Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Exponentially–Fitted Fourth–Derivative Single–Step Obrechkoff Method for Oscillatory/Periodic Problems

Version 1 : Received: 26 June 2022 / Approved: 28 June 2022 / Online: 28 June 2022 (12:50:23 CEST)

A peer-reviewed article of this Preprint also exists.

Wusu, A.S.; Olabanjo, O.A.; Mazzara, M. Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff Method for Oscillatory/Periodic Problems. Mathematics 2022, 10, 2392. Wusu, A.S.; Olabanjo, O.A.; Mazzara, M. Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff Method for Oscillatory/Periodic Problems. Mathematics 2022, 10, 2392.

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. A single–step Obrechkoff method involving terms up to the fourth derivatives was used as the base method. We also present the stability and convergence properties of the constructed family of methods. Two numerical examples were use to illustrate the performance of the constructed methods.

Keywords

Exponentially–fitted; Obrechkoff; Fourth–derivative; Oscillatory; Periodic; Single–step

Subject

Computer Science and Mathematics, Computational Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.