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Applications And Development Of A New Volterra Scheme For Solving Nonlinear Integral Equations

Author

Listed:
  • Ayinde A.M.

    (Department of Physical Sciences, Al-Hikmah University Ilorin, Kwara, Nigeria)

  • Ishaq A.A.

    (Department of Mathematics, University of Abuja, Abuja, Nigeria)

  • Jimoh F.M

    (Department of Physical Sciences, Al-Hikmah University Ilorin, Kwara, Nigeria)

  • Bello A.K.

    (Department of Mathematics, University of Ilorin, Ilorin, Nigeria)

Abstract

Volterra integral equations (VIEs) are extensively utilized across scientific, technological and engineeringdisciplines for modeling systems influenced by past behaviors or interactions. This study focuses on solvingnonlinear VIEs using a combination of power series and trigonometrically fitted functions. The analysis of thebasic properties of the Volterra scheme were numerically analyzed. The Volterra scheme is efficient, accurateand particularly effective for nonlinear problems. Numerical applications demonstrate the scheme’s accuracyin solving second-kind nonlinear Volterra integral equations, validating its robustness and computationaladvantages.

Suggested Citation

  • Ayinde A.M. & Ishaq A.A. & Jimoh F.M & Bello A.K., 2025. "Applications And Development Of A New Volterra Scheme For Solving Nonlinear Integral Equations," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 9(1), pages 06-16, February.
    • Handle: RePEc:zib:zbmsmk:v:9:y:2025:i:1:p:06-16
    DOI: 10.26480/msmk.01.2025.06.16
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    References listed on IDEAS

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    1. Abdul-Majid Wazwaz, 2011. "Linear and Nonlinear Integral Equations," Springer Books, Springer, number 978-3-642-21449-3, October.
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