CONVERGENCE ANALYSIS OF THE SINCCOLLOCATION METHOD FORINTEGRO-DIFFERENTIAL EQUATIONS SYSTEM
Publish Year: 1395
Type: Journal paper
Language: English
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Document National Code:
JR_SCMA-4-1_003
Index date: 3 July 2017
CONVERGENCE ANALYSIS OF THE SINCCOLLOCATION METHOD FORINTEGRO-DIFFERENTIAL EQUATIONS SYSTEM abstract
In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sincmethod is considered. This approximation reduces the system ofintegro-differential equations to an explicit system of algebraic equations. The exponential convergence rate O(e−kpN) of the methodis proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.
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CONVERGENCE ANALYSIS OF THE SINCCOLLOCATION METHOD FORINTEGRO-DIFFERENTIAL EQUATIONS SYSTEM authors
MOHAMMAD ZAREBNIA
Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili,m, P.O.Box ۵۶۱۹۹-۱۱۳۶۷, Ardabil, Iran.