Abstract:
In this thesis we solve systems of nonlinear ordinary differential equations by
applying the spectral relaxation method (SRM).The SRM is an efficient numerical
method that gives accurate results. First we give a historical idea and details of
the SRM method. Then we present a study of a boundary layer flow with a
convective surface boundary condition. The system of equations governing the
thermo-hydrodynamic boundary layer flow is solved using the spectral relaxation
method. The effects of the governing fluid parameters on the velocity,
temperature and concentration profiles are also studied .Dufour and Soret effects
on incompressible Newtonian fluid flow over a vertical down-pointing cone, are
investigated studied numerically by using the spectral relaxation method. Results
presented in this study are compared with those of previously published
literature for selected values of the governing physical parameters. We also
analysed the residual error and we investigate the accuracy of the method, and
then we compare the result against solutions obtained from published literature.
