The Ritz-Galerkin method for MHD Couette flow of non-Newtonian fluid

Authors

  • R. Ellahi Department of Mathematics & Statistics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad, Pakistan
  • S. Abbasbandy Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149, Iran
  • Z. Barikbin Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149, Iran
Abstract:

In this paper, the Ritz-Galerkin method in Bernstein polynomial basis is applied for solving the nonlinear problem of the magnetohydrodynamic (MHD) flow of third grade fluid between the two plates. The properties of the Bernstein  polynomials together with the Ritz-Galerkin method are used to reduce the solution of the MHD Couette flow of non-Newtonian fluid in a porous medium to the solution of algebraic equations.

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Journal title

volume 6  issue 3

pages  235- 243

publication date 2014-05-01

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