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
收藏
页码：488 / 497
页数：10
相关论文
共 50 条
  • [41] A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order
    Eftekhari, Tahereh
    Hosseini, Seyed Mohammad
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (06):
  • [42] A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order
    Tahereh Eftekhari
    Seyed Mohammad Hosseini
    Computational and Applied Mathematics, 2022, 41
  • [43] Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations
    Laoubi, Marwa
    Odibat, Zaid
    Maayah, Banan
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2023, 18 (02):
  • [44] Solution of a system of nonlinear equations by Adomian decomposition method
    Babolian, E
    Biazar, J
    Vahidi, AR
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (03) : 847 - 854
  • [45] Solving protoplanetary structure equations using Adomian decomposition method
    Paul, Gour Chandra
    Khatun, Shahinur
    Nuruzzaman, Md
    Kumar, Dipankar
    Ali, Md Emran
    Bilkis, Farjana
    Barman, Mrinal Chandra
    HELIYON, 2021, 7 (10)
  • [46] Solution of nonlinear equations by modified adomian decomposition method
    Babolian, E
    Biazar, J
    APPLIED MATHEMATICS AND COMPUTATION, 2002, 132 (01) : 167 - 172
  • [47] Application of Adomian Decomposition Method for Solving Impulsive Differential Equations
    Hossainzadeh, H.
    Afrouzi, G. A.
    Yazdani, A.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2011, 2 (04): : 672 - 681
  • [48] Solving nonlinear fractional differential equation using a multi-step Laplace Adomian decomposition method
    Zurigat, Mohammad
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2012, 39 (02): : 200 - 210
  • [49] AN ADOMIAN DECOMPOSITION METHOD FOR SOLVING LIENARD EQUATIONS IN GENERAL FORM
    Ahmadabadi, M. Nili
    Ghaini, F. M. Maalek
    ANZIAM JOURNAL, 2009, 51 (02): : 302 - 308
  • [50] Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method
    Bougoffa, Lazhar
    Rach, Randolph C.
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 50 - 61
12345