Model Hyperbolic Systems with Source Terms: Exact and Numerical Solutions

  1. Toro, E. F.
  2. Vazquez-Cendon, M. E.
Book:
Godunov Methods

ISBN: 9781461351832,  9781461506638

Year of publication: 2001

Pages: 941-948

Type: Book chapter

DOI: 10.1007/978-1-4615-0663-8_88 GOOGLE SCHOLAR lock_openOpen access editor

Abstract

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.

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