Solving fractional integral equations by the Haar wavelet method

被引：111
|
作者：
Lepik, Ue. [1 ]
机构：
[1] Univ Tartu, Dept Appl Math, EE-50409 Tartu, Estonia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 214卷 / 02期
关键词：
Fractional calculus; Haar wavelets; Integral equations; Fractional vibrations; NUMERICAL-SOLUTION; DYNAMICS;
D O I：
10.1016/j.amc.2009.04.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Haar wavelets for the solution of fractional integral equations are applied. Fractional Volterra and Fredholm integral equations are considered. The proposed method also is used for analysing fractional harmonic vibrations. The efficiency of the method is demonstrated by three numerical examples. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：468 / 478
页数：11
相关论文
共 50 条
  • [1] AN OPERATIONAL HAAR WAVELET METHOD FOR SOLVING FRACTIONAL VOLTERRA INTEGRAL EQUATIONS
    Saeedi, Habibollah
    Mollahasani, Nasibeh
    Moghadam, Mahmoud Mohseni
    Chuev, Gennady N.
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (03) : 535 - 547
  • [2] Haar wavelet method for solving fractional partial differential equations numerically
    Wang, Lifeng
    Ma, Yunpeng
    Meng, Zhijun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 : 66 - 76
  • [3] A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method
    Abdollahi, Zohreh
    Moghadam, M. Mohseni
    Saeedi, H.
    Ebadi, M. J.
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (07) : 1488 - 1504
  • [4] Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations
    Yi, Mingxu
    Chen, Yiming
    [J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2012, 88 (03): : 229 - 243
  • [5] Haar Wavelet Method for the System of Integral Equations
    Zedan, Hassan A.
    Alaidarous, Eman
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] Application of the Haar wavelet transform to solving integral and differential equations
    Lepik, Uelo
    [J]. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES-PHYSICS MATHEMATICS, 2007, 56 (01): : 28 - 46
  • [7] Using rationalized Haar wavelet for solving linear integral equations
    Maleknejad, K
    Mirzaee, F
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 160 (02) : 579 - 587
  • [8] Haar Wavelet Technique for Solving Fractional Differential Equations with An Application
    Mechee, Mohammed S.
    Al-Shaher, Oday I.
    Al-Juaifri, Ghassan A.
    [J]. INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2018), 2019, 2086
  • [9] Haar Wavelet Method for Solving Stiff Differential Equations
    Lepik, Ue.
    [J]. MATHEMATICAL MODELLING AND ANALYSIS, 2009, 14 (04) : 467 - 481
  • [10] The use of rationalized Haar wavelet collocation method for solving optimal control of Volterra integral equations
    Maleknejad, Khosrow
    Ebrahimzadeh, Asyieh
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2015, 21 (10) : 1958 - 1967
12345