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World Journal of Engineering Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

An Official Publication of Society for Advance Healthcare Research (Reg. No. : 01/01/01/31674/16)

ISSN 2454-695X

Impact Factor : 7.029

ICV : 79.45

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Abstract

HOPSCOTCH-CRANK-NICHOLSON-LAX FREDRICK (HP-CN-LF) HYBRID METHOD FOR SOLVING TWO DIMENSIONAL SYSTEM OF BURGERS’ EQUATION

Simeon Kiprono Maritim, Dr. John Kimutai Rotich*, Prof. Jacob K. Bitok, Prof. Joel K. Tonui and Dr. Victor K. Kimeli

ABSTRACT

In this research the hybrid Hopscotch Crank-Nicholson- Lax Fredich’s method is developed to solve Burgers’ equations. Here a hybrid Hopscotch-Crank-Nicholson-Lax Fredrich finite difference scheme is proposed to solve 2-D Burgers equations. Hybrid Hopscotch-Crank- Nicholson-Lax Fredrich Scheme (HP-CN-LF) compared well with earlier developed schemes. It has proved to be stable, consistent and convergent.

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