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 |