A Differential Quadrature Method for Multi-Dimensional Inverse Heat Conduction Problem of Heat Source
Jiun-Yu Wu; Chih-Wen Chang

Source CMC: Computers, Materials & Continua, Vol. 25, No. 3, pp. 215-238, 2011
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Keywords Differential quadrature method (DQM), Heat source, Inverse heat conduction problem, Heat conduction equation, Ill-posed problem
Abstract In this paper, we employ the differential quadrature method (DQM) to tackle the inverse heat conduction problem (IHCP) of heat source. These advantages of this numerical approach are that no a priori presumption is made on the functional form of the estimates, and that evaluated heat source can be obtained directly in the calculation process. Seven examples show the effectiveness and accuracy of our algorism in providing excellent estimates of unknown heat source from the given data. We find that the proposed scheme is applicable to the IHCP of heat source. Even though the noise is added to the exact temperature, the DQM is still robust against disturbance.
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