Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631302 | Applied Mathematics and Computation | 2012 | 13 Pages |
Abstract
In this paper, by using a new non-polynomial parameters cubic spline in space direction and compact finite difference in time direction, we get a class of new high accuracy scheme of O(τ4 + h2) and O(τ4 + h4) for solving telegraph equation if we suitably choose the cubic spline parameters. Meanwhile, stability condition of the difference scheme has been carried out. Finally, numerical examples are used to illustrate the efficiency of the new difference scheme.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Heng-fei Ding, Yu-xin Zhang, Jian-xiong Cao, Jun-hong Tian,