Applied Mathematical Sciences, Vol. 11, 2017, no. 15, 711 - 729 HIKARI Ltd, www.m-hikari.com https://doi.org/10.12988/ams.2017.7127 Numerical Computation of Steady Buoyancy Driven MHD Heat and Mass Transfer Past An Inclined Infinite Flat Plate with Sinusoidal Surface Boundary Conditions Opiyo Richard Otieno, Alfred W. Manyonge Dept. of Pure & Applied Mathematics Maseno University, Kenya Jacob K. Bitok Dept of Mathematics & Computer Sciences University of Eldoret, Kenya Copyright c  2017 Opiyo Richard Otieno, Alfred W. Manyonge and Jacob K. Bitok. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper we study the effects of magnetohydrodynamics (MHD) fluid flow on a two dimensional boundary layer flow of a steady free convection heat and mass transfer on an inclined plate in which the angle of inclination is varied. The fluid is taken as viscous, incom- pressible, electrically conducting. The mathematical formulation yields a set of governing partial differential equations (PDEs) under a set of appropriate boundary conditions. The PDEs are transformed into ordi- nary differential equations (ODEs) by some similarity transformation. The ODEs are solved using the shooting method with the fourth or- der Runge-Kutta numerical method together with the Secant technique of root finding to determine their solutions. Graphical representation of the temperature, concentration and velocity fields and various other pertinent parameters such as Schmidt number Sc, Grashof number Gr, Eckert number Er for both mass and heat flow, and angle of inclination