Orthogonal Polynomials and Determinant Formulas of Function-Valued Padé-Type Approximation Using for Solution of Integral Equations

GU Chuan-qing; PAN Bao-zheng; WU Bei-bei

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(6): 750-756

GU Chuan-qing, PAN Bao-zheng, WU Bei-bei. Orthogonal Polynomials and Determinant Formulas of Function-Valued Padé-Type Approximation Using for Solution of Integral Equations[J]. Applied Mathematics and Mechanics, 2006, 27(6): 750-756.

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Orthogonal Polynomials and Determinant Formulas of Function-Valued Padé-Type Approximation Using for Solution of Integral Equations

Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

Received Date: 2004-03-30
Rev Recd Date: 2006-02-24
Publish Date: 2006-06-15

Abstract

Abstract

To solve Fredholm integral equations of the second kind,a generalized linear functional is introduced and a new function-valued Pad-type approximation was 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 deter-minant expressions of the numerator polynomial and the denominator polynomial for Pad-type approximation were explicitly given.
- generalized linear functional,
- function-valued,
- Pad-type approximation,
- Fredholm integral equation,
- orthogonal polynomial,
- determinant formula

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References(8)

References

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