Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions

Authors:
E. Babolian;A. Salimi Shamloo
Affiliations:
Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, Tehran, Iran;Department of Mathematics, Islamic Azad University of Tehran, Science and Research Branch, Tehran, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 3
Cited 3

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Abstract

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