Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 969610, 17 pages
Research Article

An Unconditionally Stable Parallel Difference Scheme for Telegraph Equation

Department of Mathematics, University of Mohaghegh Ardabili, 56199-11367 Ardabil, Iran

Received 30 October 2008; Revised 22 January 2009; Accepted 23 February 2009

Academic Editor: Alois Steindl

Copyright © 2009 A. Borhanifar and Reza Abazari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We use an unconditionally stable parallel difference scheme to solve telegraph equation. This method is based on domain decomposition concept and using asymmetric Saul'yev schemes for internal nodes of each sub-domain and alternating group implicit method for sub-domain's interfacial nodes. This new method has several advantages such as: good parallelism, unconditional stability and better accuracy than original Saul'yev schemes. The details of implementation and proving stability are briefly discussed. Numerical experiments on stability and accuracy are also presented.