Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (6): 853-860 .doi: https://doi.org/10.1007/s10483-006-0616-y

• 论文 • 上一篇    

ORTHOGONAL POLYNOMIALS AND DETERMINANT FORMULAS OF FUNCTION VALUED PADÉ-TYPE APPROXIMATION USING FOR SOLUTION OF INTEGRAL EQUATIONS

顾传青, 潘宝珍, 吴蓓蓓   

  • 收稿日期:2004-03-30 修回日期:2006-02-24 出版日期:2006-06-18 发布日期:2006-06-18
  • 通讯作者: 顾传青

ORTHOGONAL POLYNOMIALS AND DETERMINANT FORMULAS OF FUNCTION VALUED PADÉ-TYPE APPROXIMATION USING FOR SOLUTION OF INTEGRAL EQUATIONS

GU Chuan-qing, PAN Bao-zhen, WU Bei-bei   

  1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China
  • Received:2004-03-30 Revised:2006-02-24 Online:2006-06-18 Published:2006-06-18
  • Contact: GU Chuan-qing

PDF

434

Abstract: To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Padé-type approximation is defined. By means of the power series expansion of the solution, this method can construct an approximate solution to solve the given integral equation. On the basis of the orthogonal polynomials, two useful determinant expressions of the numerator polynomial and the denominator polynomial for Padé-type approximation are explicitly given.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn