摘要
论述一类变系数电报方程的再生核数值解法.通过构造满足方程边值条件的再生核空间,利用再生核空间的良好性质获得方程精确解的表达式.构造了方程的近似解,证明了近似解及其导数的一致收敛性.数值模拟结果表明该方法简单有效.
In this paper, the reproducing numerical equation is disscussed. By constructing the reproducing method for a class of variable coefficient telegraph kernel space which satiefies the boundary value conditions, the exact solution and approximate solution are obtained, the approximate solution and its derivatives converge uniformly to the exact solution and its derivatives are proved. Numerical results demonstrate that the method is simple and valid.
出处
《哈尔滨师范大学自然科学学报》
CAS
2015年第2期50-52,共3页
Natural Science Journal of Harbin Normal University
基金
黑龙江省教育厅科学技术研究项目(12521466)
河北省自然科学基金(A2015202335)
关键词
变系数电报方程
再生核空间
数值解
Variable coefficient telegraph equation
Reproducing kernel space
Numerical solution
