Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm
In this paper, we used the modified Adomian decomposition(MADM) method to solve integral equations of the Volterra and Fredholm type as well, and then the Adomian method was combined with the bee algorithm(ABC) and obtained values for the parameter that improved the results obtained by solving some...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mosul University
2023-12-01
|
| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_181627_65b80d0666f3ab1d3dd2a4caf69be762.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849768512645496832 |
|---|---|
| author | Noor Basam Ahmed Entesar |
| author_facet | Noor Basam Ahmed Entesar |
| author_sort | Noor Basam |
| collection | DOAJ |
| description | In this paper, we used the modified Adomian decomposition(MADM) method to solve integral equations of the Volterra and Fredholm type as well, and then the Adomian method was combined with the bee algorithm(ABC) and obtained values for the parameter that improved the results obtained by solving some examples and were more accurate than the default method, These results are illustrated by calculating the maximum absolute errors (MAE) and mean squared errors (MSE).
|
| format | Article |
| id | doaj-art-1206ac349db640d39f4c3bf75c332330 |
| institution | DOAJ |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-1206ac349db640d39f4c3bf75c3323302025-08-20T03:03:46ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902023-12-01172111810.33899/csmj.2023.181627181627Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee AlgorithmNoor Basam0Ahmed Entesarقسم الریاضیات/کلیة علوم الحاسوب والریاضیاتIn this paper, we used the modified Adomian decomposition(MADM) method to solve integral equations of the Volterra and Fredholm type as well, and then the Adomian method was combined with the bee algorithm(ABC) and obtained values for the parameter that improved the results obtained by solving some examples and were more accurate than the default method, These results are illustrated by calculating the maximum absolute errors (MAE) and mean squared errors (MSE). https://csmj.mosuljournals.com/article_181627_65b80d0666f3ab1d3dd2a4caf69be762.pdfvoltera and fredholm integral equationsadomian decomposition methodbee colony algorithm |
| spellingShingle | Noor Basam Ahmed Entesar Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm Al-Rafidain Journal of Computer Sciences and Mathematics voltera and fredholm integral equations adomian decomposition method bee colony algorithm |
| title | Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm |
| title_full | Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm |
| title_fullStr | Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm |
| title_full_unstemmed | Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm |
| title_short | Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm |
| title_sort | solving integral equations via a hybrid method between the modified adomian decomposition method and bee algorithm |
| topic | voltera and fredholm integral equations adomian decomposition method bee colony algorithm |
| url | https://csmj.mosuljournals.com/article_181627_65b80d0666f3ab1d3dd2a4caf69be762.pdf |
| work_keys_str_mv | AT noorbasam solvingintegralequationsviaahybridmethodbetweenthemodifiedadomiandecompositionmethodandbeealgorithm AT ahmedentesar solvingintegralequationsviaahybridmethodbetweenthemodifiedadomiandecompositionmethodandbeealgorithm |