Numerical Approximation Method for Solving Differential Equations
This paper investigates numerical methods for solving differential equation. In this work, the continuous least square method (CLSM) was considered to find the best numerical approximation by solving differential equations. The continuous least square method (CLSM) was developed together with the L_...
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| Format: | Article |
| Language: | English |
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Tishk International University
2020-12-01
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| Series: | Eurasian Journal of Science and Engineering |
| Subjects: | |
| Online Access: | https://eajse.tiu.edu.iq/index.php/volume-6-issue-2-article-13/ |
| _version_ | 1797763225146621952 |
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| author | Salisu Ibrahim |
| author_facet | Salisu Ibrahim |
| author_sort | Salisu Ibrahim |
| collection | DOAJ |
| description | This paper investigates numerical methods for solving differential equation. In this work, the continuous least square method (CLSM) was considered to find the best numerical approximation by solving differential equations. The continuous least square method (CLSM) was developed together with the L_2 norm. Numerical results obtained yield minimum approximation error, provide the best approximation. Explicit results obtained are supported by examples treated with MATLAB and Wolfram Mathematica 11. |
| first_indexed | 2024-03-12T19:39:32Z |
| format | Article |
| id | doaj.art-92ff3107745246f4b96f3b69501692cd |
| institution | Directory Open Access Journal |
| issn | 2414-5629 2414-5602 |
| language | English |
| last_indexed | 2024-03-12T19:39:32Z |
| publishDate | 2020-12-01 |
| publisher | Tishk International University |
| record_format | Article |
| series | Eurasian Journal of Science and Engineering |
| spelling | doaj.art-92ff3107745246f4b96f3b69501692cd2023-08-02T03:57:55ZengTishk International UniversityEurasian Journal of Science and Engineering2414-56292414-56022020-12-016215716810.23918/eajse.v6i2p157Numerical Approximation Method for Solving Differential EquationsSalisu Ibrahim0Department of Mathematics Education, Faculty of Education, Tishk International University, Erbil, IraqThis paper investigates numerical methods for solving differential equation. In this work, the continuous least square method (CLSM) was considered to find the best numerical approximation by solving differential equations. The continuous least square method (CLSM) was developed together with the L_2 norm. Numerical results obtained yield minimum approximation error, provide the best approximation. Explicit results obtained are supported by examples treated with MATLAB and Wolfram Mathematica 11.https://eajse.tiu.edu.iq/index.php/volume-6-issue-2-article-13/the least square method (lsm)ordinary differential equationsl_2 norm |
| spellingShingle | Salisu Ibrahim Numerical Approximation Method for Solving Differential Equations Eurasian Journal of Science and Engineering the least square method (lsm) ordinary differential equations l_2 norm |
| title | Numerical Approximation Method for Solving Differential Equations |
| title_full | Numerical Approximation Method for Solving Differential Equations |
| title_fullStr | Numerical Approximation Method for Solving Differential Equations |
| title_full_unstemmed | Numerical Approximation Method for Solving Differential Equations |
| title_short | Numerical Approximation Method for Solving Differential Equations |
| title_sort | numerical approximation method for solving differential equations |
| topic | the least square method (lsm) ordinary differential equations l_2 norm |
| url | https://eajse.tiu.edu.iq/index.php/volume-6-issue-2-article-13/ |
| work_keys_str_mv | AT salisuibrahim numericalapproximationmethodforsolvingdifferentialequations |