CONVERGENCE ANALYSIS OF THE SINC COLLOCATION METHOD FOR INTEGRO-DIFFERENTIAL EQUATIONS SYSTEM

被引：0

作者：

Zarebnia, Mohammad ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili M, Dept Math, Fac Math Sci, POB 56199-11367, Ardebil, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2016年 / 4卷 / 01期

关键词：

Fredholm integro-differential; System of equation; Sinc function; Convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic equations. The exponential convergence rate O(e(-k root N)) of the method is proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.

引用

页码：29 / 42

页数：14

共 12 条

[1] Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations [J].

Akyüz-Dascioglu, AE ;

Sezer, M .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2005, 342 (06) :688-701

[2] Solutions of integral and integro-differential equation systems by using differential transform method [J].

Arikoglu, Aytac ;

Ozkol, Ibrahim .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (09) :2411-2417

[3] SINC FUNCTION COMPUTATION OF THE EIGENVALUES OF STURM-LIOUVILLE PROBLEMS [J].

EGGERT, N ;

JARRATT, M ;

LUND, J .

JOURNAL OF COMPUTATIONAL PHYSICS, 1987, 69 (01) :209-229

[4] A FULLY-GALERKIN METHOD FOR THE NUMERICAL-SOLUTION OF AN INVERSE PROBLEM IN A PARABOLIC PARTIAL-DIFFERENTIAL EQUATION [J].

LUND, J ;

VOGEL, CR .

INVERSE PROBLEMS, 1990, 6 (02) :205-217

[5]

Lund J., 1992, SINC METHODS QUADRAT

[6] A SINC-COLLOCATION METHOD FOR THE COMPUTATION OF THE EIGENVALUES OF THE RADIAL SCHRODINGER-EQUATION [J].

LUND, JR ;

RILEY, BV .

IMA JOURNAL OF NUMERICAL ANALYSIS, 1984, 4 (01) :83-98

[7] Time-stepping schemes for systems of Volterra integro-differential equations [J].

Patlashenko, I ;

Givoli, D ;

Barbone, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (43-44) :5691-5718

[8] Convergence of approximate solution of system of Fredholm integral equations [J].

Rashidinia, J. ;

Zarebnia, M. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (02) :1216-1227

[9] SINC-GALERKIN ESTIMATION OF DIFFUSIVITY IN PARABOLIC PROBLEMS [J].

SMITH, RC ;

BOWERS, KL .

INVERSE PROBLEMS, 1993, 9 (01) :113-135

[10]

Stenger F., 1993, NUMERICAL METHODS BA, DOI 10.1007/978-1-4612-2706-9

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