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Three-Step Two-Hybrid Block Method for the Direct Solution of Second-Order Ordinary Differential Equations

Author

Listed:
  • Raymond Dominic*

    (Department of Mathematics and Statistics, Federal University Wukari, Nigeria)

  • Kyagya Yusuf T.

    (Department of Mathematics and Statistics, Federal University Wukari, Nigeria)

Abstract

In this paper a three-step two hybrid block method with two offgrid hybrid points chosen within interval [Xn,Xn+1]Â Â and [Xn+1,Xn+2] was developed to solve second Order Ordinary Differential Equations directly, using the power series as the basic function to approximate and generate some continuous schemes. The basic properties of the method was investigated and was found to converge. Numerical Solution of our method was tested on some stiff equations and was found to give better approximation than the existing method.

Suggested Citation

  • Raymond Dominic* & Kyagya Yusuf T., 2020. "Three-Step Two-Hybrid Block Method for the Direct Solution of Second-Order Ordinary Differential Equations," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 6(3), pages 15-23, 03-2020.
    • Handle: RePEc:arp:ajoams:2020:p:15-23
    DOI: 10.32861/ajams.63.15.23
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