论文信息 - Differential transformation technique for steady nonlinear heat conduction problems

Differential transformation technique for steady nonlinear heat conduction problems

In this paper, the differential transformation method is applied to solve steady nonlinear heat conduction problems. The proposed approach provides a new iterative procedure to find the spectrum of the analytic solutions. Therefore, approximate solutions can be obtained in the form of Taylor's series expansion throughout the range of interest.

Chieh-Li Chen | Yung-Chin Liu | Chieh-Li Chen | Yung-Chin Liu

[1] Angelo Miele,et al. Parallel computation of two-point boundary-value problems via particular solutions , 1993 .

[2] H. Li. Solving a nonlinear two-point boundary value problem , 1992, [Proceedings] 1992 IEEE International Conference on Systems, Man, and Cybernetics.

[3] Michael D. Greenberg,et al. Foundations of Applied Mathematics , 1978 .

[4] J. Geer,et al. HYBRID PERTURBATI0IM-GALERK1N TECHNIQUE FOR NONLINEAR HEAT CONDUCTION PROBLEMS I: STEADY PROBLEMS , 1996 .

[5] J. C. Jaeger,et al. Conduction of Heat in Solids , 1952 .

[6] Chieh-Li Chen,et al. Application of Taylor transformation to nonlinear predictive control problem , 1996 .