Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method

被引：23

作者：

Biazar, J. ^{[2
]}

Porshokuhi, M. Gholami ^{[1
]}

Ghanbari, B. ^{[2
]}

机构：

[1] Islamic Azad Univ, Fac Sci, Dept Math, Tehran, Iran

[2] Guilan Univ, Fac Sci, Dept Math, Rasht, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 02期

关键词：

Linear and nonlinear operators; Adomian decomposition method; Adomian polynomials; The variational iteration method; EQUATIONS; BURGERS; CONVERGENCE;

D O I：

10.1016/j.camwa.2009.11.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a new form of Adomian decomposition method (ADM) is presented; by this form a general iterative method can be achieved in which there is no need of calculating Adomian polynomials. Also, this general iterative method is compared with the Adomian decomposition method and variational iteration method (VIM) and its advantages are expressed. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.

引用

页码：622 / 628

页数：7

共 50 条

[21] Fractional Variational Iteration Method and Adomian's Decomposition Method: Applications to Fractional Burgers Kuramoto KdV Equation via Hadamard Derivative
Hichem, Djeriba
Kacem, Belghaba
[J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2021, 12 (02): : 241 - 251
[22] A New Method for Calculating General Lagrange Multiplier in the Variational Iteration Method
Jafari, Hossein
Alipoor, Abbas
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 27 (04) : 996 - 1001
[23] ON ADOMIAN DECOMPOSITION METHOD AND SOME COMPARISONS WITH PICARD ITERATIVE SCHEME
BELLOMO, N
SARAFYAN, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 123 (02) : 389 - 400
[24] Comparing the Adomian decomposition method and the Runge-Kutta method for solutions of the Stefan problem
Grzymkowski, Radoslaw
Pleszczynski, Mariusz
Slota, Damian
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2006, 83 (04) : 409 - 417
[25] Solution of Fractional Vibration Equation by the Variational Iteration Method and Modified Decomposition Method
Das, S.
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2008, 9 (04) : 361 - 366
[26] ON THE ADOMIAN (DECOMPOSITION) METHOD AND COMPARISONS WITH PICARDS METHOD
RACH, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 128 (02) : 480 - 483
[27] On the variational iteration method
Abdou, M. A.
[J]. PHYSICS LETTERS A, 2007, 366 (1-2) : 61 - 68
[28] Application of He's Variational Iteration Method and Adomian's Decomposition Method to Sawada-Kotera-Ito Seventh-Order Equation
Ganji, Davood Domiri
Safari, Mehdi
Ghayor, Reza
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 27 (04) : 887 - 897
[29] An iterative method for general mixed variational inequalities
Noor, MA
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (2-3) : 171 - 176
[30] Application of the General Variational Iteration Method to a Nonlinear System
Lotfavar, A.
Rafieipour, H.
Latifizadeh, H.
[J]. WORLD CONGRESS ON ENGINEERING, WCE 2011, VOL I, 2011, : 182 - 185

← 1 2 3 4 5 →