| ORTHOGONAL POLYNOMIALS AND DETERMINANT FORMULAS OF FUNCTION-VALUED PADE-TYPE APPROXIMATION USING FOR SOLUTION OF INTEGRAL EQUATIONS |
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| 作者姓名： | 顾传青 潘宝珍 吴蓓蓓 |
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| 作者单位： | Department of Mathematics Shanghai University Shanghai 200444，P. R. China，Department of Mathematics Shanghai University，Shanghai 200444，P. R. China，Department of Mathematics Shanghai University，Shanghai 200444，P. R. China |
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| 摘 要： | To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Pade-type approximation is denned. 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 Pade-type approximation are explicitly given.
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| 关 键 词： | Padé-type approximation |
ORTHOGONAL POLYNOMIALS AND DETERMINANT FORMULAS OF FUNCTION-VALUED PAD(E)-TYPE APPROXIMATION USING FOR SOLUTION OF INTEGRAL EQUATIONS |
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| GU Chuan-qing,PAN Bao-zhen,WU Bei-bei.ORTHOGONAL POLYNOMIALS AND DETERMINANT FORMULAS OF FUNCTION-VALUED PADE-TYPE APPROXIMATION USING FOR SOLUTION OF INTEGRAL EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2006,27(6). |
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| Authors: | GU Chuan-qing PAN Bao-zhen WU Bei-bei |
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| Abstract: | To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Pade-type approximation is denned. 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 Pade-type approximation are explicitly given. |
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| Keywords: | generalized linear functional function-valued Fredholm integral equation orthogonal polynomial determinant formula |
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