2 results for "Burhan Bezekci"
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Journal Article
Spectral analysis of reaction-diffusion systems via physics-informed neural networks
Reaction–diffusion systems serve as a powerful mathematical framework for modeling dynamic behaviors and pattern formation, widely used to model physical, chemical, and biological systems, among others. Understanding their stability often involves examining eigenvalue problems derived by…
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Journal Article
Deep learning-based approach for modeling threshold curves
The initiation of a propagating wave in a one-dimensional excitable medium depends on a time-independent critical solution, whose stable manifold defines the threshold curve separating initial conditions that lead to propagation wave solutions from those that ultimately decay. Accurately…