الفهرس 
صفحة العنوانOnly 14 pages are availabe for public view
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Abstract
Abstract
Many fields and some phenomena in engineering and the physical sciences require
describing their behaviors by finding their governing equations (ordinary or integral)
equations. Some of these fields include fluid dynamics (ocean motion), heat transfer,
and modelling the thermal behavior of a spherical cloud of gas acting under the
mutual attraction of its molecules. The solutions to those equations represent
describing the behavior of a phenomenon or model this requires finding
computational methods. The Adomian Decomposition Method is considered one of
the most efficient semi-analytical methods. The aim of the thesis is to present a new
modification of Adomian decomposition method which used Accelerated
polynomials (El-Kalla polynomials) in solving non-linear integro-differential
equations. We introduce a new modification of Laplace Adomian Decomposition
Method based on El-Kalla polynomials. Some numerical examples are be presented
to show the accuracy of our proposed method in solving this type.