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

Article scientifique 2020 Anglais

Résumé

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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Abdulganiy, R., Akinfenwa, O., Yusuff, O., Enobabor, O., Okunuga, S. (2020). Block Third Derivative Trigonometrically-Fitted Methods for Stiff and Periodic Problems. https://doi.org/10.46481/jnsps.2020.33

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Auteur(s)

R. I. Abdulganiy O. A. Akinfenwa Olaoluwa Yusuff O. E. Enobabor S. A. Okunuga

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