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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina

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Volume 13, Issue 1

Issues

Volume 13 (2015)

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

Buket Ay / Idris Dag / Melis Zorsahin Gorgulu
Published Online: 2015-12-31 | DOI: https://doi.org/10.1515/phys-2015-0059

Abstract

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.

Keywords: Burgers’ equation; Shock and travelling waves; Subdomain Galerkin method; Quadratic trigonometric Bsplines; Crank-Nicolson method

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About the article

Received: 2015-08-14

Accepted: 2015-12-08

Published Online: 2015-12-31


Citation Information: Open Physics, Volume 13, Issue 1, ISSN (Online) 2391-5471, DOI: https://doi.org/10.1515/phys-2015-0059.

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©2015 Buket Ay et al.. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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