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The heat and mass transfer due to the steady laminar and incompressible micropolar fluid flow through a rectangular duct with the slip flow and convective boundary conditions are numerically calculated. The fluid moves under an external magnetic field applied on a plane perpendicular to the axis of the duct. The governing nonlinear partial differential equations of momentum, microrotation, induction, and the energy are solved simultaneously by the finite difference method. The effect of various numbers and parameters such as Reynolds, magnetic Reynolds, Hartmann, coupling, Brinkman numbers, the slip flow and convective parameters are presented in graphs. Some comparisons with previous works are included.

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The problem of solving the Schrödinger equation by a method related to the restrictive Padé approximation is considered. It yields more accurate results. The complex tridiagonal system which arises from the finite difference discretization of the considered equation is solved by Evans-Roomi [1] method. The restrictive Padé approach is applied successfully for the one and two dimensional Schrödinger equations. It is shown by numerical examples that it is more efficient and gives faster results compared with classical finite difference methods.

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