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Numerical Solution of Telegraphic Equations with Source Term Using the Generalized Trapezoidal Formula

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3 Author(s)
Huai-Huo Cao ; Dept. of Math. & Comput. Sci., Chizhou Coll., Chizhou, China ; Li-Bin Liu ; Yong Zhang

In this paper, a class of two-level difference schemes including a parameter θ are discussed for the numerical solution of one-dimensional telegraphic equations with source terms, where θ∈[0,1]. The truncation errors of these schemes are O (k2 + h4) if θ ≠ 1/3. For θ = 1/3, the accuracy of the present scheme is improved to O(k3 + h4). Numerical results demonstrate the superiority of these present schemes. It is also shown that these schemes are unconditionally stable by the numerical results.

Published in:

Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on

Date of Conference:

15-19 April 2011