A NEW APPROACH FOR DETERMINING THE SOLUTION OF THE VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNEL

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MALEKNEJAD K.; DAMERCHELI T.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

A NEW APPROACH FOR DETERMINING THE SOLUTION OF THE VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNEL

Author(s)

MALEKNEJAD K. | DAMERCHELI T. | Issue Writer Certificate

Keywords

TAYLOR SERIES EXPANSION

VOLTERRA INTEGRAL EQUATION

WEAKLY SINGULAR KERNEL

Abstract

IN THIS PAPER, WE PRESENT A NEW AND AN EFFICIENT METHOD FOR DETERMINING THE SOLUTION OF THE VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND WITH CONVOLUTION KERNEL. THIS METHOD IS BASED ON CONVERTING THE INTEGRAL EQUATION TO A LINEAR ORDINARY DIFFERENTIAL EQUATION WHICH NEEDS SPECIFIED BOUNDARY CONDITIONS. FOR DETERMINING BOUNDARY CONDITIONS, WE USE THE INTEGRATION TECHNIQUE. THIS METHOD IS VERY STABLE AND CAN BE APPLIED TO APPROXIMATE A SOLUTION OF THE VOLTERRA INTEGRAL EQUATION WITH SMOOTH AND WEAKLY SINGULAR KERNELS.

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APA: Copy

MALEKNEJAD, K., & DAMERCHELI, T.. (2012). A NEW APPROACH FOR DETERMINING THE SOLUTION OF THE VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNEL. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/926327/en

Vancouver: Copy

MALEKNEJAD K., DAMERCHELI T.. A NEW APPROACH FOR DETERMINING THE SOLUTION OF THE VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNEL. 2012. Available from: https://sid.ir/paper/926327/en

IEEE: Copy

K. MALEKNEJAD, and T. DAMERCHELI, “A NEW APPROACH FOR DETERMINING THE SOLUTION OF THE VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNEL,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/926327/en

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