الفهرس 
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Abstract
Integro differential equations (I.D.E) have widely used. Which may be exist in electrical, physical and biological problems. It was necessary to study such problems and search for simple and accurate method for solving such equations. Adomian is a good method that used in solving differential, integral, Algebraic and integrodifferential equations. In this thesis we use Adomian?s method in techiniques such as transforming the single I.D.E into a system of integral equations, Reliable algorithm the main aim of this modification is to simplify the first component which used in calculating other components. We introduce a new numerical scheme that may be used to solve I.D.E. to avoid the difficulties of integrals.