On Newton and Lagrange Interpolation Method for first order ordinary differential equations

Abstract

In the recent past, there has been a tremendous growth of the solution of differential equations using algorithmic methods. This work  deploys Newton’s interpolation polynomial method (NIPM) and Lagrange interpolation polynomial method (LIPM) to create cubic  polynomials for solving initial value problems of the first order. The results obtained show greater accuracy for the investigated method  when compared with some known methods in literature. Illustrative examples are presented to demonstrate the validity and applicability  of the technique.