An efficient block solver of trigonometrically fitted method for stiff ODEs has been developed. This block solver utilizes a special trigonometrically fitted method as the basis function approximation with the introduction of varying step, varying order and suitably varying step size. The idea of interpolation and collocation is utilized out via trigonometrically fitted method. Some theoretical properties of block solver are also investigated. To demonstrate the efficiency and accuracy of the method, we solve some examples of stiff ODEs.

block solver, trigonometrically fitted method, stiff ODEs, tolerance level, suited varying step size.

Received: November 17, 2021; Revised: December 15, 2021; Accepted: March 25, 2022; Published: June 9, 2022

How to cite this article: Oghonyon Jimevwo Godwin, Okunuga Solomon Adewale and Ogunniyi Peter Oluwatomi, An efficient block solver of trigonometrically fitted method for stiff ODEs, Advances in Differential Equations and Control Processes 28 (2022), 73-98. http://dx.doi.org/10.17654/0974324322025

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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