A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations

被引：0

作者：

Arslan, Derya ^{[1
]}

机构：

[1] Bitlis Eren Univ, Fac Art & Sci, Dept Math, TR-13200 Bitlis 13200, Turkey

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2019年 / 32卷 / 01期

关键词：

Singularly perturbed; Delay differential equation; Taylor series expansion; Differential transform method; Numerical solution; FINITE-DIFFERENCE; LAYER;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aim of the present study is to solve singularly perturbed second order linear delay differential equations by combining the flexibility of differential transform method and the efficiency of Taylor series expansion method. For this purpose, we use two-term Taylor series expansion method for delayed parameter linearization and then apply the differential transform method. Two examples are presented to demonstrate the efficiency, rapidity and reliability of the proposed hybrid method.

引用

页码：217 / 223

页数：7

共 19 条

[1]

Akgul A, 2015, ABSTR APPL AN, V2015

[2]

[Anonymous], 1977, ORDINARY DELAY DIFFE

[3] Applications of differential transform method to differential-algebraic equations [J].