Application of the homotopy perturbation method for weakly singular Volterra integral equations

In this paper, we study a weakly singular Volterra integral equation of the second kind with the kernel $\displaystyle K(x,t) = \left (\frac{t}{x}\right )^\nu\frac{1}{t}$, for some $\nu >0$ and $x\in[0,X]$. The powerful homotopy perturbation method (HPM) is initially applied to find a soluti...

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Bibliographic Details

Published in:	Journal of New Results in Science
Main Author:	Ahmet Altürk
Format:	Article
Language:	English
Published:	Tokat Gaziosmanpasa University 2024-12-01
Subjects:	volterra integral equations homotopy perturbation method weakly singular kernel perturbation
Online Access:	https://dergipark.org.tr/en/download/article-file/4260292