Comparative Study between Optimal Homotopy Asymptotic Method and Perturbation-Iteration Technique for Different Types of Nonlinear Equations

被引：28

作者：

Bildik, Necdet ^{[1
]}

Deniz, Sinan ^{[1
]}

机构：

[1] Celal Bayar Univ, Fac Arts & Sci, Dept Math, TR-45047 Manisa, Turkey

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2018年 / 42卷 / A2期

关键词：

Optimal homotopy asymptotic method; Perturbation-iteration method; Nonlinear differential equation; ADOMIAN DECOMPOSITION METHOD; TAYLOR COLLOCATION; TRANSFORM METHOD; HEAT-TRANSFER; SYSTEMS; FLOW;

D O I：

10.1007/s40995-016-0039-2

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：

In this paper, we compare optimal homotopy asymptotic method and perturbation-iteration method to solve random nonlinear differential equations. Both of these methods are known to be new and very powerful for solving differential equations. We give some numerical examples to prove these claims. These illustrations are also used to check the convergence of the proposed methods.

引用

页码：647 / 654

页数：8

共 29 条

[1] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].

ADOMIAN, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) :501-544

[2] New perturbation-iteration solutions for nonlinear heat transfer equations [J].

Aksoy, Yigit ;

Pakdemirli, Mehmet ;

Abbasbandy, Saeid ;

Boyaci, Hakan .

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2012, 22 (6-7) :814-828

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

Aksoy, Yigit ;

Pakdemirli, Mehmet .

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

[4] The solution of multipoint boundary value problems by the Optimal Homotopy Asymptotic Method [J].

Ali, Javed ;

Islam, S. ;

Islam, Sirajul ;

Zaman, Gul .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) :2000-2006

[5]

Atangana A., 2012, J EARTH SCI CLIMATIC, V3, DOI [10.4172/2157-7617.1000115, DOI 10.4172/2157-7617.1000115]

[6] Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method [J].

Atangana, Abdon ;

Belhaouari, Samir Brahim .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013

[7]

Bayram M, 2012, INT J APPL MATH RES, V1, P288

[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

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