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Compact difference methods applied to initial-boundary value problems for mixed systems. (English) Zbl 0856.65099
The authors use compact difference methods to the solution of initial-boundary value problems for mixed systems. A finite difference method is adopted for the numerical solution. Stability, linearity and convergence of the solution are proved and finally a computational experiment for a noncompact scheme is presented.

MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35M10 PDEs of mixed type
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