An Exponentially Fitted Spline Method for Second-Order Singularly Perturbed Delay Differential Equations

被引：0

作者：

Podila Pramod Chakravarthy

S. Dinesh Kumar

R. Nageshwar Rao

机构：

[1] Visvesvaraya National Institute of Technology,Department of Mathematics, School of Advanced Sciences

[2] VIT University,undefined

来源：

Iranian Journal of Science and Technology, Transactions A: Science | 2017年 / 41卷

关键词：

Singular perturbations; Cubic spline in compression; Boundary layer; Delay differential equation; Exponentially fitted finite-difference method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with the singularly perturbed boundary value problem for the second-order delay differential equation. Similar boundary value problems are associated with expected first-exit times of the membrane potential in models of neurons. A fitted numerical scheme has been developed to solve the boundary value problem. The difference scheme which is shown to converge to the continuous solution uniformly with respect to the perturbation parameter is illustrated with numerical results.

引用

页码：515 / 519

页数：4

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