Abstract:
The development of linear multistep methods for initial value
problems of ordinary differential equations (ODEs) has been the
subject of investigation for some time. In this work, a class of hybrid
backward differentiation methods with step numbers k = 1,2, 3 and 4
for initial value problems of first order ordinary differential equations
were presented.
The schemes have been tested and found to be consistent and
zero stable. Numerical examples are given to demonstrate the
efficiency of the new methods over the existing methods.
