Comparing Homotopy Perturbation Method and Adomian Decomposition Method

被引：0

作者：

Biazar, Jafar ^{[1
]}

Ayati, Zainab ^{[1
]}

Ebrahimi, Hamideh ^{[1
]}

机构：

[1] Guilan Univ, Fac Sci, Dept Math, Rasht 41938, Iran

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS | 2008年 / 1048卷

关键词：

Homotopy perturbation method; Adomian decomposition method; functional equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, homotopy perturbation method and Adomian decomposition method, as two well known methods, for solving functional equations are compared. It has been shown that these two methods are the same, for solving special equations. For illustration and more explanation of the idea, two examples are provided.

引用

页码：80 / 86

页数：7

共 50 条

[21] Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method
Biazar, J.
Porshokuhi, M. Gholami
Ghanbari, B.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (02) : 622 - 628
[22] Optical soliton perturbation with Kerr law nonlinearity by Adomian decomposition method
Biswas, Anjan
Asma, Mir
Alqahtani, Rubayyi T.
OPTIK, 2018, 168 : 253 - 270
[23] Comparison of homotopy perturbation method and homotopy analysis method
He, JH
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) : 527 - 539
[24] Comparing the Adomian decomposition method and the Runge-Kutta method for solutions of the Stefan problem
Grzymkowski, Radoslaw
Pleszczynski, Mariusz
Slota, Damian
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2006, 83 (04) : 409 - 417
[25] The homotopy analysis method for solving the Fornberg-Whitham equation and comparison with Adomian's decomposition method
Abidi, Faycal
Omrani, Khaled
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) : 2743 - 2750
[26] Comparison Between Adomian Decomposition Method and Optimal Homotopy Asymptotic Method for a Two Moving Boundaries Problem
Rajeev
Kushwaha, Mohan Singh
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (02) : 431 - 446
[27] Comparison Between Adomian Decomposition Method and Optimal Homotopy Asymptotic Method for a Two Moving Boundaries Problem
Mohan Singh Rajeev
Differential Equations and Dynamical Systems, 2020, 28 : 431 - 446
[28] Homotopy perturbation method coupled with the enhanced perturbation method
Li, Xiao-Xia
He, Chun-Hui
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) : 1399 - 1403
[29] An algorithm for Adomian decomposition method
Chen, WH
Lu, ZY
APPLIED MATHEMATICS AND COMPUTATION, 2004, 159 (01) : 221 - 235
[30] Exact solutions of Laplace equation by homotopy-perturbation and Adomian decomposition methods
Sadighi, A.
Ganji, D. D.
PHYSICS LETTERS A, 2007, 367 (1-2) : 83 - 87

← 1 2 3 4 5 →