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

Nurhafizah Moziyana Mohd Yusop, Mohammad Khatim Hasan, Muslihah Wook, Mohd Fahmi Mohamad Amran, Siti Rohaidah Ahmad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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 computational. However, the problem of accuracy in Euler scheme persuade scholar to use complex method. Therefore, the main purpose of this research are show the construction a new modified Euler scheme that improve accuracy of Polygon scheme in various step size. The implementing of new scheme are used Polygon scheme and Harmonic mean concept that called as Harmonic-Polygon scheme. This Harmonic-Polygon can provide new advantages that Euler scheme could offer by solving Ordinary Differential Equation problem. Four set of problems are solved via Harmonic-Polygon. Findings show that new scheme or Harmonic-Polygon scheme can produce much better accuracy result.

Original languageEnglish
Title of host publication2nd International Conference on Applied Science and Technology 2017, ICAST 2017
PublisherAmerican Institute of Physics Inc.
Volume1891
ISBN (Electronic)9780735415737
DOIs
Publication statusPublished - 3 Oct 2017
Event2nd International Conference on Applied Science and Technology 2017, ICAST 2017 - Langkawi, Kedah, Malaysia
Duration: 3 Apr 20175 Apr 2017

Other

Other2nd International Conference on Applied Science and Technology 2017, ICAST 2017
CountryMalaysia
CityLangkawi, Kedah
Period3/4/175/4/17

Fingerprint

polygons
differential equations
harmonics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Yusop, N. M. M., Hasan, M. K., Wook, M., Amran, M. F. M., & Ahmad, S. R. (2017). A new Euler scheme based on harmonic-polygon approach for solving first order ordinary differential equation. In 2nd International Conference on Applied Science and Technology 2017, ICAST 2017 (Vol. 1891). [020102] American Institute of Physics Inc.. https://doi.org/10.1063/1.5005435

A new Euler scheme based on harmonic-polygon approach for solving first order ordinary differential equation. / Yusop, Nurhafizah Moziyana Mohd; Hasan, Mohammad Khatim; Wook, Muslihah; Amran, Mohd Fahmi Mohamad; Ahmad, Siti Rohaidah.

2nd International Conference on Applied Science and Technology 2017, ICAST 2017. Vol. 1891 American Institute of Physics Inc., 2017. 020102.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yusop, NMM, Hasan, MK, Wook, M, Amran, MFM & Ahmad, SR 2017, A new Euler scheme based on harmonic-polygon approach for solving first order ordinary differential equation. in 2nd International Conference on Applied Science and Technology 2017, ICAST 2017. vol. 1891, 020102, American Institute of Physics Inc., 2nd International Conference on Applied Science and Technology 2017, ICAST 2017, Langkawi, Kedah, Malaysia, 3/4/17. https://doi.org/10.1063/1.5005435
Yusop NMM, Hasan MK, Wook M, Amran MFM, Ahmad SR. A new Euler scheme based on harmonic-polygon approach for solving first order ordinary differential equation. In 2nd International Conference on Applied Science and Technology 2017, ICAST 2017. Vol. 1891. American Institute of Physics Inc. 2017. 020102 https://doi.org/10.1063/1.5005435
Yusop, Nurhafizah Moziyana Mohd ; Hasan, Mohammad Khatim ; Wook, Muslihah ; Amran, Mohd Fahmi Mohamad ; Ahmad, Siti Rohaidah. / A new Euler scheme based on harmonic-polygon approach for solving first order ordinary differential equation. 2nd International Conference on Applied Science and Technology 2017, ICAST 2017. Vol. 1891 American Institute of Physics Inc., 2017.
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