Homotopy Analysis Method and Physics-Informed Neural Networks for Solving Volterra Integral Equations with Discontinuous Kernels

This paper addresses first- and second-kind Volterra integral equations (VIEs) with discontinuous kernels. A hybrid method combining the Homotopy Analysis Method (HAM) and Physics-Informed Neural Networks (PINNs) is developed. The convergence of the HAM is analyzed. Benchmark examples confirm that t...

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Bibliographic Details

Published in:	Axioms
Main Authors:	Samad Noeiaghdam, Md Asadujjaman Miah, Sanda Micula
Format:	Article
Language:	English
Published:	MDPI AG 2025-09-01
Subjects:	Volterra integral equation discontinuous kernel homotopy analysis method physics-informed neural networks
Online Access:	https://www.mdpi.com/2075-1680/14/10/726