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

Published online by Cambridge University Press:  21 May 2014

Hai-Yan Cao ,
Zhi-Zhong Sun  and
Xuan Zhao
Hai-Yan Cao*
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210096, China
Zhi-Zhong Sun*
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210096, China
Xuan Zhao*
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210096, China
*
Email: maths@seu.edu.cn
Corresponding author. Email: zzsun@seu.edu.cn
Email: xuanzhao11@gmail.com or xzhao@seu.edu.cn
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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∞-norm of the difference scheme are proved. One numerical example is presented to demonstrate the accuracy and efficiency of the proposed method.

Keywords

65M0665M1265M1278M2080M20Magneto-thermo-elasticityconservationfinite differencesolvabilitystabilityconvergence
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 3 , June 2014 , pp. 281 - 298
Copyright
Copyright © Global-Science Press 2014

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