Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition

被引：133

作者：

Jafari, Hossein ^{[1
]}

Daftardar-Gejji, Varsha ^{[1
]}

机构：

[1] Univ Poona, Dept Math, Pune 411007, Maharashtra, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 180卷 / 02期

关键词：

fractional partial differential equation; fractional diffusion equation; fractional wave equation; Adomian decomposition; Adomian polynomials; Caputo fractional derivative;

D O I：

10.1016/j.amc.2005.12.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Adomian decomposition method has been used to obtain solutions of linear/nonlinear fractional diffusion and wave equations. Some illustrative examples have been presented. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：488 / 497

页数：10

共 50 条

[31] Multistage Adomian Decomposition Method for Solving NLP Problems Over a Nonlinear Fractional Dynamical System
Evirgen, Firat
Ozdemir, Necati
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2011, 6 (02):
[32] Adomian decomposition method for solving two-dimensional nonlinear Volterra fuzzy integral equations
Alidema, Artan
Georgieva, Atanaska
PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE "APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS", 2018, 2048
[33] Solutions of nonlinear fractional integro - differential equations by combined sumudu transform with adomian decomposition approach
Hussein, Qays Jasem
Altaie, Huda Omran
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2023, 26 (07) : 1665 - 1670
[34] Rectangular decomposition method for fractional diffusion-wave equations
Odibat, Zaid M.
APPLIED MATHEMATICS AND COMPUTATION, 2006, 179 (01) : 92 - 97
[35] An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method
E. Babolian
A. R. Vahidi
A. Shoja
Indian Journal of Pure and Applied Mathematics, 2014, 45 : 1017 - 1028
[36] Study of a Nonlinear System of Fractional Differential Equations with Deviated Arguments Via Adomian Decomposition Method
Afreen A.
Raheem A.
International Journal of Applied and Computational Mathematics, 2022, 8 (5)
[37] New Local Fractional Mohand-Adomian Decomposition Method for Solving Nonlinear Fractional Burger's Type Equation
Ul Haq, Ihtisham
Akgul, Ali
Ullah, Zahid
JOURNAL OF MATHEMATICS, 2024, 2024
[38] Solution of nonlinear fractional partial differential equations by Shehu transform and Adomian decomposition method (STADM)
Singh, Amandeep
Pippal, Sarita
INTERNATIONAL JOURNAL OF MATHEMATICS FOR INDUSTRY, 2024, 16 (SUPP01):
[39] An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method
Babolian, E.
Vahidi, A. R.
Shoja, A.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2014, 45 (06): : 1017 - 1028
[40] Generalized Laplace Transform with Adomian Decomposition Method for Solving Fractional Differential Equations Involving ψ-Caputo Derivative
Alsulami, Mona
Al-Mazmumy, Mariam
Alyami, Maryam Ahmed
Alsulami, Asrar Saleh
MATHEMATICS, 2024, 12 (22)

← 1 2 3 4 5 →