Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers’ equation
Autor: | Ay Buket, Dag Idris, Gorgulu Melis Zorsahin |
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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. |
Databáze: | Directory of Open Access Journals |
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