Numerical solution of an integral equations system of the first kind by using an operational matrix with block pulse functions
- 1 January 2011
- journal article
- research article
- Published by Taylor & Francis Ltd in International Journal of Systems Science
- Vol. 42 (1), 195-199
- https://doi.org/10.1080/00207720903499824
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.Keywords
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