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.

Index Terms—Absolute error, burgers equation, convergence, Crank-Nicolson.

Sachin S. Wani is with the Department of Applied Mathematics Pillai’s Institute of Information Technology New panvel Navi Mumbai, India (e-mail: sachin.swani@gmail.com).
Sarita H. Thakar is with the Department of Mathematics, Shivaji University Kolhapur, India (e-mail: saritakolhapur@gmail.com).

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.