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# A Differential Quadrature Method for Multi-Dimensional Inverse Heat Conduction Problem of Heat Source

Jiun-Yu Wu1,2, Chih-Wen Chang3

Software Technology Division, National Center for High-Performance Computing, Taichung 40763, Taiwan
Department of Applied Mathematics, National Chung Hsing University, Taichung 40227, Taiwan
Grid Applied Technology Division, National Center for High-Performance Computing, Taichung 40763, Taiwan.
Corresponding author, Tel.: +886-4-24620202x860. E-mail address: 0903040@nchc.narl.org.tw

Computers, Materials & Continua 2011, 25(3), 215-238. https://doi.org/10.3970/cmc.2011.025.215

## 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.

## Keywords

APA Style
Wu, J., Chang, C. (2011). A differential quadrature method for multi-dimensional inverse heat conduction problem of heat source. Computers, Materials & Continua, 25(3), 215-238. https://doi.org/10.3970/cmc.2011.025.215
Vancouver Style
Wu J, Chang C. A differential quadrature method for multi-dimensional inverse heat conduction problem of heat source. Comput Mater Contin. 2011;25(3):215-238 https://doi.org/10.3970/cmc.2011.025.215
IEEE Style
J. Wu and C. Chang, "A Differential Quadrature Method for Multi-Dimensional Inverse Heat Conduction Problem of Heat Source," Comput. Mater. Contin., vol. 25, no. 3, pp. 215-238. 2011. https://doi.org/10.3970/cmc.2011.025.215

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