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Article Dans Une Revue Acta Polytechnica Année : 2021

MODIFIED EQUATION FOR A CLASS OF EXPLICIT AND IMPLICIT SCHEMES SOLVING ONE-DIMENSIONAL ADVECTION PROBLEM

Résumé

This paper presents the general modified equation for a family of finite-difference schemes solving one-dimensional advection equation. The whole family of explicit and implicit schemes working at two time-levels and having three point spatial support is considered. Some of the classical schemes (upwind, Lax-Friedrichs, Lax-Wendroff) are discussed as examples, showing the possible implications arising from the modified equation to the properties of the considered numerical methods.
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Dates et versions

hal-03140280 , version 1 (12-02-2021)

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Citer

Tomáš Bodnár, Philippe Fraunié, Karel Kozel. MODIFIED EQUATION FOR A CLASS OF EXPLICIT AND IMPLICIT SCHEMES SOLVING ONE-DIMENSIONAL ADVECTION PROBLEM. Acta Polytechnica, 2021, 61 (SI), pp.49-58. ⟨10.14311/AP.2021.61.0049⟩. ⟨hal-03140280⟩
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