Montser Osman Ibrahim Abd Alseed2022-10-112022-10-112014http://hdl.handle.net/123456789/17587ln these work we introduce a new modification of the Adomian decomposition method for solving nonlinear ordinary differential equations. The technique is based on the blending of the Chebyshev pseudo-spectral methods and the Adomian decomposition method. The method is tested by solving several nonlinear diflerential equations. The accuracy and rate of convergence of the solution has been tested and compared for difierent orders with a.n exa-ct solution and results are presented in tables and g"raphica.l.ly.enAdomian decomposition methodLinear and non-linear ordinary differential equationThesis