A Differential Quadrature Method for Solving Multi-Dimensional Inverse Heat Conduction Problem

Abstract

In this paper, the differential quadrature method (DQM) is applied to evaluate the multi-dimensional inverse heat conduction problem (IHCP). The DQM is employed to discretize space domain, and the forward difference method is employed to discretize time domain. Three examples show that the numerical method is accurate. When the noise is added to the exact temperature, the DQM is still a stable and accurate method. Our numerical results are compared with other literatures and show that the method achieves higher accuracy than other methods. Therefore, a simple, convenience, and stable method for evaluate inverse problem is obtained.