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Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods. (English) Zbl 0942.65094

The authors apply a standard finite difference scheme to the 1–D diffusion equation obtained from the Burgers equation. Using a “separation of variables” technique, exact explicit solutions to the resulting difference equations are found. The approach is identical to the Fourier series approach in the continuous case. The results are unsurprising.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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