A new efficient method for solving delay differential equations and a comparison with other methods

被引：44

作者：

Bildik, Necdet ^{[1
]}

Deniz, Sinan ^{[1
]}

机构：

[1] Manisa Celal Bayar Univ, Fac Art & Sci, Dept Math, TR-45040 Manisa, Turkey

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 01期

关键词：

ADOMIAN DECOMPOSITION METHOD; NUMERICAL-SOLUTION; COLLOCATION METHOD; TRANSFORM METHOD; NONLINEAR PDES;

D O I：

10.1140/epjp/i2017-11344-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a new analytical technique, namely the optimal perturbation iteration method, is presented and applied to delay differential equations to find an efficient algorithm for their approximate solutions. Effectiveness of this method is tested by various examples of linear and nonlinear problems of delay differential equations. Obtained results reveal that optimal perturbation iteration algorithm is very effective, easy to use and simple to perform.

引用

页数：11

共 37 条

[1] Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method [J].

Abbasbandy, S .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) :887-893

[2] New perturbation-iteration solutions for Bratu-type equations [J].

Aksoy, Yigit ;

Pakdemirli, Mehmet .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) :2802-2808

[3] Solution of Delay Differential Equation by Means of Homotopy Analysis Method [J].

Alomari, A. K. ;

Noorani, M. S. M. ;

Nazar, R. .

ACTA APPLICANDAE MATHEMATICAE, 2009, 108 (02) :395-412

[4] Optimal Homotopy Asymptotic Method for Solving Delay Differential Equations [J].

Anakira, N. Ratib ;

Alomari, A. K. ;

Hashim, I. .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013

[5]

[Anonymous], 2013, ABSTR APPL AN

[6]

Atangana A., 2013, MATH PROBL ENG, V2013

[7]

Bahsi M. M., 2015, J APPL MATH, V2015

[8] Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method [J].

Bildik, N ;

Konuralp, A ;

Bek, FO ;

Küçükarslan, S .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) :551-567

[9]

Bildik N, 2006, INT J NONLIN SCI NUM, V7, P65

[10]

Bildik N, 2015, SCI IRAN, V22, P1052

← 1 2 3 4 →