کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423104 | 1341248 | 2011 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A new high accuracy locally one-dimensional scheme for the wave equation A new high accuracy locally one-dimensional scheme for the wave equation](/preview/png/6423104.png)
In this paper, a new locally one-dimensional (LOD) scheme with error of O(Ît4+h4) for the two-dimensional wave equation is presented. The new scheme is four layer in time and three layer in space. One main advantage of the new method is that only tridiagonal systems of linear algebraic equations have to be solved at each time step. The stability and dispersion analysis of the new scheme are given. The computations of the initial and boundary conditions for the two intermediate time layers are explicitly constructed, which makes the scheme suitable for performing practical simulation in wave propagation modeling. Furthermore, a comparison of our new scheme and the traditional finite difference scheme is given, which shows the superiority of our new method.
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 6, 15 October 2011, Pages 1343-1353