Explicit solutions of integral equations via block pulse functions

Chi-Hsu Wang, Yen Ping Shih

Research output: Contribution to journalArticle

13 Scopus citations

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.

Original languageEnglish
Pages (from-to)773-782
Number of pages10
JournalInternational Journal of Systems Science
Volume13
Issue number7
DOIs
StatePublished - 1 Jan 1982

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