Title :
Numerical Methods for Solving the Direct and Inverse Problems of the Parabolic Equation
Author :
Zou, Guang-an ; Wang, Bo
Author_Institution :
Coll. of Math. & Inf. Sci., Henan Univ., Kaifeng, China
Abstract :
In this paper, inverse parabolic problem with unknown boundary condition are divided into two separate problems, which is direct and inverse problem, finite difference method (FDM) and finite volume method (FVM) will be used to solve these two problems. The surface heat flux histories at x=0 will be identified from the over-specified data by the FVM and weight coefficient method. Numerical example will also be presented, and the results show that our method is useful and effective.
Keywords :
numerical analysis; parabolic equations; FDM; FVM; boundary condition; direct problems; finite difference method; finite volume method; inverse problems; numerical methods; parabolic equation; Boundary conditions; Equations; Finite difference methods; Finite volume methods; Heat transfer; Inverse problems;
Conference_Titel :
Internet Technology and Applications (iTAP), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-7253-6
DOI :
10.1109/ITAP.2011.6006239
