Hybrid Spline Difference Method for Steady-State Heat Conduction |
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| Authors: | Chi-Chang Wang Huang Chen-Hung Dane-Jong Yang |
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| Affiliation: | 1. Ph. D. Program of Mechanical and Aeronautical Engineering , Feng Chia University , Seatwen, Taichung, Taiwan, Republic of China chicwang@fcu.edu.tw;3. Ph. D. Program of Mechanical and Aeronautical Engineering , Feng Chia University , Seatwen, Taichung, Taiwan, Republic of China |
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| Abstract: | This work proposes a simple and high-precision hybrid spline difference method, and finds that the computing method of spline difference is as simple as that of the finite-difference method. It also discusses steady-state heat conduction problems to overcome the complex computation and time-consuming problems of the previous spline method. In addition, due to the concept of hybrid parameters, the truncation error of numerical solutions is enhanced to o(h4). This method is expected to be a simple and high-precision numerical method that can replace the finite-difference method. |
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