A Monotone Second-Order Numerical Method for Fredholm Integro-Differential Equation

被引：0
|
作者：
Ilhame Amirali [1 ]
Muhammet Enes Durmaz [2 ]
Gabil M. Amiraliyev [3 ]
机构：
[1] Düzce University,Department of Mathematics, Faculty of Arts and Sciences
[2] Kırklareli University,Department of Information Technology
[3] Paşa Neighborhood,undefined
来源：
Mediterranean Journal of Mathematics | 2024年 / 21卷 / 7期
关键词：
Fredholm integro-differential equation; finite difference method; error estimate; uniform convergence; 45J05; 65L20; 65L11; 65L12; 65R20;
D O I：
10.1007/s00009-024-02746-6
中图分类号：
学科分类号：
摘要：
The purpose of this study is to present a monotone type numerical method for solving Fredholm integro-differential equations. To solve this problem numerically, we have established a finite difference scheme on a uniform mesh using the composite trapezoidal formula. Furthermore, it has been proven that this presented method is second-order convergent in the discrete maximum norm. To support the theoretical basis of this proposed approach, numerical results are presented.
引用
收藏
相关论文
共 50 条
  • [21] Solving Fredholm Second Order Integro-Differential Equation with Logarithmic Kernel Using the Airfoil Collocation Method
    Ramdani, N. E.
    Hadj, A.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2022, 16 (01): : 79 - 86
  • [22] Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential equations by using Picard method
    Sh. S. Behzadi
    T. Allahviranloo
    S. Abbasbandy
    Neural Computing and Applications, 2012, 21 : 337 - 346
  • [23] A computational approach to solving a second-order singularly perturbed Fredholm integro-differential equation with discontinuous source term
    Manebo, Wubeshet Seyoum
    Woldaregay, Mesfin Mekuria
    Dinka, Tekle Gemechu
    Duressa, Gemechis File
    NUMERICAL ALGORITHMS, 2024, 97 (3) : 1415 - 1430
  • [24] A second order numerical method for a Volterra integro-differential equation with a weakly singular kernel
    Liu, Li-Bin
    Ye, Limin
    Bao, Xiaobing
    Zhang, Yong
    NETWORKS AND HETEROGENEOUS MEDIA, 2024, 19 (02) : 740 - 752
  • [25] Fredholm integral equation method for the integro-differential Schrodinger equation
    Chang, Ick-Soon
    Kang, Sheon-Young
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) : 2676 - 2685
  • [26] A pseudospectral method for the solution of second-order integro-differential equations
    Alipanah, Amjad
    Dehghan, Mehdi
    JOURNAL OF VIBRATION AND CONTROL, 2011, 17 (14) : 2158 - 2163
  • [27] Asymptotic Behavior of Solutions of a Complete Second-Order Integro-Differential Equation
    Zakora D.A.
    Journal of Mathematical Sciences, 2024, 282 (3) : 362 - 377
  • [28] Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method
    Durmaz, Muhammet Enes
    Cakir, Musa
    Amirali, Ilhame
    Amiraliyev, Gabil M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 412
  • [29] PERIODIC SOLUTIONS OF A SECOND-ORDER NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION
    Alymbaev, A. T.
    Kyzy, A. Bapa
    Sharshembieva, F. K.
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2024, 31 (02): : 285 - 297
  • [30] On a second-order integro-differential equation with difference kernels and power nonlinearity
    Askhabov, S. N.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022, 106 (02): : 38 - 48
12345