Application of Taylor matrix method to the solution of longitudinal vibration of rods
type: Item
instance of: scholarly article
title: Application of Taylor matrix method to the solution of longitudinal vibration of rods
zbMATH Open document ID: 1201.35077
author: Mehmet Çevik
published in: Mathematical \& Computational Applications
publication date: 2010-08-27T00:00:00Z
review text: Summary: The present study introduces a novel and simple matrix method for the solution of longitudinal vibration of rods in terms of Taylor polynomials. The proposed method converts the governing partial differential equation of the system into a matrix equation, which corresponds to a system of linear algebraic equations with unknown Taylor coefficients. Then the solution is obtained easily by solving these matrix equations. Both free and forced vibrations of the system are studied; particular and general solutions are determined. The method is demonstrated by an illustrative example using symbolic computation. Comparison of the numerical solution obtained in this study with the exact solution is quite good.
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35L10
Mathematics Subject Classification ID: 35A25
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 5775409
zbMATH Keywords: Taylor polynomials
zbMATH Keywords: free and forced vibrations
MaRDI profile type: Publication
full work available at URL: mca15030334
OpenAlex ID: W2186641238
DOI: 10.3390/MCA15030334
description: scientific article; zbMATH DE number 5775409