A low-order meshless model for multidimensional heat conduction problems

摘要

In this paper, a perturbation method is used to solve a two-dimensional unsteady heat con duction problem. Low-order transfer functions are defined. Step responses are obtained and compared to the complete numerical solutions given by a meshless method. The ana lytical results are found to be in good agreement with numerical solutions which reveals the effectiveness and convenience of the used method.