A Formulation of Peaceman and Rachford ADI Method for the Three-Dimensional Heat Diffusion Equation

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A Formulation of Peaceman and Rachford ADI Method for the Three-Dimensional Heat Diffusion Equation

Ismail, I. A.; Zahran, E. H.; Shehata, M.

Mathematical and computational applications, 08/2004, Volume: 9, Issue: 2

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A formulation of an alternating direction implicit (ADI) method is given by extending peaceman and Rachford Scheme to three dimensions. The scheme becomes conditionally stable. The von Neumann stability analysis is performed. Numerical results for solving heat diffusion equation have been obtained for different specified boundary value problems to obtain a simple explicit stability.

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Ismail, I. A. | Zahran, E. H. | Shehata, M.

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