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2012•International Journal of Systems ScienceRequires access

A direct method to solve integral and integro-differential equations of convolution type by using improved operational matrix

K. Maleknejad, Mostafa Nouri-Baygi

Open publisher page 3 citations

Abstract

In this article, we use improved operational matrix of block pulse functions on interval [0, 1) to solve Volterra integral and integro-differential equations of convolution type without solving any system and projection method. We first obtain Laplace transform of the problem and then we find numerical inversion of Laplace transform by improved operational matrix of integration. Numerical examples show that the approximate solutions have a good degree of accuracy.

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What this paper is about

In this article, we use improved operational matrix of block pulse functions on interval [0, 1) to solve Volterra integral and integro-differential equations of convolution type without solving any system and projection method. We first obtain Laplace transform of the problem and then we find numerical inversion of Laplace transform by improved operational matrix of integration. Numerical examples show that the approximate solutions have a good degree of accuracy.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this article, we use improved operational matrix of block pulse functions on interval [0, 1) to solve Volterra integral and integro-differential equations of convolution type without solving any system and projection method. We first obtain Laplace transform of the problem and then we find numerical inversion of Laplace transform by improved operational matrix of integration. Numerical examples show that the approximate solutions have a good degree of accuracy.

Key concepts: Laplace transform, Mathematics, Volterra integral equation, Convolution (computer science), Integral equation, Applied mathematics, Matrix (chemical analysis), Integral transform

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