Salma Hassan Mohammed Hassan2017-08-012017-08-012015http://hdl.handle.net/123456789/4504Abstract In this study, we proposed numerical method for solving non-linear differential equations. The method is hybired of spectral and Adomian decomposition method. The method will applied on the problem of convection heat and mass transfer, the convergence of the method tested and displayed on tables. The velocity, temperature and concentration have been obtained and discussed for various physical parameter.الرياضياتMathematicsالتحليل الرياضيdifferential equations.