Differential transformation approach to thermal conductive problems with discontinuous boundary condition

作者：Jang Ming Jyi; Yeh Yen Liang^*; Chen Chieh Li; Yeh Wei Chih

来源：Applied Mathematics and Computation, 2010, 216(8): 2339-2350.

DOI：10.1016/j.amc.2010.03.079

• Differential transformation
• Thermal conductive
• Non-continuous
• Two-dimensional T-spectra

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.

• 出版日期2010-6-15