A Parallel Laplace Transform Method For Diffusion Problems
With Discontinuous Boundary Conditions
Author(s)
A. J. Davies, D. Crann and J. Mushtaq
Abstract
A parallel Laplace transform method for diffusion
problems with discontinuous boundary conditions
A. J. Davies, D. Crann and J. Mushtaq
Department of Mathematics, University of Hertfordshire, UK.
Abstract
The Laplace transform method in the time variable provides an excellent
alternative to the finite difference method for the solution of diffusion-type
problems. Stehfest's numerical inversion process provides a stable and accurate
method. The boundary-value problem in the transform space may be solved by a
variety of methods and we shall use a finite difference approach leading to the
usual five-point stencil for the Laplacian operator. The inversion via Stehfest's
method may be effected for any value of the time variable and as such leads to a
direct domain-decomposition in time. This inherent data-parallelism is well-
suited to an implementation on an MIMD parallel environment. Such an
implementation is of the SPMD type with the same program on each processor.
Keywords
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