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The numerical calculation of traveling wave solutions of nonlinear parabolic equations. (English) Zbl 0613.65098

A numerical method for computing traveling wave solutions of Cauchy problems for nonlinear parabolic equations posed on infinite domain is developed. The domain is replaced by a finite one and boundary conditions are constructed. An application to Fisher’s equation and the numerical results are given.

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35C07 Traveling wave solutions
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
92D10 Genetics and epigenetics
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