On the Modified Block-Pulse Function for Volterra Integral Equation of The First Kind
عنوان مقاله: On the Modified Block-Pulse Function for Volterra Integral Equation of The First Kind
شناسه ملی مقاله: JR_IJIM-14-4_001
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_IJIM-14-4_001
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
M. Mohammadi - Department of Mathematics, South Tehran Branch, Islamic Azad university, Tehran, Iran.
A. R. Vahidi - Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran.
T. Damercheli - Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran.
S. Khezerloo - Department of Mathematics, South Tehran Branch, Islamic Azad university, Tehran, Iran.
M. Nouri - Department of Mathematics, South Tehran Branch, Islamic Azad university, Tehran, Iran.
خلاصه مقاله:
M. Mohammadi - Department of Mathematics, South Tehran Branch, Islamic Azad university, Tehran, Iran.
A. R. Vahidi - Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran.
T. Damercheli - Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran.
S. Khezerloo - Department of Mathematics, South Tehran Branch, Islamic Azad university, Tehran, Iran.
M. Nouri - Department of Mathematics, South Tehran Branch, Islamic Azad university, Tehran, Iran.
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.
کلمات کلیدی: Volterra integral equation of the first kind, Block-pulse functions, Operational matrix, Function expansion, Convergence
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1886876/