A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model  

作　　者：Hai-Yan Cao Zhi-Zhong Sun Xuan Zhao 

机构地区：[1]Department of Mathematics,Southeast University,Nanjing 210096,China

出　　处：《Advances in Applied Mathematics and Mechanics》2014年第3期281-298,共18页应用数学与力学进展（英文）

基　　金：National Natural Science Foundation of China(No.11271068);the Research and Innovation Project for College Graduates of Jiangsu Province(No.CXLX110093).

摘　　要：This article deals with the numerical solution to the magneto-thermoelasticity model,which is a system of the third order partial differential equations.By introducing a new function,the model is transformed into a system of the second order generalized hyperbolic equations.A priori estimate with the conservation for the problem is established.Then a three-level finite difference scheme is derived.The unique solvability,unconditional stability and second-order convergence in L∞-norm of the difference scheme are proved.One numerical example is presented to demonstrate the accuracy and efficiency of the proposed method.

关 键 词：Magneto-thermo-elasticity conservation finite difference SOLVABILITY stability convergence. 

分 类 号：O17[理学—数学]