Author(s)

S. Zhu & P. Satravaha

Abstract

In this paper, a numerical method with the combined Laplace transform and the Dual Reciprocity Method proposed by Zhu et al. [I] is extended to solve time-dependent diffusion equations with nonlinear source terms. The nonlinear source terms are linearised first and then an iteration is carried out until a convergent value of the unknown function at a desired time level is obtained. We shall demonstrate, through the preliminary results of our numerical experiments, that the method allows an accurate numerical solu- tion at any desired observation time to be calculated directly and efficiently. It is believed that such a high efficiency is achieved as a direct consequence of the fact that no domain integral is

Keywords