Numerical solution of an integral equations system of the first kind by using an operational matrix with block pulse functions

K. Maleknejad, H. Safdari and M. Nouri

International Journal of Systems Science, 2011, vol. 42, issue 1, 195-199

Abstract: This article proposes a simple efficient method for solving a Volterra integral equations system of the first kind. By using block pulse functions and their operational matrix of integration, a first kind integral equations system can be reduced to a linear system of algebraic equations. The coefficient matrix of this system is a block matrix with lower triangular blocks. Numerical examples show that the approximate solutions have a good degree of accuracy.

Date: 2011
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DOI: 10.1080/00207720903499824

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