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

DOI10.1016/0016-0032(89)90048-3zbMath0702.34022OpenAlexW2074560304MaRDI QIDQ914921

Mohsen Razzaghi, Mehdi Razzaghi

Publication date: 1989

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(89)90048-3

zbMATH Keywords

Taylor seriestwo point boundary-value problems

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (1)

Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Chebyshev approximations

Cites Work

• New approach to the optimal control of delay systems via Chebyshev series
• Laguerre functions in signal analysis and parameter identification
• On optimal control problems with discontinuities
• Laguerre series approach to the analysis of a linear control system incorporating observers
• Shifted-Chebyshev-series analysis and identification of time-varying bilinear systems
• The shifted Legend re approach to non-linear system analysis and identification
• Application of Legendre series to the optimal control of integrodifferential equations
• Solution of linear two-point boundary-value problems via shifted Chebyshev series
• Walsh series expansion of composite functions and its application to linear systems
• Identification of non-linear distributed systems via block-pulse functions
• Optimal feedback control via block-pulse functions

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