Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems
We investigate the applicability of the compact finite difference relaxation method (CFDRM) in solving unsteady boundary layer flow problems modelled by nonlinear partial differential equations. The CFDRM utilizes the Gauss-Seidel approach of decoupling algebraic equations to linearize the governing...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/941096 |
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| author | P. G. Dlamini S. S. Motsa M. Khumalo |
| author_facet | P. G. Dlamini S. S. Motsa M. Khumalo |
| author_sort | P. G. Dlamini |
| collection | DOAJ |
| description | We investigate the applicability of the compact finite difference relaxation method
(CFDRM) in solving unsteady boundary layer flow problems modelled by nonlinear
partial differential equations. The CFDRM utilizes the Gauss-Seidel approach of
decoupling algebraic equations to linearize the governing equations and solve the
resulting system of ordinary differential equations using compact finite difference
schemes. The CFDRM has only been used to solve ordinary differential equations
modelling boundary layer problems. This work extends its applications to nonlinear
partial differential equations modelling unsteady boundary layer flows. The
CFDRM is validated on two examples and the results are compared to results of
the Keller-box method. |
| format | Article |
| id | doaj-art-87e4ca3df63e44a29371a6fa2460b67c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-87e4ca3df63e44a29371a6fa2460b67c2025-02-03T06:47:23ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/941096941096Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow ProblemsP. G. Dlamini0S. S. Motsa1M. Khumalo2Department of Mathematics, University of Johannesburg, P.O. Box 17011, Doornfontein 2028, South AfricaSchool of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Pietermaritzburg, Scottsville 3209, South AfricaDepartment of Mathematics, University of Johannesburg, P.O. Box 17011, Doornfontein 2028, South AfricaWe investigate the applicability of the compact finite difference relaxation method (CFDRM) in solving unsteady boundary layer flow problems modelled by nonlinear partial differential equations. The CFDRM utilizes the Gauss-Seidel approach of decoupling algebraic equations to linearize the governing equations and solve the resulting system of ordinary differential equations using compact finite difference schemes. The CFDRM has only been used to solve ordinary differential equations modelling boundary layer problems. This work extends its applications to nonlinear partial differential equations modelling unsteady boundary layer flows. The CFDRM is validated on two examples and the results are compared to results of the Keller-box method.http://dx.doi.org/10.1155/2013/941096 |
| spellingShingle | P. G. Dlamini S. S. Motsa M. Khumalo Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems Advances in Mathematical Physics |
| title | Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems |
| title_full | Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems |
| title_fullStr | Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems |
| title_full_unstemmed | Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems |
| title_short | Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems |
| title_sort | higher order compact finite difference schemes for unsteady boundary layer flow problems |
| url | http://dx.doi.org/10.1155/2013/941096 |
| work_keys_str_mv | AT pgdlamini higherordercompactfinitedifferenceschemesforunsteadyboundarylayerflowproblems AT ssmotsa higherordercompactfinitedifferenceschemesforunsteadyboundarylayerflowproblems AT mkhumalo higherordercompactfinitedifferenceschemesforunsteadyboundarylayerflowproblems |