Solving linear diffusion equations with the dual reciprocity method in Laplace space

Abstract The dual reciprocity method (DRM) is applied in the Laplace space to solve efficiently time-dependent diffusion problems. Since there is no discretation in time and there are no domain integrals involved in a calculation, the proposed approach seems to have provided considerable savings on computer operating costs and in data preparation, and thus leads to certain advantages over existing methods. Three numerical examples are presented, which demonstrate well the efficiency and accuracy of the new approach.

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