Differential transformation approach to thermal conductive problems with discontinuous boundary condition |
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| Authors: | Ming-Jyi Jang Chieh-Li Chen |
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| Institution: | a Department of Automation and Control Engineering, Far East University, Tainan 744, Taiwan, ROC
b Institute of Aeronautics and Astronautics, National Cheng-Kung University, Tainan 70101, Taiwan, ROC |
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| Abstract: | A two-dimensional differential transformation method is employed to reduce the partial differential equations of the non-continuous thermal conductive boundary value problem to a Taylor series in a polynomial form. The partial differential equations are solved by the two-dimensional T-spectra method of differential transformation and by the use of trial initial polynomial conditions. The investigative parameters include the time-step of the differential transformation and the number of sub-domain segments. The numerical simulation results indicate that the proposed approach using the two-dimensional T-spectra method of differential transformation is applicable to the solution of non-continuous thermal conductive boundary value problems. |
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| Keywords: | Differential transformation Thermal conductive Non-continuous Two-dimensional T-spectra |
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