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1 August 2004

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

,
and
1
Dean of the Faculty of Computers & Informatics Zagazig University, Egypt
2
Faculty of Engineering, Shobra, Zagazig University, Banha branch, Egypt
3
Departrnent of Math. Faculty of Science Zagazig University, Egypt
*
Author to whom correspondence should be addressed.
Math. Comput. Appl.2004, 9(2), 183-189;https://doi.org/10.3390/mca9020183
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Abstract

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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