Solution of first order differential equation using numerical newton’s interpolation and lagrange method
International Journal of Development Research
Solution of first order differential equation using numerical newton’s interpolation and lagrange method
Received 15th November, 2017; Received in revised form 28th December, 2017; Accepted 23rd January, 2018; Published online 28th February, 2018
Copyright © 2018, Faith Chelimo Kosgei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Differential equation is one of the major areas in mathematics with series of method and solutions. We have analytic method and numerical methods; analytic method is only applicable to a class of equations, so most of the times numerical methods are used. Most of the researches on numerical approach to the solution of first order ordinary differential equation tend to adopt methods such as Runge Kutta method, Taylor series method and Euler’s method; but none of the study has actually combined the newt on’s interpolation and Lagrange method to solve first order differential equation. This study will combine of Newton’s interpolation and Lagrange method to solve the problems of first order differential equation.
