Finite element method for Burgers equation using cubic B-spline approximation

Authors:
S. Dhawan;S. Kumar
Affiliations:
Department of Mathematics, National Institute of Technology, Jalandhar, India;Department of Mathematics, National Institute of Technology, Jalandhar, India
Venue:
ACC'11/MMACTEE'11 Proceedings of the 13th IASME/WSEAS international conference on Mathematical Methods and Computational Techniques in Electrical Engineering conference on Applied Computing
Year:
2011

Citing 2
Cited 0

Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method

Journal of Computational and Applied Mathematics
Space-time Galerkin least-squares method for the one-dimensional advection-diffusion equation

International Journal of Computer Mathematics

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Abstract

In this paper we present numerical solution of Burgers equation using cubic B-spline functions. In the past, difficulties have been experienced while getting its numerical solution. So it is worth to find the schemes that can solve it efficiently giving accurate and stable solutions. The current work aims to develop an algorithm that is easy to understand and implement. Numerical experiments shows that the scheme is capable in achieving results of high accuracy.