Development of new harmonic euler using nonstandard finite difference technique for solving stiff problems

Nurhafizah Moziyana Mohd Yusop, Mohammad Khatim Hasan

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Solving stiff problem always required very tiny size of meshes if it is solved via traditional numerical algorithm. Using insufficient of mesh size, will triggered instabilities. In this paper, we develop an algorithm applying Harmonic Mean on Euler method to solve the stiff problems. The main purpose of this paper is to discuss the improvement of Harmonic Euler using Nonstandard Finite Difference (NSFD). The combination of these methods can provide new advantages that Euler method could offer. Four set of stiff problems are solved via three schemes, i.e. Harmonic Euler, Nonstandard Harmonic Euler and Nonstandard EO with Harmonic Euler. Findings show that both nonstandard schemes produce high accuracy results.

Original languageEnglish
Pages (from-to)19-24
Number of pages6
JournalJurnal Teknologi
Volume77
Issue number20
DOIs
Publication statusPublished - 1 Sep 2015

Keywords

  • Harmonic Euler
  • Nonstandard
  • Stiff

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Development of new harmonic euler using nonstandard finite difference technique for solving stiff problems. / Yusop, Nurhafizah Moziyana Mohd; Hasan, Mohammad Khatim.

In: Jurnal Teknologi, Vol. 77, No. 20, 01.09.2015, p. 19-24.

Research output: Contribution to journalArticle

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