J Austral Math Soc Ser B 35 pp223--243, 1993.

Numerical studies on 2-dimensional reaction-diffusion equations

S. Tang, S. Qin and R. O. Weber

Abstract

Various initial and boundary value problems for a 2-dimensional reaction-diffusion equation are studied numerically by an explicit Finite Difference Method (FDM), a Galerkin and a Petrov-Galerkin Finite Element Method (FEM). The results not only show the transition processes from different local initial disturbances to quasi-travelling waves, but also demonstrate the long term behaviour of the solutions, which is determined by the system itself and does not depend on the details of the initial disturbances.

Browse the article

Authors

S. Tang

S. Qin

Dept of Mechanics, Peking University, Beijing 100871, China.

R. O. Weber

Dept of Mathematics, University of NSW, ADFA, Canberra ACT 2600, Australia.