西南石油大学学报(自然科学版) ›› 1992, Vol. 14 ›› Issue (3): 118-126.DOI: 10.3863/j.issn.1000-2634.1992.03.017

• 数学 • 上一篇    下一篇

带弱奇异核的Fredholm型积分一微分方程的三次基样条配置方法

冯伟森

  

  1. (基础学科部)
  • 收稿日期:1991-06-09 修回日期:1900-01-01 出版日期:1992-08-20 发布日期:1992-08-20
  • 通讯作者: 冯伟森

A COLLOCATION METHOD OF TERTIARY SPLINE FUNCTIONS FOR FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS WITH WEAK SINGULAR KLRNELS

Feng We-isen

  

  1. (Deporlrirent of Basic Courses)
  • Received:1991-06-09 Revised:1900-01-01 Online:1992-08-20 Published:1992-08-20
  • Contact: Feng Wei-sen

摘要: 本文构造了一阶非线性带奇异核的Fredholm积分—徽分方程的一类新的三次签样条配五解法,并耳在定理1和定理2中;给出了配置解和原方程解Y(t)的误差估计

关键词: 奇异积分方程 积分微分方程 样条函数, 配置方法

Abstract: 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 so-
lution and equation solution from theorem I and tneot'em II

Key words: Singular Integro equation, Integro-Differential equations, Spline, Collocation Method

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