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A new positivity‐preserving nonstandard finite difference scheme for the DWE
Author(s) -
Mickens Ronald E.,
Jordan P. M.
Publication year - 2005
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.20073
Subject(s) - mathematics , scheme (mathematics) , central differencing scheme , partial differential equation , finite difference scheme , relaxation (psychology) , mathematical analysis , finite difference , finite difference coefficient , finite element method , mixed finite element method , physics , psychology , social psychology , thermodynamics
An improved positivity‐preserving nonstandard finite difference scheme for the linear damped wave equation is presented. Unlike an earlier such scheme developed by the authors, the new scheme involves three time levels and is therefore able to include the effects of the equation's relaxation coefficient. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential, 2005