Solution of linear two-point boundary-value problems via polynomial series

DOI10.1080/00207728908910136zbMath0674.34015OpenAlexW2059186558WikidataQ126248048 ScholiaQ126248048MaRDI QIDQ3828306

Abdollah Arabshahi, Mohsen Razzaghi

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00207728908910136

zbMATH Keywords

Taylor seriesexamplestwo-point boundary-value problemdigital computationTaylor polynomialspolynomial series

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Uniqueness of best approximation (41A52) Linear boundary value problems for ordinary differential equations (34B05) Classical operational calculus (44A45)

Related Items (3)

Optimal control of linear distributed-parameter systems via polynomial series ⋮ A discrete Taylor series method for the solution of two-point boundary-value problems ⋮ Solution of linear two-point boundary value problems with time-varying coefficients via Taylor series

Cites Work

• Solution of the matrix Riccati equation in optimal control
• Laguerre series direct method for variational problems
• The computation and theory of optimal control
• Application of Chebyshev polynomials to the optimal control of time-varying linear systems
• The Fourier series operational matrix of integration
• Analysis of stiff systems via method of shifted Legendre functions
• Laguerre series approach to the analysis of a linear control system incorporating observers
• Solution of two-point-boundary-value problems by generalized orthogonal polynomials and application to optimal control of lumped and distributed parameter systems
• Application of Legendre series to the optimal control of integrodifferential equations
• Solution of linear two-point boundary-value problems via shifted Chebyshev series
• Fourier series direct method for variational problems
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Walsh series expansion of composite functions and its application to linear systems
• A state-space approach to Walsh series solution of linear systems

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