Author(s)

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

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

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.

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

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.