Identification of advection-diffusion equation from a limited number of spatial locations

Identification of Advection-Diffusion Equation from a Limited Number of Spatial Locations

Advection-diffusion-limited aggregation.

Much is known about diffusion-limited growth from a dilute suspension. The simplest and most famous model is diffusion-limited aggregation (DLA), in which random walkers are released one-by-one far away and become frozen where they first touch a growing fractal cluster. Real growth phenomena, such as mineral deposition in rocks, however, often involve multiple processes, such as advection-diffu...

Stability Analysis of Scalar Advection-Diffusion Equation

This note recounts detailed stability and accuracy analysis of a scalar advection-diffusion equation.

Galerkin Method for the Numerical Solution of the Advection-Diffusion Equation by Using Exponential B-splines

In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples related to pure advection in a finitely long channel and the distribution of an initial Gaussian pulse are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.

A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon

This paper deals with the numerical solution of a class of reaction diffusion equations arises from ecological phenomena. When two species are introduced into unoccupied habitat, they can spread across the environment as two travelling waves with the wave of the faster reproducer moving ahead of the slower.The mathematical modelling of invasions of species in more complex settings that include ...