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Numerical Solution for a Nonlinear Diffusion Model with Source Terms by Temur Jangveladze; Zurab Kiguradze; Maia Kratsashvili; Beny Neta is a Mathematics article available to read on EtoBox.

What is Numerical Solution for a Nonlinear Diffusion Model with Source Terms about?

The nonlinear diffusion system with source terms is studied. This model is derived via Maxwell equations describing electromagnetic field propagation in media. The uniqueness of the solution and its behavior as t → ∞ are proved. We also prove that the finite difference approximation converges in space and time. Numerical implementation with various experiments for different values of the input parameters is performed to validate the theoretical conclusions.

Who reads Numerical Solution for a Nonlinear Diffusion Model with Source Terms?

Author

Temur Jangveladze; Zurab Kiguradze; Maia Kratsashvili; Beny Neta

Publisher

Walter de Gruyter GmbH

Published

2023

Language

EN

Field

Mathematics (Physical Sciences)