Hybrid Finite Difference Schemes Arising From Operator Splitting

ISBN-13: 9783659665851 / Angielski / Miękka / 2014 / 52 str.

Kimutai Rotich John

Opis

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 for researches and academicians with an interest in Numerical solutions of linear and non-linear equations.

O autorze

John Rotich is a lecturer at University of Kabianga, Kenya. He is also a PhD student at University of Eldoret and a graduate in Msc. Applied Mathematics. He is a specialist in Numerical Analysis, he has carried out several research work on Numerical methods of solving both linear and non-linear equations. He is also a specialist in use of MATLAB.