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

被引：29
|
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.
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页数：17
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