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

Document Type : Research Paper

Authors

1 Department of Mathematics, South Tehran ‎Branch, ‎Islamic Azad university, Tehran, ‎Iran‎.

2 Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, ‎Iran.‎

3 Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, ‎Iran.

4 Department of Mathematics, South Tehran ‎Branch, ‎Islamic Azad university, Tehran, ‎Iran.‎

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

References

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International Journal of Industrial Mathematics
Volume 14, Issue 4
September 2022
Pages 377-386

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