The Von Neumann conditions for the upwind and Lax-Wendroff schemes of the Telegraph Equation
- 29 June 2023
- journal article
- research article
- Published by IOP Publishing in Physica Scripta
- Vol. 98 (7) , 075232
Abstract
In this paper, the Von Neumann conditions for the Upwind and Lax-Wendroff schemes of the Telegraph Equation are derived, but then prove to be contradicted with the proportional relation between time and space steps, determined by voltage and current waves’ propagation velocity. The contradiction implies that the stable Upwind and Lax-Wendroff schemes of the Telegraph Equation are not physically applicable.Keywords
Funding Information
- Sichuan Science and Technology Program (2023NSFSC1363)
- National Natural Science Foundation of China (12101430)
- Science and Technology Department of Sichuan Province (2021ZYD0018)
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