doi: 10.7763/IJAPM.2013.V3.230
Crank-Nicolson Type Method for Burgers Equation
Sachin S. Wani
1
,
Sarita H. Thakar
2
- 1 the Department of Applied Mathematics Pillai’s Institute of Information Technology New panvel Navi Mumbai, India
- 2 the Department of Mathematics, Shivaji University Kolhapur, India
Abstract
In this paper we presented Crank-Nicolson type scheme for numerical solution of one dimensional non linear Burgers equation with Homogeneous Dirichelets Boundary conditions. The difference scheme is shown to be consistent and is of second order in time and space. The numerical solutions are obtained for two test problems for different values of t and constant of diffusivity k. The solutions are compared with existing methods.
Keywords
- Absolute error
- burgers equation
- convergence
- Crank-Nicolson
How to Cite
Sachin S. Wani and Sarita H. Thakar, "Crank-Nicolson Type Method for Burgers Equation," International Journal of Applied Physics and Mathematics, vol. 3, no. 5, pp. 324-328, 2013. https://doi.org/ 10.7763/IJAPM.2013.V3.230
Copyright & License
Copyright © 2013 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).