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Research Article

An Implicit Second-Order Block Method for Simulation Betiss and Stiefel Oscillatory Differential Equation

Authors

  • Aloko Macdonald Damilola Department of Planning and Police Analysis, National Agency for Science and Engineering, Abuja, Nigeria
  • Ayinde Muhammed Abdullahi Department of Mathematics, University of Abuja, Abuja, Nigeria https://orcid.org/0000-0002-2563-0952

    ayinde.abdullahi@uniabuja.edu.ng

  • Usman A. Danbaba Department of Planning and Police Analysis, National Agency for Science and Engineering, Abuja, Nigeria
  • Abdurahman Hassan Department of General Studies, Federal School of Surveying, Oyo, Nigeria
  • Babatunde Badrudeen Lamidi Department of General Studies, Federal School of Surveying, Oyo, Nigeria

Abstract

This research shows the development and simulation of an implicit second-order block method for solving Betiss and Stiefel differential equations. The method's fundamental properties including order, consistency, and stability were rigorously analyzed, confirming its theoretical robustness under standard numerical analysis principles. Through comparative testing on oscillatory differential equations, the proposed method demonstrated enhanced accuracy and computational efficiency over existing approaches. The results reveal its superior performance in terms of error reduction and stability, making it a viable improvement for long-term simulations of stiff and oscillatory systems.

Keywords:

Betiss And Stiefel Numerical Analyst Oscillatory Differential Equation Simulation

Article information

Journal

Scientific Journal of Engineering, and Technology

Volume (Issue)

2(2), (2025)

Pages

38-44

Published

02-08-2025

How to Cite

Damilola, A. M., Abdullahi, A. M., Danbaba, U. A., Hassan, A., & Lamidi, B. B. (2025). An Implicit Second-Order Block Method for Simulation Betiss and Stiefel Oscillatory Differential Equation. Scientific Journal of Engineering, and Technology, 2(2), 38-44. https://doi.org/10.69739/sjet.v2i2.543

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