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Diffusive approximation of fisher's equation

✍ Scribed by R. Cavazzoni


Book ID
104351803
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
862 KB
Volume
39
Category
Article
ISSN
0898-1221

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✦ Synopsis


we show that Fisher's Equation is the relaxation limit of a discrete kinetic model with two speeds, in which the collision term contains a source. The analysis can be directly applicable to obtain a numerical approximation to Fisher's Equation in terms of the relaxing system.


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We examine traveling-wave solutions for a generalized nonlineardiffusion Fisher equation studied by Hayes [J. Math. Biol. 29, 531-537 (1991)]. The density-dependent diffusion coefficient used is motivated by certain polymer diffusion and population dispersal problems. Approximate solutions are const