Two-Parameter Exponentially Fitted Taylor Method for Oscillatory/Periodic Problems

Ashiribo Senapon Wusu, Olusola Aanu Olabanjo () and Manuel Mazzara
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Ashiribo Senapon Wusu: Department of Mathematics, Lagos State University, Lagos 102101, Nigeria
Olusola Aanu Olabanjo: Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA
Manuel Mazzara: Institute of Software Development and Engineering, Innopolis University, 420500 Innopolis, Russia

Mathematics, 2022, vol. 10, issue 24, 1-7

Abstract: This work presents the construction and implementation of a two-parameter exponentially fitted Taylor method suitable for solving ordinary differential equations that possess oscillatory or periodic behaviour. The methodology is based on a six-step algorithm discussed in the literature. We present the associated truncation error of the method and demonstrate its accuracy using two test cases. The method gave better results compared with its counterparts discussed in the literature.

Keywords: Taylor; exponentially-fitted; two-parameter; periodic; oscillatory; frequency (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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