University of Khartoum

Stability of Numerical Methods for Retarded Functional Differential Equations.

Stability of Numerical Methods for Retarded Functional Differential Equations.

Show full item record

Title: Stability of Numerical Methods for Retarded Functional Differential Equations.
Author: Osman El Nubi, Ahmed
Abstract: This thesis deals with two problems in the stability of numerical methods for retarded functional differential equations. The first problem is that of absolute stability and the second is A-stability. The investigation of the two problems in the field of ordinary differential equations has been going on for the last two decades. In the first Chapter we review the existence and uniqueness of the solution and the question of interpolation of the retarded functional d1fferentisl equation. We then proceed to throw some light on the recent results of the to types of stabilities in the field of initial value problems of ordinary and delay differential equations whose delay is a constant. Chapters 2 ends 3 are devoted to the theory of F-stability and its development. Numerical result s is supplemented in Chapters 3. In the last Chapter we deal with the problem of A-stability and to how for the known results for initial value problems of ordinary and delay differential equations can be extended to retarded functional differential equations.
URI: http://khartoumspace.uofk.edu/handle/123456789/13850
Date: 2015-06-22


Files in this item

Files Size Format View

This item appears in the following Collection(s)

Show full item record

Share

Search DSpace


Browse

My Account