Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers’ equation

Autor: Ay Buket, Dag Idris, Gorgulu Melis Zorsahin
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Open Physics, Vol 13, Iss 1 (2015)
Druh dokumentu: article
ISSN: 2391-5471
2015-0059
DOI: 10.1515/phys-2015-0059
Popis: A variant of the subdomain Galerkin method has been set up to find numerical solutions of the Burgers’ equation. Approximate function consists of the combination of the trigonometric B-splines. Integration of Burgers’ equation has been achived by aid of the subdomain Galerkin method based on the trigonometric B-splines as an approximate functions. The resulting first order ordinary differential system has been converted into an iterative algebraic equation by use of the Crank-Nicolson method at successive two time levels. The suggested algorithm is tested on somewell-known problems for the Burgers’ equation.
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