Author(s)

A.J. Davies & D. Crann

Abstract

The Laplace transform has been shown to be well-suited to the solution of diffusion problems and provides an alternative to the finite difference method. Such problems, parabolic in time, are transformed to elliptic problems in the space variables. Any suitable solver may be used in the space domain and a numerical inversion of the transform is then performed. For parabolic problems the Stehfest numerical method has been shown to be accurate, robust and easy to implement. The boundary element method has been used by a variety of authors to solve the resulting elliptic problem. The initial conditions lead to a nonhomogenous Helmholtz-type problem which may be solved using the dual reciprocity method. Time-dependent boundary conditions are, in principle, easily implemented. Howev

Keywords