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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |