Now showing 1 - 4 of 4
  • Publication
    Introduction To Ordinary Differential Equation
    This book is intended for students who want to learn about calculus and differential equations in great depth. The core contents of the book discuss about the ‘ First Order and Second Order Differential Equation’. These two (2) chapters provide the students with a lot of examples together with solution methods. Meanwhile, ‘Laplace Transform’ topic introduces the students to an optional method other than the First Order or the Second Order Differential Equation, ‘Fourier Series’ topic discusses about the periodic function of Fourier Series where the techniques from the earlier chapters such as graphs, differentiation and integration will be adapted in this book. Basically, this book provides the basic knowledge of engineering mathematics in order to increase the comprehension of the students in term of differentiation, integration and periodic functions of series. By providing a lot of examples and exercise questions, the author hope this book may increase the understanding level and help the students to solve the questions and at the same time help them to use the theories and concepts which have been learnt to apply in their daily routine problems.
      1  22
  • Publication
    Application of hybrid cubic B-Spline collocation approach for solving a generalized nonlinear Klien-Gordon equation
    ( 2014) ;
    Ahmad Abd Majid
    ;
    Ahmad Izani Md. Ismail
    ;
    Muhammad Abbas
    The generalized nonlinear Klien-Gordon equation is important in quantum mechanics and related fields. In this paper, a semi-implicit approach based on hybrid cubic B-spline is presented for the approximate solution of the nonlinear Klien-Gordon equation. The usual finite difference approach is used to discretize the time derivative while hybrid cubic B-spline is applied as an interpolating function in the space dimension. The results of applications to several test problems indicate good agreement with known solutions.
      3  16
  • Publication
    Numerical analysis of 25-year-old male and female voices via mechanical model of vocal cord using cubic B-spline collocation method
    (AIP Publishing, 2024) ;
    Syatirah Mat Zin
    Vocal cords play an important role in human speech production. The development of mechanical models of vocal cords has increased the understanding of their role and functionality. Numerous numerical studies have been explored to investigate the properties of vocal cord. In this work, one-mass mechanical model of vocal cord has been identified to be solved numerically using B-spline collocation method. Parameters of the model have been extracted from 25 years old male and female voices. Displacement of vocal cord at time, t, have been generated explore for each voice. The number of phases and highest displacement have also been discovered in the finding. Duration of first phase of each voice has also been explored.
  • Publication
    Numerical analysis of one-mass mechanical model of vocal cord using normal and pathological voices through cubic B-spline collocation method
    (AIP Publishing, 2024-09-13) ;
    Syatirah Mat Zin
    Vocal cords play a crucial role in human speech production. The development of mechanical models of vocal cords has increased the understanding of their role and functionality. Numerous numerical studies have been explored to investigate the properties of vocal cord. In this work, one-mass mechanical model of vocal cord has been identified to be solved numerically using B-spline collocation method. Parameters of the model have been extracted from real voices data classified as normal and pathological voices. New results, displacement of vocal cord at time, t, have been generated for each voice. The findings indicated that each voice produced a different value of displacement due to the damping and subglottal pressure of each voice. The number of phases and highest peaks displacement have also been discovered in the finding.