Matrix Science Mathematic (MSMK)

BERNOULLI COLLOCATION FOR SOLVING TWO-POINT BVP IN MODELLING VISCOELASTIC FLOWS

October 9, 2024 Posted by Sani In MSMK

ABSTRACT

BERNOULLI COLLOCATION FOR SOLVING TWO-POINT BVP IN MODELLING VISCOELASTIC FLOWS

Journal: Matrix Science Mathematic (MSMK)
Author: Mohamed El-Gamel, Mahmoud Abd El Hady

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2024.20.23

Bernoulli bases are developed to approximate the solutions of two-point BVP in modelling viscoelastic flows in which the shifted Chebyshev collocation points are used as collocation nodes. Properties of Bernoulli bases are then used to reduce the two-point BVP in modelling viscoelastic flows to systems of nonlinear algebraic equations. The results show the agreement between the exact solutions and the approximate solutions. Form the numerical results we see that the proposed method gives accurate results.
Pages 20-23
Year 2024
Issue 1
Volume 8

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