Block Third Derivative Trigonometrically-Fitted Methods for Stiff and Periodic Problems

Authors

  • Ridwanulahi Abdulganiy
    University of Lagos image/svg+xml
  • Olusheye Akinfenwa
    Department of Mathematics, University of Lagos, Nigeria
  • Olaoluwa Yusuff
    Department of Mathematics, University of Lagos, Nigeria
  • Osaretin Enobabor
    Department of Mathematics, Yaba College of Technology, Lagos, Nigeria
  • Solomon Okunuga
    Department of Mathematics, University of Lagos, Nigeria

Keywords:

Convergence, Frequency, Stiff, Trigonometrically-Fitted

Abstract

This article constructed and implemented a family of a third derivative trigonometric fitted method of order k+3 whose coefficients are functions of frequency and step size for the integration of systems of first-order stiff and periodic Initial Value Problems. The Block Third Derivative Trigonometric Fitted methods (BTDTFMs) are constructed via multistep collocation technique and applied in block form as simultaneous numerical integrators which make them self-starting. The convergence, accuracy, and efficiency of the methods are established through some standard numerical examples.

Dimensions

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Published

2020-02-28

How to Cite

Block Third Derivative Trigonometrically-Fitted Methods for Stiff and Periodic Problems. (2020). Journal of the Nigerian Society of Physical Sciences, 2(1), 12-25. https://doi.org/10.46481/jnsps.2020.33

Issue

Volume 2, Issue 1, February 2020

Section

Original Research
Copyright & Licensing

How to Cite

Block Third Derivative Trigonometrically-Fitted Methods for Stiff and Periodic Problems. (2020). Journal of the Nigerian Society of Physical Sciences, 2(1), 12-25. https://doi.org/10.46481/jnsps.2020.33

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