Cube Polygon: A New Modified Euler Method to Improve Accuracy of Ordinary Differential Equation (ODE)

Abstract

Ordinary Differential Equation (ODEs) problems can solve using Euler method. Euler method suitable for first-order numerical and it is an effective and easy method. The objective of this paper is to suggest a new scheme for better accuracy. The accuracy is determined by comparing with exact solution using average concept. This paper proposes Cube Polygon as modified Euler method to improved accuracy and complexity. A set of simulation were carried out to demonstrate the accuracy of the proposed method. Testing has been done into SCILAB 6.0 by recording the maximum error. Results indicate that Cube Polygon provide more accurate results and reducing complexity for both smaller and higher step size.