A nondispersive and nondissipative numerical method for first‐order linear hyperbolic partial differential equations
作者:
Yoichi Watanabe,
期刊:
Numerical Methods for Partial Differential Equations
(WILEY Available online 1987)
卷期:
Volume 3,
issue 1
页码: 1-8
ISSN:0749-159X
年代: 1987
DOI:10.1002/num.1690030102
出版商: John Wiley&Sons, Inc.
数据来源: WILEY
摘要:
AbstractWe 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 solut
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