A System of Singularly Perturbed Periodic Boundary Value Problem: Hybrid Difference Scheme

被引：0

作者：

Puvaneswari A. ^{[1
]}

Valanarasu T. ^{[2
]}

Ramesh Babu A. ^{[3
]}

机构：

[1] Department of Mathematics, University College of Engineering, Anna University, Tiruchirappalli, 620 024, Tamilnadu

[2] Department of Mathematics, Government Arts and Science College (Formerly Bharathidasan University College), Perambalur, 621 107, Tamilnadu

[3] Department of Mathematics, School of Engineering, Amrita Vishwa Vidhyapeetham, Coimbatore, 641 112, Tamilnadu

来源：

International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 3期

关键词：

Boundary layers; Hybrid difference scheme; Periodic boundary conditions; Singularly perturbed problem; Weakly coupled system;

D O I：

10.1007/s40819-020-00842-1

中图分类号：

学科分类号：

摘要：

This article considers a system of singularly perturbed periodic boundary value problem which exhibits two layers at the end points. We apply a hybrid difference scheme to the system of periodic problem on piecewise uniform Shishkin type of meshes. Further, we derive an ε-uniform error estimate with almost second order accuracy. Test problems with numerical results are given to support the efficiency and novelty of the method. © 2020, Springer Nature India Private Limited.

引用

共 10 条

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[10]

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