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Original Articles

The single term alternating group explicit (stage) methods for solving periodic parabolic problems

Pages 225-235 | Received 01 Sep 1989, Published online: 19 Mar 2007
 

Abstract

In 1983. Evans and Abdullah presented a new method, i.e. group explicit for the finite difference solution of a parabolic partial differential equation with Dirichlet boundary conditions. In this paper, we extend this group explicit strategy to a similar problem with periodic boundary conditions The stability of the method is discussed and the results of numerical experiments compared.

Finally, a modified form of the group explicit method is presented. The new method is shown to possess similar convergence and stability properties with a reduced computational effort for the same problem.

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