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

  • Ridwanulahi Abdulganiy University of Lagos
  • 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.

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Published
2020-02-28
How to Cite
Abdulganiy, R., Akinfenwa, O., Yusuff, O., Enobabor, O., & Okunuga, S. (2020). Block Third Derivative Trigonometrically-Fitted Methods for Stiff and Periodic Problems. Journal of the Nigerian Society of Physical Sciences, 2(1), 12-25. Retrieved from https://journal.nsps.org.ng/index.php/jnsps/article/view/33
Section
Original Research