(AL-Neelain University, 2014) Montser Osman Ibrahim Abd Alseed
ln 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.
