The Modified Local Crank-Nicolson method for one- and two-dimensional Burgers' equations

Authors:
Pengzhan Huang;Abdurishit Abduwali
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

The Modified Local Crank-Nicolson method is applied to solve one- and two-dimensional Burgers' equations. New difference schemes that are explicit, unconditionally stable, and easy to compute are obtained. Numerical solutions obtained by the present method are compared with exact solutions, and it is seen that they are in excellent agreement.