摘要
(1)用三次H样条为基函数对一类函数方程给出了配置求解方法;(2)探讨了配置解的存在性、唯一性和收敛性;(3)估计了误差的收敛阶;(4)对几种数值方法作了比较。
Four main points of the article are as follows: Using three order H-splines basic function, a collocation's solution to a kind of function equation has been given.The existence, uniqueness and convergence of the collocation's solution are discussed. The convergence order of error has been estimated. Several kinds of numerical method have been compared.
关键词
基函数
配置法
H样条
函数方程
three order hermite splines space, basic function, collocation's method
