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Numerical solution of an integral equations system of the first kind by using an operational matrix with block pulse functions |
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| Authors: | K Maleknejad H Safdari M Nouri |
| Affiliation: | 1. Department of Mathematics , Iran University of Science and Technology , Narmak, Tehran, 16846 13114, Iran maleknejad@iust.ac.ir;3. Department of Mathematics , Shahid Rajaee Teacher Training University , Lavizan, Tehran, 16788 15811, Iran;4. Faculty of Science, Department of Mathematics , Islamic Azad University , Karaj Branch, Tehran, 31499 68111, Iran |
| 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: | block pulse functions Volterra integral equations system of the first kind operational matrix block matrix |