A Robust and Effective Method for Solving Two-Point BVP in Modelling Viscoelastic Flows - Applied Mathematics

AM > Vol.11 No.1, January 2020

Applied Mathematics

Volume 11, Issue 1 (January 2020)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

A Robust and Effective Method for Solving Two-Point BVP in Modelling Viscoelastic Flows ()

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DOI: 10.4236/am.2020.111003 581 Downloads 1,336 Views Citations

Author(s)

Mohamed El-Gamel, Ola Mohamed, Neveen El-Shamy

Affiliation(s)

Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

ABSTRACT

Chebyshev collocation method is used to approximate solutions of two-point BVP arising in modelling viscoelastic flow. The scheme is tested on four nonlinear problems. The comparison with other methods is made. The results demonstrate the reliability and efficiency of the algorithm developed.

KEYWORDS

Chebyshev, Collocation, Viscoelastic Flow, Fifth-Order, Nonlinear

Share and Cite:

El-Gamel, M. , Mohamed, O. and El-Shamy, N. (2020) A Robust and Effective Method for Solving Two-Point BVP in Modelling Viscoelastic Flows. Applied Mathematics, 11, 23-34. doi: 10.4236/am.2020.111003.

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