Reaction waves and non-constant diffusivities
1996 ◽
Vol 37
(4)
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pp. 458-473
Keyword(s):
AbstractA reaction-diffusion equation with non-constant diffusivity,ut = (D(x, t)ux)x + F(u),is studied for D(x, t) a continuous function. The conditions under which the equation can be reduced to an equivalent constant diffusion equation are derived. Some exact forms for D(x, t) are given. For D(x, t) a stochastic function, an explicit finite difference method is used to numerically determine the effect of randomness in D(x, t) upon the speed of the reaction wave solution to Fisher's equation. The extension to two spatial dimensions is considered.
1993 ◽
Vol 35
(2)
◽
pp. 223-243
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2019 ◽
Vol 10
(6)
◽
pp. 569-584
2016 ◽
Vol 444
(2)
◽
pp. 1479-1489
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Keyword(s):
2021 ◽
Vol 7
(2)
◽
2020 ◽
Vol 0
(0)
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