[1] Jiang Mingjie, Sun Zhizhong,. Second-order difference scheme for a nonlinear modelof wood drying process [J]. Journal of Southeast University (English Edition), 2006, 22 (4): 582-588. [doi:10.3969/j.issn.1003-7985.2006.04.028]

Copy

Second-order difference scheme for a nonlinear modelof wood drying process()

Share：

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

22

Issue:

2006 4

Page:

582-588

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2006-12-30

Info

Title:

Second-order difference scheme for a nonlinear modelof wood drying process

Author(s):

Jiang Mingjie;  Sun Zhizhong

School of Sciences, Southeast University, Nanjing 210096, China

Keywords:

wood drying process;  model;  nonlinear differential equation;  difference scheme;  method of reduction of order;  stability;  convergence

PACS:

O241.82

DOI:

10.3969/j.issn.1003-7985.2006.04.028

Abstract:

A numerical simulation for a model of wood drying process is considered.The model is given by a couple of nonlinear differential equations.One is a nonlinear parabolic equation and the other one is a nonlinear ordinary equation.A difference scheme is derived by the method of reduction of order.First, a new variable is introduced and the original problem is rewritten into a system of the first-order differential equations.Secondly, a difference scheme is constructed for the later problem. The solvability, stability and convergence of the difference scheme are proved by the energy method.The convergence order of the difference scheme is second-order both in time and in space.A prior error estimate is put forward.The new variable is put aside to reduce the computational cost.A numerical example testifies the theoretical result.

References:

[1] Choong E, Fogg P.Moisture movement in six wood species [J].Forest Products, 1968, 18(5):66-70.
[2] Cunningham M.A model to explain “anomalous” moisture sorption in wood under step function driving forces [J]. Wood Fiber Science, 1995, 27(3):265-277.
[3] Baronas R, Ivanauskas F, Sapagovas M.The influence of wood specimen geometry on moisture movement during drying [J].Wood Fiber Science, 2001, 33(2):166-172.
[4] Droin-Josseramd A, Taverdet J, Vergrand J.Modeling the absorption and desorption of moisture by wood in an atmosphere of constant and programmed relative humidity [J].Wood Science Technology, 1988, 22:299-310.
[5] Ciegis R.A finite-difference scheme for a nonlinear model for wood drying process [J].Lithuanian Mathematical Journal, 2003, 43(2):161-171.
[6] Sun Zhizhong.A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions [J].Journal of Computational and Applied Mathematics, 1996, 76(1, 2):137-146.
[7] Sun Zhizhong.The method of reduction of order for the numerical solution to elliptic differential equations [J].Journal of Southeast University(Natural Science Edition), 1993, 23(6):8-16.(in Chinese)

Memo

Memo:

Biographies: Jiang Mingjie(1981—), male, master, ocean102@qingdaonews.com; Sun Zhizhong(corresponding author), male, professor, zzsun@seu.edu.cn.

Common functions