Nonlinear diffusion equations are mathematical models that describe how substances diffuse through a medium, particularly when the diffusion process is influenced by the concentration of the ...

First, their algorithm advances a solution forward in time by solving the heat equation (also called the "diffusion equation" ...

Free boundary problems in reaction-diffusion equations are a fascinating area of mathematical research that explores how populations or substances spread over time and space. These problems often ...

The advection-diffusion equation is an important partial differential equation which can model phenomena such as the transport of a scalar, reaction-diffusion processes, semiconductor physics, etc. By ...

The DMC method is a realisation of the above derivation in position space. equation 3.30 becomes This equation is a diffusion equation where may be interpreted as the density of diffusing particles ...

The three main types of linear second order partial differential equations will be considered: parabolic (diffusion equation), elliptic (Laplace equation), and hyperbolic (wave equation) and their ...

This project is part of my Deep Learning Exam at the University of Trieste. It demonstrates the application of numerical analysis, graph deep learning, and diffusion equations on the Stanford Bunny ...

Abstract: A Reaction-diffusion equation based image denoising algorithm (RDEID) is proposed for the removal of noises in corrupted images. By exploiting reactiondiffusion equation, the isotropic ...

Abstract: A nonlinear eigenvalue problem is solved analytically to obtain the shock-like traveling waves of Fisher's nonlinear diffusion equation, with which he described the wave of advance of ...

This work presents a probabilistic scheme for solving semilinear nonlocal diffusion equations with volume constraints and integrable kernels. The nonlocal model of interest is defined by a ...

attraction, repulsion and roosting Self-organization of particles through alignment. attraction, repulsion and roosting Aggregation-Diffusion equation (nonlinear diffusion and gaussian attractive ...