Author

Tamirat Temesgen Dufera

Adama Science and Technology University

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Open access Oct 2026

An adaptive collocation physics-informed neural networks for multidimensional heat conduction problems in complex geometries

Physics-Informed Neural Networks (PINNs) have emerged as an effective framework for solving partial differential equations (PDEs) by embedding physical laws directly into the learning process. However, variable thermal conductivity and discontinuous solutions introduce heterogeneous coefficients, sharp gradients and...

Meseret Cherkos Tessema, Tamirat Temesgen Dufera, Mitiku Daba Deresse et al. · Physica Scripta · 0 citations

Open access Jul 2026

A gradient-enhanced physics-informed neural network with adaptive loss weighting for high-dimensional non-linear sine-Gordon problems.

When the proposed method is compared to state-of-the-art variants of PINN, it is established that the method is superior to the current methods in a variety of high-dimensional PDEs with very small error magnitudes, even in the 20D case.

Alemayehu Tamirie Deresse, Tamirat Temesgen Dufera · Scientific Reports · 0 citations