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IJSTR >> Volume 3- Issue 11, November 2014 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

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

[Full Text]



John K. Rotich, Simeon K. Maritim, Jakob K. Bitok



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



Abstract: We develop hybrid finite difference schemes arising from operator splitting to solve 2-D heat equations. We developed the Crank-Nicholson-Lax-Fredrick’s 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.



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