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Hybrid Finite Difference Schemes Arising From Operator Splitting



Год выпуска: 2014
Автор: John Kimutai Rotich
Издательство: LAP Lambert Academic Publishing
Страниц: 52
ISBN: 9783659665851
Описание
This book explains a step by step approach taken to develop a hybrid finite difference scheme from finite difference and operator splitting for the 2-D linear parabolic equation. Among the hybrid schemes developed are the Crank-Nicholson -Du Fort and Frankel, Crank-Nicholson-Lax-Friedrichs’ and Crank-Nicholson- Du Fort and Frankel-Lax-Friedrichs’ method. Crank-Nicholson-Du-Fort and Frankel is a hybrid scheme made by blending the Crank-Nicholson with Du-Fort and Frankel schemes. The Crank-Nicholson-Lax-Friedrichs’ scheme is a hybrid scheme made by blending the Crank-Nicholson with Lax-Friedrichs’ scheme. Crank-Nicholson-Du-Fort and Frankel-Lax-Friedrichs’ method is a hybrid scheme made by blending the Crank-Nicholson, Du-Fort and Frankel and Lax-Friedrichs’ schemes. All the schemes developed are derived from the Crank-Nicholson method and so they are unconditionally stable. The findings are out of advanced research done and analysis was done by MATLAB. The book is highly recommended...


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