Application of Optimal Homotopy Asymptotic Method for Solving Linear Delay Differential Equations

被引：1

作者：

Anakira, N. Ratib ^{[1
]}

Alomari, A. K. ^{[2
]}

Hashim, I. ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia

[2] Hashemite Univ, Fac Sci, Dept Math, Zarqa 13115, Jordan

来源：

2013 UKM FST POSTGRADUATE COLLOQUIUM | 2013年 / 1571卷

关键词：

Optimal Homotopy Asymptotic Method (OHAM); Delay Differential Equations (DDEs); MULTIQUADRIC APPROXIMATION SCHEME; NUMERICAL-SOLUTION; SYSTEMS;

D O I：

10.1063/1.4858786

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A new analytical method namely optimal homotopy asymptotic method (OHAM) has been used in this study to find algorithm of approximate analytic solution for linear delay differential equations (DDEs). This approach provides us with a convenient way to control the convergence of approximation series and allows adjustment of convergence regions where necessary. The approximate solution which is obtained by OHAM is in a very good a agreement with the exact solution.

引用

页码：1013 / 1019

页数：7

共 11 条

[1] Solution of Delay Differential Equation by Means of Homotopy Analysis Method
Alomari, A. K.
Noorani, M. S. M.
Nazar, R.
[J]. ACTA APPLICANDAE MATHEMATICAE, 2009, 108 (02) : 395 - 412
[2] Anakira N. R., 2013, MATH PROBL IN PRESS
[3] The Adomian decomposition method for solving delay differential equation
Evans, DJ
Raslan, KR
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (01) : 49 - 54
[4] Glass L, 1979, Ann N Y Acad Sci, V316, P214, DOI 10.1111/j.1749-6632.1979.tb29471.x
[5] An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
Marinca, Vasile
Herisanu, Nicolae
Bota, Constantin
Marinca, Bogdan
[J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (02) : 245 - 251
[6] OPTIMAL-CONTROL OF SYSTEMS DESCRIBED BY DELAY DIFFERENTIAL-EQUATIONS
PATEL, NK
DAS, PC
PRABHU, SS
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1982, 36 (02) : 303 - 311
[7] Variational iteration method for solving a generalized pantograph equation
Saadatmandi, Abbas
Dehghan, Mehdi
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2190 - 2196
[8] Saeed R.K., 2010, Australian Journal of Basic and Applied Sciences, V4, P3613
[9] Solution of delay differential equations via a homotopy perturbation method
Shakeri, Fatemeh
Dehghan, Mehdi
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (3-4) : 486 - 498
[10] Multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type
Vanani, S. Karimi
Aminataei, A.
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (1-2) : 234 - 241

← 1 2 →