DEVELOPMENT OF NEW HARMONIC EULER USING NONSTANDARD FINITE DIFFERENCE TECHNIQUE FOR SOLVING STIFF PROBLEMS

Authors

  • Nurhafizah Moziyana Mohd Yusop aFaculty of Defence Science and Technology, National Defence University of Malaysia
  • Mohammad Khatim Hasan Faculty of Information Science & Technology, Universiti Kebangsaan Malaysia

DOI:

https://doi.org/10.11113/jt.v77.6546

Keywords:

Harmonic Euler, nonstandard, stiff

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.

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Published

2015-12-01

How to Cite

Mohd Yusop, N. M., & Hasan, M. K. (2015). DEVELOPMENT OF NEW HARMONIC EULER USING NONSTANDARD FINITE DIFFERENCE TECHNIQUE FOR SOLVING STIFF PROBLEMS. Jurnal Teknologi, 77(20). https://doi.org/10.11113/jt.v77.6546