Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space

被引:1
|
作者
Zhang, Xiaoli [1 ,2 ]
Zhang, Haolu [3 ]
Jia, Lina [2 ]
Wang, Yulan [2 ]
Zhang, Wei [1 ]
机构
[1] Jining Normal Univ, Inst Econ & Management, Jining 012000, Inner Mongolia, Peoples R China
[2] Inner Mongolia Univ Technol, Dept Math, Hohhot 010051, Peoples R China
[3] Inner Mongolia Univ Technol, Sch Civil Engn, Hohhot 010051, Peoples R China
关键词
BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATIONS; COLLOCATION METHOD;
D O I
10.1155/2020/1794975
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM). Compared with other methods, numerical results show the reliability of the present method.
引用
收藏
页数:9
相关论文
共 50 条
  • [31] An efficient numerical scheme in reproducing kernel space for space fractional partial differential equations
    Liu, Boyu
    Wang, Wenyan
    AIMS MATHEMATICS, 2024, 9 (11): : 33286 - 33300
  • [32] A Numerical Method for the Solution of the Time-Fractional Diffusion Equation
    Ferras, Luis L.
    Ford, Neville J.
    Morgado, Maria L.
    Rebelo, Magda
    COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2014, PT 1, 2014, 8579 : 117 - 131
  • [33] Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations
    Li, Zhiyuan
    Wang, Meichun
    Wang, Yulan
    Pang, Jing
    ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
  • [34] THE PIECEWISE REPRODUCING KERNEL METHOD FOR THE TIME VARIABLE FRACTIONAL ORDER ADVECTION-REACTION-DIFFUSION EQUATIONS
    Dai, Dan-Dan
    Ban, Ting-Ting
    Wang, Yu-Lan
    Zhang, Wei
    THERMAL SCIENCE, 2021, 25 (02): : 1261 - 1268
  • [35] Numerical Solution of Fractional Bratu Type Equations with Legendre Reproducing Kernel Method
    Sakar M.G.
    Saldır O.
    Akgül A.
    International Journal of Applied and Computational Mathematics, 2018, 4 (5)
  • [36] Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space
    Arshad, Sadia
    Wali, Mubashara
    Huang, Jianfei
    Khalid, Sadia
    Akbar, Nosheen
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (05) : 3295 - 3316
  • [37] Legendre Wavelets Direct Method for the Numerical Solution of Time-Fractional Order Telegraph Equations
    Xiaoyong Xu
    Da Xu
    Mediterranean Journal of Mathematics, 2018, 15
  • [38] Legendre Wavelets Direct Method for the Numerical Solution of Time-Fractional Order Telegraph Equations
    Xu, Xiaoyong
    Xu, Da
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (01)
  • [39] Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space
    Sadia Arshad
    Mubashara Wali
    Jianfei Huang
    Sadia Khalid
    Nosheen Akbar
    Journal of Applied Mathematics and Computing, 2022, 68 : 3295 - 3316
  • [40] APPLICATION OF REPRODUCING KERNEL ALGORITHM FOR SOLVING DIRICHLET TIME-FRACTIONAL DIFFUSION-GORDON TYPES EQUATIONS IN POROUS MEDIA
    Abu Arqub, Omar
    Shawagfeh, Nabil
    JOURNAL OF POROUS MEDIA, 2019, 22 (04) : 411 - 434