Abstract
An idea of Allen and Southwell [1] is adapted to the numerical solution of a nonlinear parabolic partial differential equation governing convection-diffusion pro cesses. This idea enables us to derive a spatial variable exponential fitting scheme. Using this scheme reduces the problem under consideration to a nonlinear system of ordinary differential equations. This system is solved by using three-level time schemes. The stability analysis for such schemes are carried out by the matrix method for initial boundary-value linear model. Sample of our numerical experiments are given and compared with other methods.
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*At present: Department of Mathematics, The University, Doha, Qatar, P.O. Box 2713.
*At present: Department of Mathematics, The University, Doha, Qatar, P.O. Box 2713.
Notes
*At present: Department of Mathematics, The University, Doha, Qatar, P.O. Box 2713.