A discretization-free deep neural network-based approach for advection-dispersion-reaction mechanisms

HU Tuna, M Sari, T Cosgun - Physica Scripta, 2024 - iopscience.iop.org
This study aims to provide insights into new areas of artificial intelligence approaches by
examining how these techniques can be applied to predict behaviours for difficult physical …

Numerical Solution of Nonlinear Advection Equation Using Reproducing Kernel Method

O Saldır - Journal of Mathematical Sciences and Modelling, 2024 - dergipark.org.tr
In this study, an iterative approximation is proposed by using the reproducing kernel method
(RKM) for the nonlinear advection equation. To apply the iterative RKM, specific reproducing …