A computational method based on hybrid of Bernstein and block-pulse functions for solving linear fuzzy Fredholm integral equations system

被引:3
|
作者
Mirzaee, Farshhid [1 ]
Yari, Mohammad Komak [1 ]
Hoseini, Seyede Fatemeh [1 ]
机构
[1] Malayer Univ, Fac Sci, Dept Math, Malayer, Iran
来源
关键词
Fuzzy number; Fredholm fuzzy integral equation system; Block-pulse functions; Bernstein polynomials; Hybrid functions;
D O I
10.1016/j.jtusci.2014.07.008
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper deals with the solutions of linear fuzzy Fredholm integral equation systems by using a combination of Bernstein and block-pulse functions on the interval [0, 1), that is called hybrid functions. Moreover, the existence of the solution and convergence of the proposed method is proved. Finally, illustrative examples are included in order to demonstrate the accuracy and the convergence of this method. (C) 2014 Taibah University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/).
引用
收藏
页码:252 / 263
页数:12
相关论文
共 50 条
  • [1] Hybrid Orthonormal Bernstein and Block-Pulse Functions for Solving Fredholm Integral Equations
    Maleknejad, Khosrow
    Mohsenyzadeh, MohammadReza
    Hashemizadeh, Elham
    [J]. WORLD CONGRESS ON ENGINEERING - WCE 2013, VOL I, 2013, : 91 - 94
  • [2] A Combination of Bernstein and Improved Block-Pulse Functions for Solving a System of Linear Fredholm Integral Equations
    He, Ji-Huan
    Taha, Mahmoud H.
    Ramadan, Mohamed A.
    Moatimid, Galal M.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [3] A Combination of Bernstein and Improved Block-Pulse Functions for Solving a System of Linear Fredholm Integral Equations
    He, Ji-Huan
    Taha, Mahmoud H.
    Ramadan, Mohamed A.
    Moatimid, Galal M.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [4] Application of Hybrid Bernstein Polynomials and Block-Pulse Functions for Solving Nonlinear Fuzzy Fredholm Integral Equations
    Baghmisheh, Mahdi
    Ezzati, Reza
    [J]. FUZZY INFORMATION AND ENGINEERING, 2023, 15 (01) : 69 - 86
  • [5] Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions
    Hesameddini, Esmail
    Shahbazi, Mehdi
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 315 : 182 - 194
  • [6] A numerical method based on hybrid orthonormal Bernstein and improved block-pulse functions for solving Volterra-Fredholm integral equations
    Ramadan, Mohamed A.
    Osheba, Heba S.
    Hadhoud, Adel R.
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (01) : 268 - 280
  • [7] Block-Pulse Functions in the Method of Successive Approximations for Nonlinear Fuzzy Fredholm Integral Equations
    Ziari, Shokrollah
    Perfilieva, Irina
    Abbasbandy, Saeid
    [J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 30 (04) : 995 - 1009
  • [8] Block-Pulse Functions in the Method of Successive Approximations for Nonlinear Fuzzy Fredholm Integral Equations
    Shokrollah Ziari
    Irina Perfilieva
    Saeid Abbasbandy
    [J]. Differential Equations and Dynamical Systems, 2022, 30 : 995 - 1009
  • [9] Fuzzy Block-Pulse Functions and Its Application to Solve Linear Fuzzy Fredholm Integral Equations of the Second Kind
    Ziari, Shokrollah
    Ezzati, Reza
    [J]. INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, IPMU 2016, PT II, 2016, 611 : 821 - 832
  • [10] Hybrid functions of Bernstein polynomials and block-pulse functions for solving optimal control of the nonlinear Volterra integral equations
    Mirzaee, Farshid
    Hoseini, Seyede Fatemeh
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2016, 27 (03): : 835 - 849