Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff 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: Africa Center of Excellence for Innovative and Transformative STEM Education (ACEITSE), Lagos State University, Lagos 102101, Nigeria
Manuel Mazzara: Institute of Software Development and Engineering, Innopolis University, Innopolis 420500, Russia

Mathematics, 2022, vol. 10, issue 14, 1-9

Abstract: The quest for accurate and more efficient methods for solving periodic/oscillatory problems is gaining more attention in recent time. This paper presents the construction and implementation of a family of exponentially-fitted Obrechkoff methods using a six-step flowchart discussed in the literature. A single-step Obrechkoff method involving terms up to the fourth derivative was used as the base method. We also present the stability and convergence properties of the constructed family of methods. Two numerical examples were used to illustrate the performance of the constructed methods.

Keywords: exponentially-fitted; Obrechkoff; fourth-derivative; oscillatory; periodic; single-step (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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