A New Approach on Solving One-Mass Model of Vocal Cord using Hybrid Cubic B-Spline Collocation Method

Authors

  • Nur Fatin Amirah Mohd Rodzi Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP), 02600 Arau, Perlis, Malaysia
  • Shazalina Mat Zin Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP), 02600 Arau, Perlis, Malaysia
  • Syatirah Mat Zin Department of Dental Science, Advanced Medical and Dental Institute, Universiti Sains Malaysia, 13200 Kepala Batas, Pulau Pinang, Malaysia
  • Muhammad Abbas Department of Mathematics, University of Sargodha, PAF Road, 40100 Sargodha, Pakistan

DOI:

https://doi.org/10.37934/araset.59.2.2029

Keywords:

Hybrid cubic B-spline, Vocal cord displacement, One-mass model

Abstract

The vocal cords, also known as vocal folds, are responsible for producing sound and creating the voice. In this work, hybrid cubic B-spline collocation method (HCBs) and ode45 built-in solver in MATLAB were applied to solve one-mass model of vocal cord numerically. From the model, displacements were generated by analysing the voice recording samples of 109 healthy participants. Based on the recordings, the frequency of each sample was accumulated and utilized in displacements calculation. In order to verify the value of displacements, absolute error and maximum error were calculated. The numerical results were indicated that HCBs generate closer displacement with ode45. The error was shown that HCBs could be reliable method and produce accurate displacement of one-mass model of vocal cord.

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Author Biographies

Nur Fatin Amirah Mohd Rodzi, Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP), 02600 Arau, Perlis, Malaysia

fatinamirah@studentmail.unimap.edu.my

Shazalina Mat Zin, Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP), 02600 Arau, Perlis, Malaysia

shazalina@unimap.edu.my

Syatirah Mat Zin, Department of Dental Science, Advanced Medical and Dental Institute, Universiti Sains Malaysia, 13200 Kepala Batas, Pulau Pinang, Malaysia

syatirah.matzin@usm.my

Muhammad Abbas, Department of Mathematics, University of Sargodha, PAF Road, 40100 Sargodha, Pakistan

muhammad.abbas@uos.edu.pk

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Published

2024-10-07

Issue

Section

Articles