Next Article in Journal
Proposing a New Model on Data Envelopment Analysis by Considering Non Discretionary Factors and a Review on Previous Models
Previous Article in Journal
Noether, Partial Noether Operators and First Integrals for the Coupled Lane-Emden System
 
 
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Application of Taylor Matrix Method to the Solution of Longitudinal Vibration of Rods

Izmir Vocational School Dokuz Eylül University, 35150 Buca, Izmir, Turkey
Math. Comput. Appl. 2010, 15(3), 334-343; https://doi.org/10.3390/mca15030334
Published: 1 December 2010

Abstract

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.
Keywords: Taylor matrix method; Longitudinal vibration; Numerical solution; Partial differential equation Taylor matrix method; Longitudinal vibration; Numerical solution; Partial differential equation

Share and Cite

MDPI and ACS Style

Çevik, M. Application of Taylor Matrix Method to the Solution of Longitudinal Vibration of Rods. Math. Comput. Appl. 2010, 15, 334-343. https://doi.org/10.3390/mca15030334

AMA Style

Çevik M. Application of Taylor Matrix Method to the Solution of Longitudinal Vibration of Rods. Mathematical and Computational Applications. 2010; 15(3):334-343. https://doi.org/10.3390/mca15030334

Chicago/Turabian Style

Çevik, Mehmet. 2010. "Application of Taylor Matrix Method to the Solution of Longitudinal Vibration of Rods" Mathematical and Computational Applications 15, no. 3: 334-343. https://doi.org/10.3390/mca15030334

Article Metrics

Back to TopTop