Second-order numerical method for a neutral Volterra integro-differential equation

被引：1
|
作者：
Amirali, Ilhame [1 ]
Fedakar, Burcu [1 ]
Amiraliyev, Gabil M. [2 ]
机构：
[1] Duzce Univ, Fac Arts & Sci, Dept Math, TR-81620 Duzce, Turkiye
[2] Pasa Neighborhood, Millet St,8-9, TR-34377 Istanbul, Turkiye
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2025年 / 453卷
关键词：
Neutral Volterra integro-differential equation; Finite difference scheme; Uniform convergence; Error analysis;
D O I：
10.1016/j.cam.2024.116160
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is dedicated to obtaining an approximate solution for a neutral second-order Volterra integro-differential equation. Our method is the second-order accurate finite difference scheme on a uniform mesh. The error analysis is carried out and numerical results are given to support the proposed approach.
引用
收藏
页数：8
相关论文
共 50 条
  • [41] Asymptotic stability of two classes of second-order integro-differential equations of Volterra type
    Iskandarov, S.
    DIFFERENTIAL EQUATIONS, 2008, 44 (07) : 909 - 922
  • [42] Research of a multistep method applied to numerical solution of volterra integro-differential equation
    Imanova, M.
    Mehdiyeva, G.
    Ibrahimov, V.
    World Academy of Science, Engineering and Technology, 2010, 70 : 267 - 270
  • [43] A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation
    Chen, Jian
    Huang, Yong
    Rong, Haiwu
    Wu, Tingting
    Zeng, Taishan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 290 : 633 - 640
  • [44] Research of a multistep method applied to numerical solution of volterra integro-differential equation
    Imanova, M.
    Mehdiyeva, G.
    Ibrahimov, V.
    World Academy of Science, Engineering and Technology, 2010, 69 : 267 - 270
  • [45] Algorithms for the solution of second order Volterra integro-differential equations
    1600, (22):
  • [46] REACHABILITY OF A SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATION ON RIEMANNIAN MANIFOLD FOR A VISCOELASTICITY MODEL
    Zhou, Kang
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
  • [47] Analytical and numerical study for an integro-differential nonlinear Volterra equation
    Guebbai, H.
    Aissaoui, M. Z.
    Debbar, I.
    Khalla, B.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 367 - 373
  • [48] A NUMERICAL APPROACH FOR SOLVING VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATION
    Amirali, Ilhame
    Durmaz, Muhammet enes
    Amiraliyev, Gabil N.
    MISKOLC MATHEMATICAL NOTES, 2024, 25 (02)
  • [49] Numerical solution of a singularly perturbed Volterra integro-differential equation
    Sebaheddin Şevgin
    Advances in Difference Equations, 2014
  • [50] Numerical solution of a singularly perturbed Volterra integro-differential equation
    Sevgin, Sebaheddin
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
12345