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

Author

Listed:
  • Ashiribo Senapon Wusu

    (Department of Mathematics, Lagos State University, Lagos 102101, Nigeria
    Africa Center of Excellence for Innovative and Transformative STEM Education (ACEITSE), Lagos State University, Lagos 102101, Nigeria
    These authors contributed equally to this work.)

  • Olusola Aanu Olabanjo

    (Africa Center of Excellence for Innovative and Transformative STEM Education (ACEITSE), Lagos State University, Lagos 102101, Nigeria
    Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA
    These authors contributed equally to this work.)

  • Manuel Mazzara

    (Institute of Software Development and Engineering, Innopolis University, Innopolis 420500, Russia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Ashiribo Senapon Wusu & Olusola Aanu Olabanjo & Manuel Mazzara, 2022. "Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff Method for Oscillatory/Periodic Problems," Mathematics, MDPI, vol. 10(14), pages 1-9, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2392-:d:858096
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    Cited by:

    1. Ashiribo Senapon Wusu & Olusola Aanu Olabanjo & Manuel Mazzara, 2022. "Two-Parameter Exponentially Fitted Taylor Method for Oscillatory/Periodic Problems," Mathematics, MDPI, vol. 10(24), pages 1-7, December.

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