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

• Authors: Buket Ay , Idris Dag , Melis Zorsahin Gorgulu
• Languages of publication: EN

Abstracts

EN

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

EN

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

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

received

14 - 8 - 2015

online

31 - 12 - 2015

accepted

8 - 12 - 2015

Contributors

author

Buket Ay

• Mathematics-
  Computer Department, Eskisehir Osmangazi University, Eskisehir,
  Turkey

author

Idris Dag

• Mathematics-
  Computer Department, Eskisehir Osmangazi University, Eskisehir,
  Turkey

author

Melis Zorsahin Gorgulu

• Mathematics-
  Computer Department, Eskisehir Osmangazi University, Eskisehir,
  Turkey

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Identifiers

DOI

10.1515/phys-2015-0059