In this thesis, first off all, interpolation using Radial Basis Functions (RBF) are explaned. Several types of radial basis functions are tested in an example. The Dual
Reciprocity Boundary Element Method (DRBEM) using RBF interpolation is given for Poisson's equations of the forms ?2u=b(x,y,u) and ?2u=b(x,y,ux). Then the
DRBEM is applied to Magnetohydrodynamic (MHD) Channel Flow problem with homogeneous boundary conditions which can be put in these two types of
Poisson's equations. Boundary Element Method is used with constant and linear elements. Computations are carried out for several values of Hartmann number, for
different types of radial basis functions which are used in the interpolation of right hand side functions. The two forms of right hand side function are compared and
we conclude that the derivative form ?2u=b(x,y,ux) with constant boundary elements gives very well agreement with the exact solution. The velocity and the induced
magnetic field values which are obtained show the well known characteristics of MHD Flow.

Keywords : Interpolation, Radial basis functions, MHD flow, Dual reciprocity boundary element method.