Approximate MHD flow over a nonlinear stretching sheet by modified generalized Laguerre pseudo-spectral method

The problem of the boundary layer flow of an incompressible viscous fluid is introduced. The boundary conditions corresponding to the non-linear stretching of the sheet is applied.Laguerre-Gauss-Radau points, modified generalized Laguerre functions method and generalized Laguerre-Gauss-type interpolation are defined.With substitutions variable in partial differential equations of the boundary layer flow of an incompresible viscous fluid over a non-linear stretching sheet, the ordinary differential system related to that can be solved, is maked.For approximation the problem of MHD flow over a non-linear stretching sheet, the modified generalized Laguerre pseudo-spectral method is applied.The obtained results are finally compared through the illustrative graphs with the exact solution and the discussion of variations of

Keywords:

Magnetohydrodynamic , modified generalized laguerre functions , pseudo-spectral method , boundary layer equation , Laguerre-Gauss-Radau points