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

机译：广义梯形公式对带源项的电报方程的数值解

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In this paper, a class of two-level difference schemes including a parameter are discussed for the numerical solution of one-dimensional telegraphic equations with source terms, where ? ? [0,4]. The truncation errors of these schemes are O (k2 + h4) if ? ? 1/3. For ? ? 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.

机译：本文针对带源项的一维电报方程的数值解，讨论了一类包括参数的两级差分格式。？ [0,4]。如果？，这些方案的截断误差为O（k2 + h4）。？ 1/3。为了？？ 1/3，本方案的精度提高到O（k3 + h4）。数值结果证明了这些现有方案的优越性。数值结果还表明，这些方案是无条件稳定的。

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《Fourth International Joint Conference on Computational Sciences and Optimization》|2011年|p.3-6|共4页
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Cao Huai-Huo; Liu Li-Bin; Zhang Yong;
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正文语种
中图分类计算技术、计算机技术;
关键词
Difference scheme; Generalized trapezoidal; Source term; Telegraphic equation;

机译：差分方案;广义梯形;源项;电报方程;

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

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