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The designing approach of difference schemes by controlling the remainder‐effect
Author(s) -
Ruxun Liu,
Mengping Zhang,
Ji Wang,
XiaoYuan Liu
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990930)31:2<523::aid-fld891>3.0.co;2-t
Subject(s) - remainder , partial differential equation , dissipation , mathematics , finite difference , finite difference method , burgers' equation , numerical analysis , computer science , calculus (dental) , mathematical analysis , arithmetic , physics , medicine , dentistry , thermodynamics
Abstract In this paper, based on the idea of the ‘modified partial differential equation’, a new designing approach to explicit finite difference schemes for the Burgers equation and PDE is proposed. The approach differs from other constructured methods in such a way that it considers the requests of the numerical dissipation and dispersion coefficients first. This method is much more constructional and directional. The results of numerical tests indicate that the method is quite successful. Copyright © 1999 John Wiley & Sons, Ltd.