A nondispersive and nondissipative numerical method for first‐order linear hyperbolic partial differential equations

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Abstract

We propose a new numerical method for a solution of first‐order linear hyperbolic equations. The leap‐frog scheme is converted to a nondispersive scheme by introducing an adjustable constant in a fictitious absorption term. Then the erroneous decrease in th solution is eliminated by solving two equations equivalent to the original equation. The new scheme perfectly preserves the form of a discontinuous solution.

Original languageEnglish (US)
Pages (from-to)1-8
Number of pages8
JournalNumerical Methods for Partial Differential Equations
Volume3
Issue number1
DOIs
StatePublished - Jan 1 1987

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