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Nooraida Samsudin
TATI University College

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Cube Arithmetic: Improving Euler Method for Ordinary Differential Equation using Cube Mean Nooraida Samsudin; Nurhafizah Moziyana Mohd Yusop; Syahrul Fahmy; Anis Shahida Niza binti Mokhtar
Indonesian Journal of Electrical Engineering and Computer Science Vol 11, No 3: September 2018
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v11.i3.pp1109-1113

Abstract

The Euler method is a first-order numerical procedure for solving Ordinary Differential Equation (ODEs) problems. It is an effective and easy method to solve initial value problems. Although Euler provides simple procedure for solving ODEs, there have been issues such as complexity, time of processing and accuracy that compelled the use of other, more complex, methods. Improvements to the Euler method have attracted much attention resulting in numerous modified Euler methods. This paper proposes Cube Arithmetic, a modified Euler method with improved accuracy. The efficiency of Cube Arithmetic was compared with Euler Arithmetic and tested using SCILAB against exact solutions. Results indicate that not only Cube Arithmetic provided solutions that are similar to exact solutions at small step size, but also at higher step size, hence producing more accurate results.
Centroidal-polygon: a new modified Euler to improve speed of resistor-inductor circuit equation Nur Shahirah Zulkifli; Nooraida Samsudin; Suzanna Ridzuan Aw; Wan Farah Hanan Wan Osman; Shahreen Kasim; Tole Sutikno
Indonesian Journal of Electrical Engineering and Computer Science Vol 24, No 3: December 2021
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v24.i3.pp1399-1404

Abstract

Two types of first-order circuits are resistor-capacitor (RC) and resistorinductor (RL). This paper focuses on the RL circuit equation. The centroidalpolygon (CP) scheme will be tested using SCILAB 6.0 software. This new scheme (CP scheme) is addressed to improve the speed. For the first order circuit equation, the complexity is focused on the time complexity, which is speed of the time taken to complete the simulation in the electrical part. The CP scheme is compared with the previous studies, polygon (P) and harmonic-polygon (HP). The result shows that the CP scheme is less computational and an alternative to solve the first order circuit equation, and get the result quickly compared with the previous research.
Co-Authors Anis Shahida Niza binti Mokhtar Nur Shahirah Zulkifli Nurhafizah Moziyana Mohd Yusop Shahreen Kasim Suzanna Ridzuan Aw Syahrul Fahmy Tole Sutikno Wan Farah Hanan Wan Osman