Numerical Solution of Fourth-order Initial Value Problems Using Novel Fourth-order Block Algorithm

Authors

  • Blessing Iziegbe Akinnukawe Department of Mathematics, University of Lagos, Lagos, Nigeria
  • John Olusola Kuboye Department of Mathematics, Federal University, Oye-Ekiti, Nigeria
  • Solomon Adewale Okunuga Department of Mathematics, University of Lagos, Lagos, Nigeria

DOI:

https://doi.org/10.3126/jnms.v6i2.63016

Keywords:

Block algorithm, Differential equations, Hybrid points, Numerical solution

Abstract

In this paper, a one-step fourth-order block scheme for solving fourth order Initial Value Problems (IVPs) of Ordinary Differential Equations (ODE) is developed using interpolation and collocation techniques. The derived schemes contain two hybrid points which are chosen such that 0 < w1 < w2 < 1 where w1 and w2 are defined as hybrid points. The characteristics of the developed schemes are analyzed. The obtained schemes are applied in block form to solve some fourth-order IVPs and the numerical results show the accuracy and effectiveness of the block scheme compared with some existing methods.

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Published

2024-02-26

How to Cite

Akinnukawe, B. I., Kuboye, J. O., & Okunuga, S. A. (2024). Numerical Solution of Fourth-order Initial Value Problems Using Novel Fourth-order Block Algorithm. Journal of Nepal Mathematical Society, 6(2), 7–18. https://doi.org/10.3126/jnms.v6i2.63016

Issue

Vol. 6 No. 2 (2024)

Section

Articles

License

© Nepal Mathematical Society