Hybrid Block Methods with Constructed Orthogonal Basis for Solution of Third-Order Ordinary Differential Equations

Authors

Keywords:

Hybrid block, Collocation, Interpolation, Third-order ODE, Integration scheme

Abstract

In this work, an orthogonal polynomial with weight function w(x) =x2 + x + 1 in the interval [-1, 1] was constructed and used as the basis function to develop block methods, using collocation and interpolation approach. An efficient class of continuous and discrete numerical integration schemes of implicit hybrid form for third-order problems were developed and successfully implemented. Three different problems were solved with these schemes and they performed favourably. The investigation, using the appropriate existing theorems, shows that the methods are consistent, zero-stable and hence, convergent.

Dimensions

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Published

2022-12-22

How to Cite

Hybrid Block Methods with Constructed Orthogonal Basis for Solution of Third-Order Ordinary Differential Equations. (2022). Journal of the Nigerian Society of Physical Sciences, 5(1), 865. https://doi.org/10.46481/jnsps.2023.865

Issue

Volume 5, Issue 1, February 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 Folake Lois Joseph, Adeyemi Sunday Olagunju, Emmanuel Oluseye Adeyefa, Adewale Adeyemi James

Creative Commons License

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

How to Cite

Hybrid Block Methods with Constructed Orthogonal Basis for Solution of Third-Order Ordinary Differential Equations. (2022). Journal of the Nigerian Society of Physical Sciences, 5(1), 865. https://doi.org/10.46481/jnsps.2023.865