Integration of Dynamic Equation of Spring-Mass-Damper Systems via Chebyshev Polynomials

DOI10.1080/00207160212107zbMath1112.65317OpenAlexW2017521389MaRDI QIDQ4551544

Mohamed Seif, B. Fallahi

Publication date: 28 August 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160212107

zbMATH Keywords

Chebyshev polynomialslinear differential equationsnumerical analysisspring-mass-damper systems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Applications of hypergeometric functions (33C90)

Cites Work

• Analysis of chebyshev finite element method for linear differential equations using equal interval elements
• Optimal control of mechanical systems subjected to periodic loading via chebyshev polynomials
• Stability analysis of systems with periodic coefficients: An approximate approach
• Chebyshev polynomial solutions of linear differential equations
• Analysis of chebyshev finite element method for nonlinear differential equations

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