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用于积分方程解的函数值Padé-型逼近的恒等式与递推算法

潘宝珍   

  1. 上海大学数学系, 上海 200436
  • 收稿日期:2004-09-29 修回日期:2005-01-12 出版日期:2006-01-31 发布日期:2006-01-31

Identities and Recursive Algorithm of Function-Valued Padé-Type Approximation for Solution to Integral Equations

Pan Baozheng   

  1. Department of Mathematics, Shanghai University, Shanghai 200436, China
  • Received:2004-09-29 Revised:2005-01-12 Online:2006-01-31 Published:2006-01-31

被引次数

5

摘要：

函数值Padé-型逼近被引入来求解积分方程. 本文建立了函数值Padé-型逼近的几个有用的恒等式，给出了一种递推算法，并通过实例说明了该方法的有效性.

关键词:

, 函数值Padé-型逼近, 第二类Fredholm积分方程, 恒等式, 递推算法

Abstract: To solve Fredholm integral equations of the second kind, a generalized linear functional was introduced and then function-valued Padé-type approximation was defined. Some useful identities are established by means of error formulas for function-valued Padé-type approximation. A recursive algorithm is also constructed. An example is given to show effectiveness of this method.

Key words: functional valued, Padé-type approximation, identities, recursive algorithm, Fredholm integral equations.