The Legendre wavelet method for solving fractional differential equations

被引：188
|
作者：
Rehman, Mujeeb Ur [1 ]
Khan, Rahmat Ali [2 ]
机构：
[1] NUST, Ctr Adv Math & Phys, Sector H 12, Islamabad, Pakistan
[2] Univ Malakand, Chakdara Dir L, Khyber Pakhutoo, Pakistan
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 11期
关键词：
Fractional differential equations; Operational matrices; Legendre wavelets; BOUNDARY-VALUE PROBLEM; NUMERICAL-SOLUTION; OPERATIONAL MATRIX; INTEGRAL-EQUATIONS;
D O I：
10.1016/j.cnsns.2011.01.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fractional differential equations are solved using the Legendre wavelets. An operational matrix of fractional order integration is derived and is utilized to reduce the fractional differential equations to system of algebraic equations. The illustrative examples are provided to demonstrate the applicability, simplicity of the numerical scheme based on the Legendre. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：4163 / 4173
页数：11
相关论文
共 50 条
  • [1] A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations
    Mohammadi, Fakhrodin
    Cattani, Carlo
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 : 306 - 316
  • [2] Legendre wavelet method for fractional delay differential equations
    Yuttanan, Boonrod
    Razzaghi, Mohsen
    Vo, Thieu N.
    [J]. APPLIED NUMERICAL MATHEMATICS, 2021, 168 : 127 - 142
  • [3] LEGENDRE WAVELET OPERATIONAL MATRIX METHOD FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS IN SOME SPECIAL CONDITIONS
    Secer, Aydin
    Altun, Selvi
    Bayram, Mustafa
    [J]. THERMAL SCIENCE, 2019, 23 : S203 - S214
  • [4] The Legendre Wavelet Method for Solving Singular Integro-differential Equations
    Aghazadeh, Naser
    Atani, Y. Gholizade
    Noras, P.
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2014, 2 (02): : 62 - 68
  • [5] A LEGENDRE WAVELET COLLOCATION METHOD FOR SOLVING NEUTRAL DELAY DIFFERENTIAL EQUATIONS
    Ahmed, Uzair
    Faheem, Mo
    Khan, Arshad
    Manchanda, Geetan
    [J]. MISKOLC MATHEMATICAL NOTES, 2024, 25 (01) : 35 - 48
  • [6] Legendre wavelets method for solving fractional integro-differential equations
    Meng, Zhijun
    Wang, Lifeng
    Li, Hao
    Zhang, Wei
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (06) : 1275 - 1291
  • [7] Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations
    Heydari, M. H.
    Hooshmandasl, M. R.
    Ghaini, F. M. Maalek
    Mohammadi, F.
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [8] Application of Legendre wavelets for solving fractional differential equations
    Jafari, H.
    Yousefi, S. A.
    Firoozjaee, M. A.
    Momani, S.
    Khalique, C. M.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1038 - 1045
  • [9] Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-differential equations
    Singh, Abhishek Kumar
    Mehra, Mani
    [J]. JOURNAL OF COMPUTATIONAL SCIENCE, 2021, 51
  • [10] The Muntz-Legendre Wavelet Collocation Method for Solving Weakly Singular Integro-Differential Equations with Fractional Derivatives
    Bin Jebreen, Haifa
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (10)
12345