TY - JOUR
T1 - Hybrid differential transform and finite difference method to solve the nonlinear heat conduction problem
AU - Chu, Hsin Ping
AU - Chen, Chieh Li
N1 - Funding Information:
The work was supported by the National Science Council of Taiwan under grant No. NSC93-2212-E006-020.
PY - 2008/10
Y1 - 2008/10
N2 - In this paper, the differential transform is employed to discuss the behaviors of nonlinear heat conduction problem. A hybrid method of differential transform and finite difference approach is proposed to solve the transient responses of a nonlinear heat conduction problem. Different parameters of the equation and boundary conditions are considered to verify the feasibility of the proposed method to such problems. Simulation results are illustrated and discussed in comparison with the linear case. The results show that the hybrid method can achieve good results for such problems.
AB - In this paper, the differential transform is employed to discuss the behaviors of nonlinear heat conduction problem. A hybrid method of differential transform and finite difference approach is proposed to solve the transient responses of a nonlinear heat conduction problem. Different parameters of the equation and boundary conditions are considered to verify the feasibility of the proposed method to such problems. Simulation results are illustrated and discussed in comparison with the linear case. The results show that the hybrid method can achieve good results for such problems.
UR - http://www.scopus.com/inward/record.url?scp=39149142200&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=39149142200&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2007.03.002
DO - 10.1016/j.cnsns.2007.03.002
M3 - Article
AN - SCOPUS:39149142200
SN - 1007-5704
VL - 13
SP - 1605
EP - 1614
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 8
ER -