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