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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
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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