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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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.
Author Details
-
An RBF based meshless method for the distributed order time fractional advection–diffusion equation
Liu, Quanzhen
Mu, Shanjun
Liu, Qingxia
Liu, Baoquan
Bi, Xiaolei
Zhuang, Pinghui
Li, Bochen
Gao, Jian
Engineering Analysis with Boundary Elements, Vol. 96 (2018), Iss. P.55
https://doi.org/10.1016/j.enganabound.2018.08.007 [Citations: 14]