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DC Field | Value | Language |
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dc.contributor.author | Kweyu, M. C. | - |
dc.contributor.author | Manyonge, W. A. | - |
dc.contributor.author | Koross, A. | - |
dc.contributor.author | Ssemaganda, V. | - |
dc.date.accessioned | 2021-08-17T07:58:20Z | - |
dc.date.available | 2021-08-17T07:58:20Z | - |
dc.date.issued | 2012 | - |
dc.identifier.uri | http://ir.mu.ac.ke:8080/jspui/handle/123456789/5027 | - |
dc.description.abstract | In this paper, we generate varied sets of exact initial and Dirichlet boundary conditions for the 2-D Burgers’ equations from general ana- lytical solutions via Hopf-Cole transformation and separation of vari- ables. These conditions are then used for the numerical solutions of this equation using finite difference methods (FDMs) and in particular the Crank-Nicolson (C-N) and the explicit schemes. The effects of the variation in the Reynolds number are investigated and the accuracy of these schemes is determined by the L 1 error. The results of the explicit scheme are found to compare well with those of the C-N scheme for a wide range of parameter values. The variation in the values of the Reynolds number does not adversely affect the numerical solutions. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Chepkoilel University College | en_US |
dc.subject | Hopf-Cole transformation | en_US |
dc.subject | Finite difference methods | en_US |
dc.subject | Analytic solution | en_US |
dc.subject | Crank-Nicolson scheme | en_US |
dc.subject | Explicit scheme | en_US |
dc.title | Numerical solutions of the burgers’ system in two dimensions under varied initial and boundary conditions | en_US |
dc.type | Article | en_US |
Appears in Collections: | School of Biological and Physical Sciences |
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