Year: 2014
Author: Hai-Yan Cao, Zhi-Zhong Sun, Xuan Zhao
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 3 : pp. 281–298
Abstract
This article deals with the numerical solution to the magneto-thermo-elasticity 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 $L_{\infty}$-norm of the difference scheme are proved. One numerical example is presented to demonstrate the accuracy and efficiency of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-m1295
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 3 : pp. 281–298
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Magneto-thermo-elasticity conservation finite difference solvability stability convergence.