Analytical and numerical study for an integro-differential nonlinear Volterra equation

被引:16
|
作者
Guebbai, H. [1 ]
Aissaoui, M. Z. [1 ]
Debbar, I. [1 ]
Khalla, B. [1 ]
机构
[1] Univ 8 Mai 1945 Guelma, Fac Math & Informat & Sci Mat, Lab Math Appl & Modelisat, Guelma 24000, Algeria
关键词
Volterra equation; Integro-differential; Fix point; Nonlinear equation; Nystrom method;
D O I
10.1016/j.amc.2013.12.046
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work we study the solution's existence and uniqueness for an integro-differential nonlinear Volterra equation and then we approximate the solution of this equation by using Nystrom method. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:367 / 373
页数:7
相关论文
共 50 条
  • [21] Numerical Solution on Neutral Delay Volterra Integro-Differential Equation
    Nur Inshirah Naqiah Ismail
    Zanariah Abdul Majid
    Bulletin of the Malaysian Mathematical Sciences Society, 2024, 47
  • [22] ANALYSIS OF A NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATION
    Aissaoui, M. Z.
    Bounaya, M. C.
    Guebbai, H.
    QUAESTIONES MATHEMATICAE, 2022, 45 (02) : 307 - 325
  • [23] Analysis of a nonlinear singularly perturbed Volterra integro-differential equation
    Sumit, Sunil
    Kumar, Sunil
    Vigo-Aguiar, Jesus
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 404
  • [24] Numerical solution of a singularly perturbed Volterra integro-differential equation
    Sebaheddin Şevgin
    Advances in Difference Equations, 2014
  • [25] Numerical solution of a singularly perturbed Volterra integro-differential equation
    Sevgin, Sebaheddin
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [26] New approximation method for Volterra nonlinear integro-differential equation
    Segni, Sami
    Ghiat, Mourad
    Guebbai, Hamza
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (01)
  • [27] NUMERICAL-METHODS FOR NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
    FELDSTEIN, A
    SOPKA, JR
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (04) : 826 - 846
  • [28] Quasilinearization and Numerical Solution of Nonlinear Volterra Integro-differential Equations
    Rasoulizadeh, M. N.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 4 (04): : 542 - 553
  • [29] Numerical Solution of the System of Nonlinear Volterra Integro-differential Equations
    Ebadi, G.
    Rahimi-Ardabili, M. Y.
    Shahmorad, S.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2009, 33 (05) : 835 - 846
  • [30] NUMERICAL ANALYSIS OF A NONLINEAR SINGULARLY PERTURBED DELAY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION ON AN ADAPTIVE GRID
    Liu, Libin
    Chen, Yanping
    Liang, Ying
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2022, 40 (02): : 259 - 275