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- W2127116451 abstract "Traveling wave solutions have been studied for a variety of nonlinear parabolic problems. In the initial value approach to such problems the initial data at infinity determines the wave that propagates. The numerical simulation of such problems is thus quite difficult. If the domain is replaced by a finite one, to facilitate numerical computations, then appropriate boundary conditions on the artificial boundaries must depend upon the initial data in the discarded region. In this work we derive such boundary conditions, based on the Laplace transform of the linearized problems at ±∞, and illustrate their utility by presenting a numerical solution of Fisher’s equation which has been proposed as a model in genetics." @default.
- W2127116451 created "2016-06-24" @default.
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- W2127116451 date "1986-07-01" @default.
- W2127116451 modified "2023-10-18" @default.
- W2127116451 title "The Numerical Calculation of Traveling Wave Solutions of Nonlinear Parabolic Equations" @default.
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- W2127116451 doi "https://doi.org/10.1137/0907065" @default.
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