TY - JOUR
T1 - A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model
AU - Cao , Hai-Yan
AU - Sun , Zhi-Zhong
AU - Zhao , Xuan
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 281
EP - 298
PY - 2014
DA - 2014/06
SN - 6
DO - http://doi.org/10.4208/aamm.12-m1295
UR - https://global-sci.org/intro/article_detail/aamm/19.html
KW - Magneto-thermo-elasticity, conservation, finite difference, solvability, stability, convergence.
AB - <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>