On the Behavior of Combination High-Order Compact Approximations with Preconditioned Methods in the Diffusion-Convection Equation
Ahmad Golbabai, Mahboubeh Molavi-Arabshahi
DOI: 10.4236/am.2011.212208   PDF    HTML     3,586 Downloads   7,144 Views   Citations


In this paper, a family of high-order compact finite difference methods in combination preconditioned methods are used for solution of the Diffusion-Convection equation. We developed numerical methods by replacing the time and space derivatives by compact finite-difference approximations. The system of resulting nonlinear finite difference equations are solved by preconditioned Krylov subspace methods. Numerical results are given to verify the behavior of high-order compact approximations in combination preconditioned methods for stability, convergence. Also, the accuracy and efficiency of the proposed scheme are considered.

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A. Golbabai and M. Molavi-Arabshahi, "On the Behavior of Combination High-Order Compact Approximations with Preconditioned Methods in the Diffusion-Convection Equation," Applied Mathematics, Vol. 2 No. 12, 2011, pp. 1462-1468. doi: 10.4236/am.2011.212208.

Conflicts of Interest

The authors declare no conflicts of interest.


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