Derivative block methods for the solution for fourth-order boundary value problems of ordinary differential equations

Authors

  • Bola Titilayo Olabode Department of Mathematical Sciences, Federal University of Technology Akure, P.M.B. 704, Akure, Nigeria
  • Adelegan Lukuman Momoh Department of Mathematical Sciences, Federal University of Technology Akure, P.M.B. 704, Akure, Nigeria
  • Emmanuel Olorunfemi Senewo Department of Mathematics and Statistics, Confluence University of Science and Technology Osara, P.M.B. 1040, Okene, Nigeria

Keywords:

Derivative block methods, Stability analysis, Fourth-order differential equations, Interpolation and collocation

Abstract

The application of block methods in the study of dynamical system is one area which needs more research. Therefore, this work presents block methods and its application to solve some problems in solid and fluid mechanics. The method was developed directly using the approaches of collocation and interpolation, and using power series polynomial as a trial solution. First, the system of linear equations is solved to obtain the unknown coefficients. The coefficients gotten are then substituted into the approximate solution to obtain continuous scheme. The continuous scheme, its first, second and third derivatives are evaluated at all the grid points to generate the block methods. The derived methods were applied to solve fourth-order boundary value problems of ordinary differential equations arising from beams and chemical problems. The results demonstrate the reliability and efficiency of the proposed method.

Dimensions

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Published

2024-04-12

How to Cite

Derivative block methods for the solution for fourth-order boundary value problems of ordinary differential equations. (2024). Proceedings of the Nigerian Society of Physical Sciences, 1(1), 80. https://doi.org/10.61298/pnspsc.2024.1.80

Issue

Volume 1, NSPS-KWASU Conference, Feb. 1- 4, 2024

Section

Articles
Copyright & Licensing

Copyright (c) 2024 Bola Titilayo Olabode, Adelegan Lukuman Momoh, Emmanuel Olorunfemi Senewo (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Derivative block methods for the solution for fourth-order boundary value problems of ordinary differential equations. (2024). Proceedings of the Nigerian Society of Physical Sciences, 1(1), 80. https://doi.org/10.61298/pnspsc.2024.1.80