Numerical solution of telegraphic equations with source term using the generalized trapezoidal formula
In this paper, a class of two-level difference schemes including a parameter 6 are discussed for the numerical solution of one-dimensional telegraphic equations with source terms, where θε 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 0k3 +h4) . Numerical results demonstrate the superiority of these present schemes. It is also shown that these schemes are unconditionally stable by the numerical results.
Telegraphic equation Generalized trapezoidal Difference scheme Source term
Huai-Huo Cao Li-Bin Liu Yong Zhang
Department of Mathematics and Computer Science, Chizhou College, Chizhou, Anhui 247000, P.R. China
国际会议
昆明、丽江
英文
3-6
2011-04-15（万方平台首次上网日期，不代表论文的发表时间）