@Article{AAMM-6-3,
author = {Hai-Yan, Cao and Zhi-Zhong, Sun and Zhao, Xuan},
title = {A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {3},
pages = {281--298},
abstract = {<p style="text-align: justify;">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 &nbsp;to demonstrate the accuracy and efficiency of
the proposed method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-m1295},
url = {https://global-sci.com/article/73440/a-second-order-three-level-difference-scheme-for-a-magneto-thermo-elasticity-model}
}