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NEW APPROACH FOR NUMERICAL SOLUTION OF VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND

Jalil Rashidinia, Mohammad Zarebnia

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Abstract

Abstract: Using Sinc functions a numerical solution of linear Volterra integral equations of the second kind is established. The approximate solutions are given such that the auxiliary basis functions satisfying in the four different end conditions. Our method consists of reducing the solution to a set of algebraic equations. Numerical results are included to confirm the efficiency and accuracy of the method.

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What this paper is about

Abstract: Using Sinc functions a numerical solution of linear Volterra integral equations of the second kind is established. The approximate solutions are given such that the auxiliary basis functions satisfying in the four different end conditions. Our method consists of reducing the solution to a set of algebraic equations. Numerical results are included to confirm the efficiency and accuracy of the method.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract: Using Sinc functions a numerical solution of linear Volterra integral equations of the second kind is established. The approximate solutions are given such that the auxiliary basis functions satisfying in the four different end conditions. Our method consists of reducing the solution to a set of algebraic equations. Numerical results are included to confirm the efficiency and accuracy of the method.

Key concepts: Volterra integral equation, Algebraic equation, Mathematics, Sinc function, Integral equation, Numerical analysis, Set (abstract data type), Applied mathematics

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