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Numerical studies on 2-dimensional reaction-diffusion equations

Published online by Cambridge University Press:  17 February 2009

S. Tang ,
S. Qin  and
R. O. Weber
S. Tang
Affiliation:
Dept of Mechanics, Peking University, Beijing 100871, China
S. Qin
Affiliation:
Dept of Mechanics, Peking University, Beijing 100871, China
R. O. Weber
Affiliation:
Dept of Mathematics, University of NSW, ADFA, Canberra ACT 2600, Australia
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Abstract

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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 quasitravelling 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.

Type
Research Article
Information
The ANZIAM Journal , Volume 35 , Issue 2 , October 1993 , pp. 223 - 243
Copyright
Copyright © Australian Mathematical Society 1993

References

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