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Two-Step Optimized Technique with Two Hybrid Points for Solving Fourth-Order Initial Value Problems

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  • Nuhu Bata Malgwi
  • Donald John Zirra
  • Skwame Yusuf

Abstract

This article presents an optimized two-step, two-off-grid hybrid point for solving fourth order initial value problems. The method uses an exponential function as the basis function for a chosen two hybrid points, appropriately optimizing one of the two off-grid points by setting the principal term of the local truncation error to zero and using the local truncation error to determine the approximate values of the unknown parameter. Basic properties were examined, and the developed method was experimented to work out some fourth order initial value problems of ordinary differential equations. From the numerical results, it is clear that our new approach provides a better approximation than the existing method when compared to our result.

Suggested Citation

  • Nuhu Bata Malgwi & Donald John Zirra & Skwame Yusuf, 2025. "Two-Step Optimized Technique with Two Hybrid Points for Solving Fourth-Order Initial Value Problems," Journal of Current Research and Studies, JCR Publication, vol. 2(6), pages 18-26, November.
    • Handle: RePEc:jcr:jcr555:v:2:y:2025:i:6:id:76
    DOI: 10.64321/jcr.v2i6.03
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