A Hybrid Function Approach to Solving a Class of Fredholm and Volterra Integro-Differential Equations

被引：3
|
作者：
Hosry, Aline [1 ]
Nakad, Roger [2 ]
Bhalekar, Sachin [3 ,4 ]
机构：
[1] Lebanese Univ, Fac Sci 2, Dept Math, Fanar POB 90656, El Metn, Lebanon
[2] Notre Dame Univ Louaize, Fac Nat & Appl Sci, Dept Math & Stat, Zouk Mikael POB 72, Zouk Mosbeh, Lebanon
[3] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India
[4] Univ Hyderabad, Sch Math & Stat, Hyderabad 500046, India
来源：
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2020年 / 25卷 / 02期
关键词：
hybrid and block-pulse functions; Fredholm and Volterra integro-differential equations; VARIATIONAL ITERATION METHOD; INTEGRAL-EQUATIONS; BLOCK-PULSE; STABILITY; SYSTEM;
D O I：
10.3390/mca25020030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential equations. The key point is to derive a new approximation for the derivatives of the solutions and then reduce the integro-differential equation to a system of algebraic equations that can be solved using classical methods. Some numerical examples are dedicated for showing the efficiency and validity of the method that we introduce.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Evolutionary computational intelligence in solving a class of nonlinear Volterra-Fredholm integro-differential equations
    Kashkaria, Bothayna S. H.
    Syam, Muhammed I.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 311 : 314 - 323
  • [2] A NEW ADOMIAN APPROACH FOR SOLVING PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS SECOND KIND OF FREDHOLM AND VOLTERRA
    Nebie, Abdoul Wassiha
    Pare, Youssouf
    Yaro, Rasmane
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2020, 22 (01): : 39 - 66
  • [3] An operational matrix method for solving linear Fredholm Volterra integro-differential equations
    Yuzbasi, Suayip
    Ismailov, Nurbol
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (01) : 243 - 256
  • [4] An Operational Matrix Method for Solving Delay Fredholm and Volterra Integro-Differential Equations
    Shahmorad, Sedaghat
    Ostadzad, Mohammad Hossein
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2016, 13 (06)
  • [5] APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
    Behzadi, Sh. S.
    Abbasbandy, S.
    Allahviranloo, T.
    Yildirim, A.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2012, 2 (02): : 127 - 136
  • [6] An algorithm for solving Fredholm integro-differential equations
    Pittaluga, Giovanna
    Sacripante, Laura
    NUMERICAL ALGORITHMS, 2009, 50 (02) : 115 - 126
  • [7] An algorithm for solving Fredholm integro-differential equations
    Giovanna Pittaluga
    Laura Sacripante
    Numerical Algorithms, 2009, 50 : 115 - 126
  • [8] Numerical solution for Fredholm and Volterra integro-differential equations
    Nadir, Mohamed Raid
    Jawahdow, Adel
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2025, 64 : 1 - 11
  • [9] EXPANSION APPROACH FOR SOLVING NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
    Rashidinia, J.
    Tahmasebi, A.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 5 (01): : 14 - 27
  • [10] A collocation approach for solving high-order linear Fredholm-Volterra integro-differential equations
    Yuzbasi, Suayip
    Sahin, Niyazi
    Yildirim, Ahmet
    MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 547 - 563
12345