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Crank-Nicholson -Lax-Friedrichs Finite Difference Schemes Arising From Operator Splitting For Solving 2-Dimensional Heat Equation

Journal: International Journal of Scientific & Technology Research (Vol.3, No. 11)

Publication Date:

Authors : ; ; ;

Page : 303-306

Keywords : Index Terms Crank-Nicholson; Finite Difference Schemes; Lax-Friedrich; Operator Splitting;

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Abstract

Abstract We develop hybrid finite difference schemes arising from operator splitting to solve 2-D heat equations. We developed the Crank-Nicholson-Lax-Fredricks hybrid scheme and determine that the method is more accurate than pure Crank-Nicholson method. The method is unconditionally stable because it is Crank-Nicholson based.

Last modified: 2015-06-28 04:03:31