Explicit solutions of integral equations via block pulse functions
- 1 July 1982
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 13 (7) , 773-782
- https://doi.org/10.1080/00207728208926387
Abstract
A new method to obtain the explicit solutions of integral equations via block pulse functions is proposed. The elegant Laplace transform technique is used to integrate the block pulse convolution matrix in terms of the block pulse functions. Based on these results, the solutions of integral equations can be recursively calculated. The first and second order integral equations of the first kind, and the integral equations of the second kind arc all solved via this new approach.Keywords
This publication has 4 references indexed in Scilit:
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- Solution of convolution integrals and correlation functions via block pulse functionsJournal of the Chinese Institute of Engineers, 1981
- Solving integral equations via Walsh functionsComputers and Electrical Engineering, 1979
- Solution of integral equations using a set of block pulse functionsJournal of the Franklin Institute, 1978