Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency
Euler method is a numerical order process for solving problems with the Ordinary Differential Equation (ODE). It is a fast and easy way. While Euler offers a simple procedure for solving ODEs, problems such as complexity, processing time and accuracy have driven others to use more sophisticated meth...
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| Format: | Article |
| Language: | English English |
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UPNM Press
2020
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| Online Access: | https://eprints.ums.edu.my/id/eprint/29307/1/Cube%20polygon.pdf https://eprints.ums.edu.my/id/eprint/29307/2/Cube%20polygon1.pdf |
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| author | Nurhafizah Moziyana Mohd Yusop Nooraida Samsudin Anis Shahida Mokhtar Siti Rohaidah Ahmad Aslina Baharum Mohd Fahmi Mohammad Amran |
| author_facet | Nurhafizah Moziyana Mohd Yusop Nooraida Samsudin Anis Shahida Mokhtar Siti Rohaidah Ahmad Aslina Baharum Mohd Fahmi Mohammad Amran |
| author_sort | Nurhafizah Moziyana Mohd Yusop |
| collection | UMS |
| description | Euler method is a numerical order process for solving problems with the Ordinary Differential Equation (ODE). It is a fast and easy way. While Euler offers a simple procedure for solving ODEs, problems such as complexity, processing time and accuracy have driven others to use more sophisticated methods. Improvements to the Euler method have attracted much attention resulting in numerous modified Euler methods. This paper proposes Cube Polygon, a modified Euler method with improved accuracy and complexity. In order to demonstrate the accuracy and easy implementation of the proposed method, several examples are presented. Cube Polygon’s performance was compared to Polygon’s scheme and evaluated against exact solutions using SCILAB. Results indicate that not only Cube Polygon has produced solutions that are close to identical solutions for small step sizes, but also for higher step sizes, thus generating more accurate results and decrease complexity. Also known in this paper is the general of the RL circuit due to the ODE problem. |
| first_indexed | 2024-03-06T03:08:51Z |
| format | Article |
| id | ums.eprints-29307 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:08:51Z |
| publishDate | 2020 |
| publisher | UPNM Press |
| record_format | dspace |
| spelling | ums.eprints-293072021-09-24T01:12:18Z https://eprints.ums.edu.my/id/eprint/29307/ Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency Nurhafizah Moziyana Mohd Yusop Nooraida Samsudin Anis Shahida Mokhtar Siti Rohaidah Ahmad Aslina Baharum Mohd Fahmi Mohammad Amran QA75.5-76.95 Electronic computers. Computer science Euler method is a numerical order process for solving problems with the Ordinary Differential Equation (ODE). It is a fast and easy way. While Euler offers a simple procedure for solving ODEs, problems such as complexity, processing time and accuracy have driven others to use more sophisticated methods. Improvements to the Euler method have attracted much attention resulting in numerous modified Euler methods. This paper proposes Cube Polygon, a modified Euler method with improved accuracy and complexity. In order to demonstrate the accuracy and easy implementation of the proposed method, several examples are presented. Cube Polygon’s performance was compared to Polygon’s scheme and evaluated against exact solutions using SCILAB. Results indicate that not only Cube Polygon has produced solutions that are close to identical solutions for small step sizes, but also for higher step sizes, thus generating more accurate results and decrease complexity. Also known in this paper is the general of the RL circuit due to the ODE problem. UPNM Press 2020 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/29307/1/Cube%20polygon.pdf text en https://eprints.ums.edu.my/id/eprint/29307/2/Cube%20polygon1.pdf Nurhafizah Moziyana Mohd Yusop and Nooraida Samsudin and Anis Shahida Mokhtar and Siti Rohaidah Ahmad and Aslina Baharum and Mohd Fahmi Mohammad Amran (2020) Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency. ZULFAQAR Journal of Defence Science, Engineering & Technology, 3. pp. 8-14. ISSN 2289-6805 https://zulfaqar.upnm.edu.my/ijdset/index.php/blog-issues/70-vol-3-issue-1-2020 |
| spellingShingle | QA75.5-76.95 Electronic computers. Computer science Nurhafizah Moziyana Mohd Yusop Nooraida Samsudin Anis Shahida Mokhtar Siti Rohaidah Ahmad Aslina Baharum Mohd Fahmi Mohammad Amran Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency |
| title | Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency |
| title_full | Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency |
| title_fullStr | Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency |
| title_full_unstemmed | Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency |
| title_short | Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency |
| title_sort | cube polygon a new modified euler method to improve electric circuit efficiency |
| topic | QA75.5-76.95 Electronic computers. Computer science |
| url | https://eprints.ums.edu.my/id/eprint/29307/1/Cube%20polygon.pdf https://eprints.ums.edu.my/id/eprint/29307/2/Cube%20polygon1.pdf |
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