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Title: | Hybrid crank-nicolson-du fort and frankel (CN-DF) scheme for the numerical solution of the 2-D coupled burgers’ system |
Authors: | Cleophas, Kweyu Benjamin, Nyamai John, Wahome |
Keywords: | 2-D Burgers’ equation fifth order accurate in space L 1 error Hybrid CN-DF method |
Issue Date: | 2014 |
Abstract: | The two dimensional coupled Burgers’ equations constitute an appropriate model for developing computational algorithms, for solving the incompress- ible Navier-Stokes equations. Moreover, they are generally used as transport equations because they model a number of fluid flow phenomena, for example, turbulent flow, shock wave formation and boundary layer formation. In this paper, we develop a hybrid Crank-Nicolson and Du Fort and Frankel (CN- DF) scheme. The hybrid CN-DF is developed by introducing the Du Fort and Frankel (DF) properties into the Crank-Nicolson scheme (CN). This is a three- level scheme and is also unconditionally stable. Numerical solutions from the hybrid scheme are obtained by the use of MATLAB software. By use of L 1 error, it is determined that the hybrid scheme is fifth order accurate in space and produces better results in comparison to the pure Crank-Nicolson and the pure Du Fort and Frankel schemes |
URI: | http://ir.mu.ac.ke:8080/jspui/handle/123456789/2942 |
Appears in Collections: | School of Biological and Physical Sciences |
Files in This Item:
File | Description | Size | Format | |
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Kweyu cleophas etal 2014.pdf | 309.25 kB | Adobe PDF | ![]() View/Open |
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