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

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 e...

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Published inApplied mathematics and mechanics Vol. 27; no. 6; pp. 853 - 860
Main Author 顾传青 潘宝珍 吴蓓蓓
Format Journal Article
LanguageEnglish
Published 01.06.2006
Subjects
Approximation
Construction
Determinants
Integral equations
Mathematical analysis
Power series
决定公式
正交多项式
积分方程
线性函数
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ISSN0253-4827
1573-2754
DOI10.1007/s10483-006-0616-y

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Summary: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.
Bibliography:generalized linear functional
generalized linear functional; function-valued; Padé-type approximation Fredholm integral equation; orthogonal polynomial; determinant formula
orthogonal polynomial
31-1650/O1
O241.83
Padé-type approximation Fredholm integral equation
function-valued
determinant formula
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-006-0616-y