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Model hyperbolic systems with source terms: Exact and numerical solutions. (English) Zbl 0989.65095
Toro, E. F. (ed.), Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers. 941-948 (2001).
Summary: We construct model hyperbolic systems with source terms, give their exact solutions and propose a new numerical approach to solve inhomogeneous hyperbolic problems. Preliminary numerical results, as compared with exact solutions, show that the proposed numerical method is superior to existing methods for dealing with source terms.
For the entire collection see [Zbl 0978.00036].

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
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