Abstract:
This report is to propose an important approximation technique for the computation of the
numerical solution of ordinary differential equation of initial value problem (!VP). The methods
we have proposed are Euler and Modified Euler method. The methods are iterative in nature and
admit their geometric deviation from an exponentially fitted osculating straight line. They are
single step methods and do not require evaluation of any derivatives. The accuracy of the
proposed methods is considered and their applicability to some problems is also discussed.
