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Numerical Solution of Fisher's Equation Using a Moving Mesh Method

✍ Scribed by Y. Qiu; D.M. Sloan

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
268 KB
Volume
146
Category
Article
ISSN
0021-9991

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✦ Synopsis

The paper investigates the viability of using moving mesh methods to simulate travelling wave solutions of Fisher's equation. Results are presented that illustrate the weaknesses in moving mesh methods based on equidistribution of some popular monitor functions. It is shown that knowledge of the differential equation and the travelling wave solution may be used to construct a monitor function that yields accurate results with suitably chosen moving mesh methods. A comparison is made between a moving mesh partial differential equation and a moving mesh differentialalgebraic equation for the evolution in time.

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