# Comparison New Algorithm Modified Euler Based on Harmonic-Polygon Approach for Solving Ordinary Differential Equation

## Authors

• Nurhafizah Moziyana Mohd Yusop Faculty of Defence Science and Technology, National Defence University of Malaysia, Kuala Lumpur
• Mohammad Khatim Hasan Faculty of Information Science and Technology,Universiti Kebangsaan Malaysia, Bangi, Malaysia
• Muslihah Wook Faculty of Defence Science and Technology, National Defence University of Malaysia, Kuala Lumpur
• Mohd Fahmi Mohamad Amran Faculty of Defence Science and Technology, National Defence University of Malaysia, Kuala Lumpur
• Siti Rohaidah Ahmad Faculty of Defence Science and Technology, National Defence University of Malaysia, Kuala Lumpur

## Keywords:

Euler, Harmonic-Polygon Scheme, Polygon, Harmonic Mean,

## Abstract

There are many benefits to improve Euler scheme for solving the Ordinary Differential Equation problems. Among the benefits are simple implementation and low-cost computation. However, the problem of accuracy in the Euler scheme persuades scholar to use the complex method. Therefore, the main purpose of this research is to show the development of a new modified Euler scheme that improves the accuracy of the Polygon scheme in various step sizes. The implementation of the new scheme is by using the Polygon scheme and then Harmonic mean concept that is called the Harmonic-Polygon scheme. This Harmonic-Polygon scheme can provide new advantages more than the Euler scheme could offer by solving Ordinary Differential Equation problem. Four set of problems are solved via Harmonic-Polygon. Findings showed that new scheme or Harmonic-Polygon scheme can produced much better accuracy result.

2017-09-15

## How to Cite

Mohd Yusop, N. M., Hasan, M. K., Wook, M., Mohamad Amran, M. F., & Ahmad, S. R. (2017). Comparison New Algorithm Modified Euler Based on Harmonic-Polygon Approach for Solving Ordinary Differential Equation. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 9(2-11), 29–32. Retrieved from https://jtec.utem.edu.my/jtec/article/view/2733

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