A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method

被引：117

作者：

Abbasbandy, S. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Fac Sci, Ghazvin 34194, Iran

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 31卷 / 01期

关键词：

D O I：

10.1016/j.chaos.2005.10.071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, Adomian's decomposition method is proposed to solve the well-known Blasius equation. Comparison with homotopy perturbation method and Howarth's numerical solution reveals that the Adomian's decomposition method is of high accuracy. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：257 / 260

页数：4

共 50 条

[21] On Numerical Solutions of Two-Dimensional Boussinesq Equations by Using Adomian Decomposition and He's Homotopy Perturbation Method
Mohyud-Din, Syed Tauseef
Inc, Mustafa
Cavlak, Ebru
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, : 1 - 11
[22] He's homotopy perturbation method for calculating adomian polynomials
Ghorbani, Asghar
Saberi-Nadjafi, Jafar
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (02) : 229 - 232
[23] The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method
Sakar, Mehmet Giyas
Erdogan, Fevzi
APPLIED MATHEMATICAL MODELLING, 2013, 37 (20-21) : 8876 - 8885
[24] Homotopy Perturbation Pade Transform Method for Blasius Flow Equation Using He's Polynomials
Khan, Majid
Gondal, Muhammad Asif
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2011, 12 (1-8) : 1 - 7
[25] Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
Panda, A.
Santra, S.
Mohapatra, J.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (03) : 2065 - 2082
[26] Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
A. Panda
S. Santra
J. Mohapatra
Journal of Applied Mathematics and Computing, 2022, 68 : 2065 - 2082
[27] SOLUTION OF THE HYPERBOLIC KEPLER EQUATION BY ADOMIAN'S ASYMPTOTIC DECOMPOSITION METHOD
Aljohani, Abdulrahman F.
Rach, Randolph
El-Zahar, Essam
Wazwaz, Abdul-Majid
Ebaid, Abdelhalim
ROMANIAN REPORTS IN PHYSICS, 2018, 70 (02)
[28] Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
Liang, Songxin
Jeffrey, David J.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (12) : 4057 - 4064
[29] A numerical solution of Burgers' equation by modified Adomian method
Abbasbandy, S
Darvishi, MT
APPLIED MATHEMATICS AND COMPUTATION, 2005, 163 (03) : 1265 - 1272
[30] Comments on "He's Homotopy Perturbation Method for Calculating Adomian Polynomials''
Jafari, H.
Ghasempour, S.
Khalique, C. M.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2013, 14 (06) : 339 - 343

← 1 2 3 4 5 →