Open AccessBlock Third Derivative Trigonometrically-Fitted Methods for Stiff and Periodic Problems
Author(s) -
R. I. Abdulganiy,
O. A. Akinfenwa,
Olaoluwa Yusuff,
O. E. Enobabor,
S. A. Okunuga
Publication year - 2020
Publication title -
journal of the nigerian society of physical sciences
Language(s) - English
Resource type - Journals
ISSN - 2714-4704
DOI - 10.46481/jnsps.2020.33
Subject(s) - mathematics , trigonometry , collocation (remote sensing) , block (permutation group theory) , convergence (economics) , derivative (finance) , linear multistep method , trigonometric functions , third order , integrator , mathematical analysis , second derivative , computer science , differential equation , geometry , ordinary differential equation , differential algebraic equation , philosophy , computer network , economic growth , theology , bandwidth (computing) , machine learning , financial economics , economics
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.