Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method

被引：107
|
作者：
Daftardar-Gejji, Varsha [1 ]
Bhalekar, Sachin [1 ]
机构：
[1] Univ Poona, Dept Math, Pune 411007, Maharashtra, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 202卷 / 01期
关键词：
Caputo derivative; fractional boundary value problems; Mittag-Leffler function; Adomian decomposition; Adomian polynomials;
D O I：
10.1016/j.amc.2008.01.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Multi-term linear and non-linear diffusion-wave equations of fractional order are solved using Adomian decomposition method. Some numerical examples are presented. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：113 / 120
页数：8
相关论文
共 50 条
  • [41] Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations
    Safari, Farzaneh
    Chen, Wen
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (05) : 1594 - 1607
  • [42] Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations
    Du, Rui-lian
    Sun, Zhi-zhong
    NUMERICAL ALGORITHMS, 2021, 88 (01) : 191 - 226
  • [43] Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations
    Rui-lian Du
    Zhi-zhong Sun
    Numerical Algorithms, 2021, 88 : 191 - 226
  • [44] A fast difference scheme for the multi-term time fractional advection-diffusion equation with a non-linear source term
    Dwivedi, Himanshu Kumar
    Rajeev
    CHINESE JOURNAL OF PHYSICS, 2024, 89 : 86 - 103
  • [45] ANALYSIS OF FRACTIONAL NON-LINEAR DIFFUSION BEHAVIORS BASED ON ADOMIAN POLYNOMIALS
    Wu, Guo-Cheng
    Baleanu, Dumitru
    Luo, Wei-Hua
    THERMAL SCIENCE, 2017, 21 (02): : 813 - 817
  • [46] A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations
    Esen, A.
    Tasbozan, O.
    Ucar, Y.
    Yagmurlu, N. M.
    TBILISI MATHEMATICAL JOURNAL, 2015, 8 (02) : 181 - 193
  • [47] Application of the homotopy perturbation method for solving second-order non-linear wave equations
    Janalizatieh, A.
    Barari, A.
    Ganji, D. D.
    ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
  • [48] Sumudu transform method for solving fractional differential equations and fractional Diffusion-Wave equation
    Darzi, Rahmat
    Mohammadzade, Bahar
    Mousavi, Sahar
    Beheshti, Rozita
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2013, 6 (01): : 79 - 84
  • [49] AN ITERATIVE METHOD WITH TWELFTH ORDER CONVERGENCE FOR SOLVING NON-LINEAR EQUATIONS
    Mylapalli, Mani Sandeep Kumar
    Palli, Rajesh Kumar
    Vatti, Veera Basava Kumar
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 20 (08): : 1633 - 1643
  • [50] Fractional order continuity of a time semi-linear fractional diffusion-wave system
    Nguyen Duc Phuong
    Luu Vu Cam Hoan
    Karapinar, Erdal
    Singh, Jagdev
    Ho Duy Binh
    Nguyen Huu Can
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (06) : 4959 - 4968
12345