Spatial exponential fitting scheme for the solution of steady and unsteady diffusion-convection problems in two-dimensions |
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Authors: | S.E. El-Gendi A.B. Shamardan |
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Affiliation: | Department of Mathematics, The University, Assiut, Egypt |
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Abstract: | Using a spatial exponential fitting scheme, the steady diffusion-convection problem in two-dimensions is reduced to a system of linear equations, while the unsteady problem is reduced to a system of ordinary-differential equations that may be solved by a fully-implicit time scheme. Also, a predictor-corrector fitting scheme is presented for solving the unsteady problem. Numerical results for the Raithby steady problem and the unsteady dispersion in a shallow sea problem are shown. |
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Keywords: | mathematical model convection-diffusion problems two-dimensions |
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