Title of article
On the Modied Block-Pulse Function for Volterra Integral Equation of The First Kind
Author/Authors
Mohammadi, M. Department of Mathematics - Islamic Azad university South Tehran Branch, Tehran, Iran. , Vahidi, A. R. Department of Mathematics - Islamic Azad University Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Tehran, Iran , Damercheli, T. Department of Mathematics - Islamic Azad University Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Tehran, Iran , Khezerloo, S. Department of Mathematics - Islamic Azad university South Tehran Branch, Tehran, Iran. , Nouri, M. Department of Mathematics - Islamic Azad university South Tehran Branch, Tehran, Iran.
Pages
10
From page
377
To page
386
Abstract
In this work, we present a simple ancient modied Block-Pulse functions (MBPFs) for numerical
solution of class of linear Volterra integral equation of rst kind. The peresent method is based on
converting Volterra integral equation of the rst kind into Volterra integral equation of the second
kind. Some theorems are included to show the convergence and advantage of this method. Numerical
results show that the approximate solutions have a good degree of accuracy.
Keywords
Volterra integral equation of the first kind , Block-pulse functions , Operational matrix , Function expansion , Convergence
Journal title
International Journal of Industrial Mathematics(IJIM)
Serial Year
2022
Record number
2725960
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