Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions

B. Asady Department of Mathematics, Islamic Azad University, PO Box 38135-567, Arak, IranCorrespondence[email protected]

M. Tavassoli Kajani Department of Mathematics, Islamic Azad University, PO Box 81595-158, Khorasgan, Isfahan, Iran

A. Hadi Vencheh Department of Mathematics, Islamic Azad University, PO Box 81595-158, Khorasgan, Isfahan, Iran

A. Heydari Department of Mathematics, Islamic Azad University, PO Box 38135-567, Arak, Iran

Abstract

We use a combination of Fourier and block-pulse functions on the interval [0, 1], to solve the linear integro differential equation. We convert the integral equation to a system of linear equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

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Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions

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Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions

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