to form a numerical method for this problem. The problem is discretized using the mid-point difference scheme on the boundary and non-layer regions. The convergence analysis is given, and the method is proved to be second order uniformly convergent in maximum norm with respect to the singular perturbation parameter ε Numerical experiments are conducted to demonstrate the theoretical results. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：135 / 142
页数：7
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