A Higher Order Accurate Numerical Method for Singularly Perturbed Two Point Boundary Value Problems

被引：2

作者：

Kaushik A. ^{[2
]}

Kumar V. ^{[1
]}

Vashishth A.K. ^{[1
]}

机构：

[1] Department of Mathematics, Kurukshetra University, Kurukshetra, 136119, Haryana

[2] University Institute of Engineering and Technology, Panjab University, Chandigarh, 160014, UT

来源：

Differential Equations and Dynamical Systems | 2017年 / 25卷 / 2期

关键词：

Differential equations with delay as well as advance; Reduced problem; Runge-Kutta method; Singular perturbation;

D O I：

10.1007/s12591-016-0279-9

中图分类号：

学科分类号：

摘要：

In this paper, an extended mixed asymptotic-numerical method is presented for a one dimensional two point singularly perturbed boundary value problem. The original problem is solved separately on outer and inner region. The outer region problem called the reduced problem is solved using the q-stage Runge-Kutta method and the inner region problem is solved asymptotically. A uniform error estimate of O(hp) , (p≤ q) is obtained. Several numerical examples are taken to illustrate the comparative study. The method is also extended to delay and advance problem. © 2016, Foundation for Scientific Research and Technological Innovation.

引用

页码：267 / 285

页数：18

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