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Fourth‐order schemes for the wave equation, Maxwell equations, and linearized elastodynamic equations
Author(s) -
Tuomela Jukka
Publication year - 1994
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690100104
Subject(s) - mathematics , maxwell's equations , mathematical analysis , wave equation , space (punctuation) , independent equation , partial differential equation , computer science , operating system
With simple finite‐difference operators we construct fourth‐order schemes in space and in time for the wave equation, Maxwell equations, and linearized elastodynamic equations using the modified equation approach. The schemes remain stable for arbitrary heterogeneous mediums because the relevant difference operators are always positive definite. We also present some dispersion curves to show the accuracy of the schemes. © 1994 John Wiley & Sons, Inc.