A Chebyshev polynomial based block integrator for the direct numerical solution of fourth order ordinary differential equations

A Chebyshev polynomial based block integrator for the direct numerical solution of fourth order ordinary differential equations

This paper introduces an innovative method for numerically integrating fourth-order initial value problems by utilizing Chebyshev polynomials as the fundamental basis function. The block integrator base on Chebyshev polynomial demonstrates significant improvements in accuracy and stability, renderi...

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Bibliographic Details
Main Authors: Oladotun Ogunlaran, Michael Kehinde, Moses Akanbi, Emmanuel Akinola
Format: Article
Language:English
Published: Nigerian Society of Physical Sciences 2024-03-01
Series:Journal of Nigerian Society of Physical Sciences
Subjects:
Chebyshev Polynomial
Continuous scheme
block method
initial value problems
Online Access:https://www.journal.nsps.org.ng/index.php/jnsps/article/view/1917

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