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EXACT SOLUTION OF SYSTEM OF LINEAR INTEGRAL EQUATIONS USING NEW APPROXIMATE METHOD

ALIEH MADADI|AZIZEH JABBARI
장전수학회 (Jangjeon Mathematical Society)|2013.04|Advanced Studies in Contemporary Mathematics|제23권 제2호|pp. 261-274

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참고문헌

키워드

Taylor seriesSystem of integral equations.
주제분류수학

초록

In this paper, we apply a new approximate method for solving sys-tems of linear Volterra integral equation of second kind. This method transforms the integral system into the matrix equation with the help of Taylor series. We used two numerical examples to show the accuracy and simple of our method. The solution of this system yields the Taylor coecients of the solution function. Also, this method gives the analytic solution for the system.

Abstract

In this paper, we apply a new approximate method for solving sys-tems of linear Volterra integral equation of second kind. This method transforms the integral system into the matrix equation with the help of Taylor series. We used two numerical examples to show the accuracy and simple of our method. The solution of this system yields the Taylor coecients of the solution function. Also, this method gives the analytic solution for the system.

참고문헌 (17)

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