Compact Difference Methods Applied to Initial-Boundary Value Problems for Mixed Systems
R. Bodenmann and H. J. Schroll
An initial-boundary value problem to a system of nonlinear partial
differential equations, which consists of a hyperbolic and a parabolic part,
is taken into consideration.
The problem is discretised by a compact finite difference method.
An approximation of the numerical solution is constructed, at which the
difference scheme is linearised. Nonlinear convergence is proved
using the stability of the linearised scheme.
Finally, a computational experiment for a noncompact scheme is presented.
- Available as PostScript
- Compact Difference Methods Applied to Initial-Boundary Value Problems
for Mixed Systems
- R. Bodenmann
- H. J. Schroll,
- Publishing information:
- Num. Math. 73(03), 1996, pp 291-309.
- Submitted by:
August 26 1996.
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