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Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions
Author(s) -
Dehghan Mehdi,
Saray Behzad Nemati,
Lakestani Mehrdad
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2847
Subject(s) - mathematics , scaling , galerkin method , burgers' equation , discontinuous galerkin method , finite difference , finite difference method , finite element method , mathematical analysis , partial differential equation , geometry , physics , thermodynamics
The current paper proposes a technique for the numerical solution of Burgers equations. The method is based on finite difference formula combined with the Galerkin method, which uses the interpolating scaling functions. Several test problems are given, and the numerical results are reported to show the accuracy and efficiency of the new algorithm. Copyright © 2013 John Wiley & Sons, Ltd.