Polynomial solution of the single degree of freedom system by Taylor matrix method

DOI10.1016/j.mechrescom.2008.05.001zbMath1258.70033OpenAlexW1985357389MaRDI QIDQ1939825

Mehmet Çevik, Nurcan Kurt

Publication date: 5 March 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechrescom.2008.05.001

zbMATH Keywords

vibrationspring-mass-damper systemTaylor polynomial matrix method

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Forced motions in linear vibration theory (70J35)

Related Items (7)

Solution of the delayed single degree of freedom system equation by exponential matrix method ⋮ Collocation approaches to the mathematical model of an Euler-Bernoulli beam vibrations ⋮ Optimized Gauss-Legendre-Hermite 2-point (O-GLH-2P) method for nonlinear time-history analysis of structures ⋮ Taylor polynomial solution of hyperbolic type partial differential equations with constant coefficients ⋮ Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation ⋮ Laguerre approach for solving system of linear Fredholm integro-differential equations ⋮ Solution of high-order linear Fredholm integro-differential equations with piecewise intervals

Uses Software

• Matlab

Cites Work

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• A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
• Approximate solution of linear ordinary differential equations with variable coefficients
• Taylor polynomial solutions of general linear differential-difference equations with variable coefficients
• On the solution of the Riccati equation by the Taylor matrix method
• A Taylor polynomial approach for solving differential-difference equations
• A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials
• A Taylor expansion approach for solving integral equations
• Polynomial solution of the most general linear Fredholm integrodifferential–difference equations by means of Taylor matrix method
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
• Orthogonal polynomial solutions of linear ordinary differential equations

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