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

Abstract

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.

A new Euler scheme based on harmonic-polygon approach for solving first order ordinary differential equation

“…SCILAB is open source work similar to numerical operation in the Matlab software. The main different thing of this two software is SCILAB can be considered as free software otherwise no need to pay for licenses [6] [7]. Mathematical software and algorithm development is closely linked to the problem represented by a mathematical model.…”

Cube Arithmetic: Improving Euler Method for Ordinary Differential Equation using Cube Mean

“…The new algorithm proposed in this paper name it as Cube Arithmetic. This idea to develop this new algorithm is by enhance other algorithm proposed by Qureshi [7] and Nurhafizah [8]. Qureshi Thus, this paper proposes a modified Euler method using the Cube mean concept.…”

Computational Treatment for The Solution of A Set of Coupled Differential Equations for Any Physical System Using Scilab and Generating Scilab Codes

“…Many differential equations of Ist order with for loop had been solved using initial conditions and shrinked in a single program with the help of Scilab [5]. The comparison between Euler's method and modified Euler's method had been for solving the ordinary differential equations [6]. Xcos is very important tools of Scilab generally it is used modelling or simulation to perform or execute the program; the problem of electron trajectory using Scilab Xcos was solved [7].…”