一类变系数非齐次电报方程的数值解法Numerical Method for Non-homogeneous Telegraph Equation with Variable Coefficient
任佰荟,苏令德,姜自武
摘要(Abstract)：
利用特解方法数值求解一类变系数非齐次电报方程.首先用有限差分方法对时间方向进行离散,进而转化为在空间方向上利用特解方法进行近似,最终利用待定系数法逐步求出在不同时刻的方程的数值解.利用Matlab程序对给定的方程进行数值求解并进行误差估计.通过数值算例,可见所采用的数值方法具有较高的近似精度.
关键词(KeyWords)： 变系数;非齐次电报方程;数值解;径向基函数;特解法
基金项目(Foundation): 国家自然科学基金青年基金资助项目(11301252)
作者(Author): 任佰荟,苏令德,姜自武
DOI: 10.16393/j.cnki.37-1436/z.2016.02.001
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