Quasi-linearization method with rational Legendre collocation method for solving MHD flow over a stretching sheet with variable thickness and slip velocity which embedded in a porous medium

Authors

M. M. Khader, Al Imam Mohammad Ibn Saud Islamic University (IMSIU)

Abstract

The quasi-linearization method (QLM) and the rational Legendre functions are introduced here to present the numerical solution for the Newtonian fluid flow past an impermeable stretching sheet which embedded in a porous medium with a power-law surface velocity, variable thickness and slip velocity. Firstly, due to the high nonlinearity which yielded from the ordinary differential equation which describes the proposed physical problem, we construct a sequence of linear ODEs by using the QLM, hence the resulted equations become a system of linear algebraic equations. The comparison with the available results in the literature review proves that the obtained results via QLM are accurate, and the method is reliable.

Recommended Citation

Khader, M. M. (2018). Quasi-linearization method with rational Legendre collocation method for solving MHD flow over a stretching sheet with variable thickness and slip velocity which embedded in a porous medium, Applications and Applied Mathematics: An International Journal (AAM), Vol. 13, Iss. 2, Article 20.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss2/20