Research Paper : A New Block Integrator for the Solution of Initial Value Problems of First-Order Ordinary Differential Equations

M.R. Odekunle ; A.O. Adesanya ; J. Sunday;

We develop a continuous linear multistep method using interpolation and collocation of the approximate solution for the solution of first order ordinary differential equation with a constant step-size. The approximate solution is combination of power series and exponential function. The independent solution was then derived by adopting block integrator. The properties of the method was investigated and found to be zerostable,
consistent and convergent. The integrator was tested on numerical examples and found to perform better than the existing methods.