Deep Adaptive Numerical Scheme for Nonlinear Hammerstein Integral  Equations with Automatic Error Control

Fatimah Thabet Hussein

Deep Adaptive Numerical Scheme for Nonlinear Hammerstein Integral Equations with Automatic Error Control

Authors

Fatimah Thabet Hussein

Keywords:

Hammerstein integral equation; adaptive numerical method; collocation scheme; deep learning; residual-based error control; nonlinear operator equation.

Abstract

This paper presents the Deep Adaptive Collocation Method (DACM) for nonlinear Hammersteinintegral equations. DACM uses both traditional discretisation and a neural module that adaptively refines

References

X. Zhang, H. Du, A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations Applied Numerical Mathematics4 May 2020 Volume 156 (Cover date: October 2020) Pages 158-173.

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Published

2025-10-29

How to Cite

Fatimah Thabet Hussein. (2025). Deep Adaptive Numerical Scheme for Nonlinear Hammerstein Integral Equations with Automatic Error Control . Journal of Computational Analysis and Applications (JoCAAA), 34(10), 177–189. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/3942