A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation

被引：32
|
作者：
Durmaz, Muhammet Enes [1 ]
Amiraliyev, Gabil M. [2 ]
机构：
[1] Erzincan Binali Yildirim Univ, Grad Sch Nat & Appl Sci, Dept Math, TR-24100 Erzincan, Turkey
[2] Erzincan Binali Yildirim Univ, Dept Math, Fac Arts & Sci, TR-24100 Erzincan, Turkey
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 01期
关键词：
Fredholm integro-differential equation; singular perturbation; finite difference; Shishkin mesh; uniform convergence; 65L11; 65L12; 65L20; 65R20; 45J05; GALERKIN METHOD;
D O I：
10.1007/s00009-020-01693-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with a fitted second-order homogeneous (non-hybrid) type difference scheme for solving the singularly perturbed linear second-order Fredholm integro-differential equation. The numerical method represents the exponentially fitted scheme on the Shishkin mesh. Numerical example is presented to demonstrate efficiency of proposed method.
引用
收藏
页数：17
相关论文
共 50 条
  • [21] A uniformly convergent numerical method for a singularly perturbed Volterra integro-differential equation
    Iragi, Bakulikira C.
    Munyakazi, Justin B.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (04) : 759 - 771
  • [22] Numerical solution of a singularly perturbed Volterra integro-differential equation
    Sebaheddin Şevgin
    Advances in Difference Equations, 2014
  • [23] Numerical solution of a singularly perturbed Volterra integro-differential equation
    Sevgin, Sebaheddin
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [24] Solving singularly perturbed fredholm integro-differential equation using exact finite difference method
    Badeye, Solomon Regasa
    Woldaregay, Mesfin Mekuria
    Dinka, Tekle Gemechu
    BMC RESEARCH NOTES, 2023, 16 (01)
  • [25] Solving singularly perturbed fredholm integro-differential equation using exact finite difference method
    Solomon Regasa Badeye
    Mesfin Mekuria Woldaregay
    Tekle Gemechu Dinka
    BMC Research Notes, 16
  • [26] A numerical technique for solving nonlinear singularly perturbed Fredholm integro-differential equations
    Panda, Abhilipsa
    Mohapatra, Jugal
    Amirali, Ilhame
    Durmaz, Muhammet Enes
    Amiraliyev, Gabil M.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 220 : 618 - 629
  • [27] 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
  • [28] A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations
    Mao, Zhi
    Luo, Dan
    NETWORKS AND HETEROGENEOUS MEDIA, 2023, 18 (03) : 1006 - 1023
  • [29] A stable numerical method for singularly perturbed Fredholm integro differential equation using exponentially fitted difference method
    Hogeme, Mohammed Sumebo
    Woldaregay, Mesfin Mekuria
    Rathour, Laxmi
    Mishra, Vishnu Narayan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 441
  • [30] A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation
    Liu, Li-Bin
    Liao, Yige
    Long, Guangqing
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01):
12345