On the Modified Block-Pulse Function for Volterra Integral Equation of The First ‎Kind‎

Author(s):

M. Mohammadi , A. R. Vahidi * , T. Damercheli , S. Khezerloo , M. Nouri

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we consider Volterra integral equations of the first kind. Then by extending the modified Block-pulse functions(MBPFs) on the Volterra integral equation of the second kind obtained from Volterra integral equation of the first kind, we obtain the approximate solution. Some theorems are proved to provide an error analysis for proposed method. Numerical examples show that the proposed scheme has a suitable degree of accuracy.

Keywords:

Volterra integral equation of the first kind , Block-pulse functions , Operational matrix , Function expansion , ‎Convergence

Language:
English
Published:
International Journal of Industrial Mathematics, Volume:14 Issue: 4, Autumn 2022
Pages:
377 to 386
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