الفهرس 
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Abstract
the importance of delay differentialequations (DDes ) and volterra delay integro-differential equations ( vdides) in modelling mathematical engineering biologi cal and physical problems has motivated the search for efficient numerical methods to solve them this thesis present a new technique for numerical treatments of
DDEs and VDIDEs the technique is based on continuous mono-implocit runge-kutta (CMIRK) method which has the accuracy of implicit methods and the advantages of explicit methods for low computational cost.