Author(s)

M. Zerroukat & H. Power

Abstract

On time-dependent domain integral approximation using radial basis functions M. Zerroukat & H. Power 7/4,4, Abstract Using time-dependent fundamental solution in the boundary element for the solution of transient-diffusion type equations has a high com- putational cost, for large number of time steps, due to the inherent time history constraint in the integral representation. In general, the solution for n domain and m boundary points at the fc-th time-step re- quires an amount of computer operations of the order O(km? + knm). This paper presents a time-marching scheme that requires a compu- tational cost of the order of only O(m? 4- nm), where the dependence from the past /c-steps is removed. The scheme uses the time depen- dent fundamental solution but the time integration is performed over one time-step only and the rest of the history integral is converted to a domain integral and approximated using radial basis functions. 1 Introduction The numerical

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