<abstract xmlns="http://www.w3.org/1999/xhtml"> In this article, the time fractional order Burgers equation has been solved by quadratic B-spline Galerkin method. This method has been applied to three model problems. The obtained numerical solutions and error norms L2 and L∞ have been presented in tables. Absolute error graphics as well as those of exact and numerical solutions have been given.</abstract>

In this article, the time fractional order Burgers equation has been solved by quadratic B-spline Galerkin method. This method has been applied to three model problems. The obtained numerical solutions and error norms L2 and L∞ have been presented in tables. Absolute error graphics as well as those of exact and numerical solutions have been given.

Numerical solution of time fractional Burgers equation

Department of Mathematics, Faculty of Science and Art, Inönü University, Turkey

Department of Mathematics, Faculty of Science and Art, Mustafa Kemal University, Turkey

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Numerical solution of time fractional Burgers equation"}

In this article, the time fractional order Burgers equation has been solved by quadratic B-spline Galerkin method. This method has been applied to three model...

Numerical solution of time fractional Burgers equation

Published Online: Feb 09, 2016

Page range: 167 - 185

Received: May 11, 2015

DOI: https://doi.org/10.1515/ausm-2015-0011

Keywords
finite element method, Galerkin method, time fractional Burgers equation, quadratic B-spline

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Numerical solution of time fractional Burgers equation

Published Online: Feb 09, 2016

Page range: 167 - 185

Received: May 11, 2015

DOI: https://doi.org/10.1515/ausm-2015-0011

Keywordsfinite element method, Galerkin method, time fractional Burgers equation, quadratic B-spline

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
finite element method, Galerkin method, time fractional Burgers equation, quadratic B-spline