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

Author

Listed:
  • Ashiribo Senapon Wusu

    (Department of Mathematics, Lagos State University, Lagos 102101, Nigeria
    These authors contributed equally to this work.)

  • Olusola Aanu Olabanjo

    (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, 420500 Innopolis, Russia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4768-:d:1004281
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    References listed on IDEAS

    as
    1. 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.
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