Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition

被引：8

作者：

Durmaz, Muhammet Enes ^{[1
]}

Amiraliyev, Gabil M. ^{[2
]}

Kudu, Mustafa ^{[2
]}

机构：

[1] Kirklareli Univ, Dept Informat Technol, Kirklareli, Turkey

[2] Erzincan Binali Yildirim Univ, Fac Art & Sci, Dept Math, Erzincan, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2021年

关键词：

Fredholm integro differential equation; singular perturbation; finite difference methods; Shishkin mesh; uniform convergence; INTEGRODIFFERENTIAL EQUATION;

D O I：

10.3906/mat-2109-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh. The stability and convergence of the difference scheme have been analyzed in the discrete maximum norm. Some numerical examples have been solved and numerical outcomes are obtained.

引用

页码：207 / 224

页数：18

共 28 条

[1]

Amiraliyev G.M., 1995, TURKISH J MATH, V19, P207

[2] A NUMERICAL METHOD FOR A SECOND ORDER SINGULARLY PERTURBED FREDHOLM INTEGRO-DIFFERENTIAL EQUATION [J].

Amiraliyev, Gabil M. ;

Durmaz, Muhammet Enes ;

Kudu, Mustafa .

MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) :37-48

[3]

Amiraliyev GM, 2020, B BELG MATH SOC-SIM, V27, P71

[4]

Amiraliyev GM, 2018, J MATH ANAL, V9, P55

[5]

[Anonymous], 1991, Singular perturbation methods for ordinary differential equations, DOI DOI 10.1007/978-3-540-71225-1

[6]

Brunner H., 2018, Contemporary Computational Mathematics-A Celebration of the 80th Birthday of Ian Sloan, P205

[7] A fast multiscale Galerkin method for solving second order linear Fredholm integro-differential equation with Dirichlet boundary conditions [J].

Chen, Jian ;

He, Minfan ;

Huang, Yong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 364

[8] A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation II: Efficient algorithm for the discrete linear system [J].

Chen, Jian ;

He, Minfan ;

Zeng, Taishan .

JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, 2019, 58 :112-118

[9] Chebyshev finite difference method for Fredholm integro-differential equation [J].

Dehghan, Mehdi ;

Saadatmandi, Abbas .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2008, 85 (01) :123-130

[10] Pell-Lucas series approach for a class of Fredholm-type delay integro-differential equations with variable delays [J].

Donmez Demir, Duygu ;

Lukonde, Alpha Peter ;

Kurkcu, Omur Kivanc ;

Sezer, Mehmet .

MATHEMATICAL SCIENCES, 2021, 15 (01) :55-64

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