Comparison New Algorithm Modified Euler in Ordinary Differential Equation Using Scilab Programming

Abstract

Construction ofalgorithmisa significant aspect in solving a problembefore being transferred totheprogramming language. Algorithm helped a user to do their job systematic and can be reduced working time. The real problem must be modeled into mathematical equation(s) before construct the algorithm. Then, the algorithm be transferred into programming code using computer software. In this paper, a numerical method as a platform problem solving tool and researcher used Scilab 5.4.0 Programming to solve the mathematical model such as Ordinary Differential Equations (ODE). There are various methodsthatcanbe usedin problem solvingODE. This research used to modify Euler's method because the method was simple and low computational. The main purposes of this research are to show the new algorithm for implementing the modify Euler's method and made comparisons between another modify Euler's and an exact value by integration solution. The comparison will be solved the ODE's using built-infunctions available in Scilab programming. Index Terms-Algorithm, modified euler, numerical method, Scilab.