Exploring the performance of ChatGPT for numerical solution of ordinary differential equations
This study aims to evaluate ChatGPT’s capabilities in certain numerical analysis problem: solving ordinary differential equations. The methodology which is developed in order to conduct this research takes into account the following mathematical abilities (defined according to National Centre for Ed...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
OmniaScience
2025-01-01
|
| Series: | Journal of Technology and Science Education |
| Subjects: | |
| Online Access: | https://www.jotse.org/index.php/jotse/article/view/2709 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823860928868777984 |
|---|---|
| author | Saso Koceski Natasa Koceska Limonka Koceva Lazarova Marija Miteva Biljana Zlatanovska |
| author_facet | Saso Koceski Natasa Koceska Limonka Koceva Lazarova Marija Miteva Biljana Zlatanovska |
| author_sort | Saso Koceski |
| collection | DOAJ |
| description | This study aims to evaluate ChatGPT’s capabilities in certain numerical analysis problem: solving ordinary differential equations. The methodology which is developed in order to conduct this research takes into account the following mathematical abilities (defined according to National Centre for Education Statistics): Conceptual Understanding, Procedural Knowledge, Problem Solving, and Application in Real-world Contexts. The outcomes demonstrate that ChatGPT’s performed very well for the set tasks, and it also gives promising results for programming code generation, with certain limitations. The effectiveness and accuracy of the answers and solutions obtained by ChatGPT are related to the type of equation, i.e., how complex it is, and also with the instructions we give to ChatGPT. It also requires further improvement of the machine learning model and the ability to provide an explanation of how the output was obtained. |
| format | Article |
| id | doaj-art-f1f816637b194327a3f2b577a25ae1d7 |
| institution | Kabale University |
| issn | 2013-6374 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | OmniaScience |
| record_format | Article |
| series | Journal of Technology and Science Education |
| spelling | doaj-art-f1f816637b194327a3f2b577a25ae1d72025-02-10T09:17:16ZengOmniaScienceJournal of Technology and Science Education2013-63742025-01-01151183410.3926/jotse.2709456Exploring the performance of ChatGPT for numerical solution of ordinary differential equationsSaso Koceski0Natasa Koceska1Limonka Koceva Lazarova2Marija Miteva3Biljana Zlatanovska4Goce Delcev University, StipGoce Delcev University, StipGoce Delcev University, StipGoce Delcev University, StipGoce Delcev University, StipThis study aims to evaluate ChatGPT’s capabilities in certain numerical analysis problem: solving ordinary differential equations. The methodology which is developed in order to conduct this research takes into account the following mathematical abilities (defined according to National Centre for Education Statistics): Conceptual Understanding, Procedural Knowledge, Problem Solving, and Application in Real-world Contexts. The outcomes demonstrate that ChatGPT’s performed very well for the set tasks, and it also gives promising results for programming code generation, with certain limitations. The effectiveness and accuracy of the answers and solutions obtained by ChatGPT are related to the type of equation, i.e., how complex it is, and also with the instructions we give to ChatGPT. It also requires further improvement of the machine learning model and the ability to provide an explanation of how the output was obtained.https://www.jotse.org/index.php/jotse/article/view/2709artificial intelligence (ai), differential equations, numerical solution, chatgpt |
| spellingShingle | Saso Koceski Natasa Koceska Limonka Koceva Lazarova Marija Miteva Biljana Zlatanovska Exploring the performance of ChatGPT for numerical solution of ordinary differential equations Journal of Technology and Science Education artificial intelligence (ai), differential equations, numerical solution, chatgpt |
| title | Exploring the performance of ChatGPT for numerical solution of ordinary differential equations |
| title_full | Exploring the performance of ChatGPT for numerical solution of ordinary differential equations |
| title_fullStr | Exploring the performance of ChatGPT for numerical solution of ordinary differential equations |
| title_full_unstemmed | Exploring the performance of ChatGPT for numerical solution of ordinary differential equations |
| title_short | Exploring the performance of ChatGPT for numerical solution of ordinary differential equations |
| title_sort | exploring the performance of chatgpt for numerical solution of ordinary differential equations |
| topic | artificial intelligence (ai), differential equations, numerical solution, chatgpt |
| url | https://www.jotse.org/index.php/jotse/article/view/2709 |
| work_keys_str_mv | AT sasokoceski exploringtheperformanceofchatgptfornumericalsolutionofordinarydifferentialequations AT natasakoceska exploringtheperformanceofchatgptfornumericalsolutionofordinarydifferentialequations AT limonkakocevalazarova exploringtheperformanceofchatgptfornumericalsolutionofordinarydifferentialequations AT marijamiteva exploringtheperformanceofchatgptfornumericalsolutionofordinarydifferentialequations AT biljanazlatanovska exploringtheperformanceofchatgptfornumericalsolutionofordinarydifferentialequations |