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

Issue

Vol. 34 No. 10 (2025): JOCAAA

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.