摘要
本文构造了一阶非线性带奇异核的Fredholm积分——微分方程的一类新的三次基样条配置解法。并且在定理1和定理2中,给出了配置解和原方程解Y(t)的误差估计:
This paper presents a new cubic basic basic spline collocation method for one order non-linear Fredholm integro-differential equations with weak singular kernels, The author obtained an error estimate of collocation solution and equation solution from theorem Ⅰ and theorem Ⅱ.
出处
《西南石油大学学报(自然科学版)》
CAS
CSCD
1992年第3期118-126,共9页
Journal of Southwest Petroleum University(Science & Technology Edition)
关键词
奇异积分方程
积分微分方程
样条函数
配置方法
Singular Integro equation
Integro-Differential equations
Spline
Collocation Method