Abstract:
In this thesis, a class of discrete Linear Multistep Methods for Direct Solution
of third order initial value problems of Ordinary differential Equations is developed
using Taylor series expansion technique.
The method is motivated by the variety of application areas of third order
Ordinary Differential equations, which include Engineering, Science, Management
and Technology. The analysis of the basic properties or the methods were carried out
using Boundary Locus method. The result shows that the methods are Consistent,
Zero-Stable, and Convergent.
The methods are programmed in Fortran Programming Language and used to
solve some sample third order initial value problems in Ordinary differential
equations to demonstrate the practical feasibility and accuracy of the methods.
