Solving Fractional Partial Differential Equation by Using Wavelet Operational Method

被引：0
|
作者：
Neamaty, A. [1 ]
Agheli, B. [1 ]
Darzi, R. [2 ]
机构：
[1] Univ Mazandaran, Dept Math, Babol Sar, Iran
[2] Islamic Azad Univ, Dept Math, Neka Branch, Neka, Iran
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2013年 / 7卷 / 04期
关键词：
Operational matrix; Fractional partial differential equation; Haar wavelets; Numerical method;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use a method based on the operational matrices to the solution of the fractional partial differential equations. The main approach is based on the operational matrices of the Haar wavelets to obtain the algebraic equations. The fractional derivatives are described in Caputo sense. Some examples are included to demonstrate the validity and applicability of the techniques.
引用
收藏
页码：230 / 240
页数：11
相关论文
共 50 条
  • [1] A wavelet operational method for solving fractional partial differential equations numerically
    Wu, J. L.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (01) : 31 - 40
  • [2] Solving fractional partial differential equations by using the second Chebyshev wavelet operational matrix method
    Li Zhu
    Yanxin Wang
    Nonlinear Dynamics, 2017, 89 : 1915 - 1925
  • [3] Solving fractional partial differential equations by using the second Chebyshev wavelet operational matrix method
    Zhu, Li
    Wang, Yanxin
    NONLINEAR DYNAMICS, 2017, 89 (03) : 1915 - 1925
  • [4] Haar wavelet operational matrix method for solving fractional partial differential equations
    Yi, M., 1600, Tech Science Press (88):
  • [5] Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations
    Yi, Mingxu
    Chen, Yiming
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2012, 88 (03): : 229 - 243
  • [6] Block pulse operational matrix method for solving fractional partial differential equation
    Yi, Mingxu
    Huang, Jun
    Wei, Jinxia
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 121 - 131
  • [7] Wavelet operational matrix method for solving the Riccati differential equation
    Li, Yuanlu
    Sun, Ning
    Zheng, Bochao
    Wang, Qi
    Zhang, Yingchao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (03) : 483 - 493
  • [8] Extended Legendre Wavelet Method for Solving Fractional Order Time Hyperbolic Partial Differential Equation
    Gupta S.
    Thakur B.
    International Journal of Applied and Computational Mathematics, 2023, 9 (3)
  • [9] Jacobi wavelet operational matrix of fractional integration for solving fractional integro-differential equation
    Rong, Loh Jian
    Chang, Phang
    2015 INTERNATIONAL CONFERENCE ON MATHEMATICS, ITS APPLICATIONS, AND MATHEMATICS EDUCATION (ICMAME 2015), 2016, 693
  • [10] An approximate method for solving fractional partial differential equation by using an embedding process
    Ziaei, E.
    Farahi, M. H.
    Ahmadian, A.
    Senu, N.
    Salahshour, S.
    3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS, 2018, 1132
12345