Computational Method for the Determination of Forced Motions in Mass-spring Systems

Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 3, Issue 1

Abstract

In this paper, we propose a computational method for the determination of forced motions in mass-spring systems. The method of interpolation and collocation of Hermite polynomial (as basis function) was adopted to generate continuous computational hybrid linear multistep methods which were evaluated at grid points to form a discrete computational block method. The method was applied on two real life problems to determine the motions of weights in mass-spring systems. We also went further to analyze some properties of the method like zero-stability, consistence and convergence. From the results we obtained, it showed that the proposed method is computationally reliable.

Authors and Affiliations

Y. Skwame, A. I. Bakari, J. Sunday

Keywords

Related Articles

The Method of Multiple Time Scales and Finite Differences Method for the van der Pol Oscillator with Small Fractional Damping

In this paper, we consider the van der Pol oscillator with small fractional damping. To construct the approximate and numerical solutions of the equation, the method of multiple time scales and finite differences method...

Thermo-diffusion and Diffusion-thermo Effects on MHD Micropolar Fluid Flow Over a Linearly Stretching Sheet, Through a Non-Darcy Porous Medium

In this paper, the thermo-diffusion and Diffusion-thermo effects on MHD micropolar fluid flow over a linearly stretching sheet, through a non -Darcy porous medium, where stretching velocity of the sheet varies linear...

The Impact of Students “Socio-economic Condition on Academic Performance in Public and National University of Bangladesh”

This study is about the impact of students’ socio-economic condition on academic performance in public and national universities. The objectives of the study are to evaluate the factors that influenced the student academ...

Weak Moment of a Class of Stochastic Heat Equation with Martingale-valued Harmonic Function

A study of a non-linear parabolic SPDEs of the form with as the space-time white noise and a space-time harmonic function was done. The function is Lipschitz continuous and the -generator of a Lévy process. So...

Numerical Solution of Volterra-Fredholm Integral Equations Using Hybrid Orthonormal Bernstein and Block-Pulse Functions

We have proposed an efficient numerical method to solve a class of mixed Volterra-Fredholm integral equations (VFIE’s) of the second kind, numerically based on Hybrid Orthonormal Bernstein and Block-Pulse Functions (OBH)...

Download PDF file
  • EP ID EP338326
  • DOI 10.9734/ARJOM/2017/31821
  • Views 145
  • Downloads 0

How To Cite

Y. Skwame, A. I. Bakari, J. Sunday (2017). Computational Method for the Determination of Forced Motions in Mass-spring Systems. Asian Research Journal of Mathematics, 3(1), 1-12. https://europub.co.uk/articles/-A-338326