Solution of integral equations via generalized orthogonal polynomials

DOI10.1080/00207728708963988zbMath0624.65134OpenAlexW1977948423MaRDI QIDQ3026281

Shwuyien Yang, Mawling Wang, Rongyeu Chang

Publication date: 1987

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728708963988

zbMATH Keywords

numerical exampleorthogonal polynomialsconvolution quadraturelinear Volterra integral equations of convolution type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Cites Work

• Solving integral equations via Walsh functions
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Solution of integral equations using a set of block pulse functions
• Analysis and optimal control of time-varying systems via Chebyshev polynomials
• Solutions of integral equations via shifted Legendre polynomials
• Analysis and optimal control of time-varying systems via generalized orthogonal polynomials
• Solutions of linear dynamic systems by generalized orthogonal polynomials
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Parameter identification via Laguerre polynomials
• Explicit solutions of integral equations via block pulse functions
• Analysis and optimal control of time-varying linear systems via Walsh functions

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