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Abstract 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… Click to show full abstract
Abstract 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 → ∞ t\to\infty 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.
Keywords:
solution;
source terms;
nonlinear diffusion;
model
Journal Title: Georgian Mathematical Journal
Year Published: 2023
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Journal Title: Georgian Mathematical Journal
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!