Solutions of integral equations via modified Laguerre polynomials

The Laguerre polynomial function is modified with an additional parameter and is applied to solve integral equations. First, the convolution of two modified Laguerre polynomials is developed. The dependent variables in the integral equation are assumed to be expressed by a modified Laguerre polynomi...

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Published in:International journal of systems science Vol. 15; no. 6; pp. 661 - 672
Main Authors: WANG, MAW-LING, CHEN, KEWI-SHANG, CHOU, CHIH-KAO
Format: Journal Article
Language:English
Published: London Taylor & Francis Group 01.01.1984
Taylor & Francis
Subjects:
Exact sciences and technology
Integral equations, integral transforms
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Series expansion
Integral equation
Laguerre polynomial
ISSN:0020-7721, 1464-5319
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Abstract The Laguerre polynomial function is modified with an additional parameter and is applied to solve integral equations. First, the convolution of two modified Laguerre polynomials is developed. The dependent variables in the integral equation are assumed to be expressed by a modified Laguerre polynomial series. A set of algebraic equations is obtained from the integral equation. A recursive computational algorithm is employed to calculate the expansion coefficients. Examples are given, the results obtained from the modified Laguerre polynomials being much better than from the conventional Laguerre polynomials.
AbstractList The Laguerre polynomial function is modified with an additional parameter and is applied to solve integral equations. First, the convolution of two modified Laguerre polynomials is developed. The dependent variables in the integral equation are assumed to be expressed by a modified Laguerre polynomial series. A set of algebraic equations is obtained from the integral equation. A recursive computational algorithm is employed to calculate the expansion coefficients. Examples are given, the results obtained from the modified Laguerre polynomials being much better than from the conventional Laguerre polynomials.
Author WANG, MAW-LING
CHOU, CHIH-KAO
CHEN, KEWI-SHANG
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Cites_doi 10.1080/00207727508941868
10.1080/00207728208926416
10.1115/1.3139626
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10.1109/TAC.1979.1102155
10.1016/0045-7906(79)90034-X
10.1016/0016-0032(78)90037-6
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Keywords Series expansion
Integral equation
Laguerre polynomial
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CIT0005
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BRISTRIZ Y. (CIT0001) 1979; 24
CHEN C. F. (CIT0003) 1975; 6
CIT0004
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Snippet The Laguerre polynomial function is modified with an additional parameter and is applied to solve integral equations. First, the convolution of two modified...
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SubjectTerms Exact sciences and technology
Integral equations, integral transforms
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Title Solutions of integral equations via modified Laguerre polynomials
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