Trigonometric Quadratic B-Spline Subdomain Galerkin Algorithm For The Burgers' Equation
| Autor: | Melis Zorsahin Gorgulu, İdris Dağ, Buket Ay |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Burgers’ equation
Quadratic trigonometric Bsplines B-spline General Physics and Astronomy lcsh:QC1-999 Burgers' equation Mathematics::Numerical Analysis Shock and travelling waves Quadratic equation Nonlinear Sciences::Exactly Solvable and Integrable Systems Crank-Nicolson method Subdomain Galerkin method Applied mathematics Crank–Nicolson method Trigonometry Galerkin method lcsh:Physics Mathematics |
| Zdroj: | Open Physics, Vol 13, Iss 1 (2015) |
| 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: | OpenAIRE |
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