Extended midpoint method for solving fuzzy differential equations
We study fuzzy differential equations (FDEs) using the strongly generalized differentiability concept. Utilizing the characterization problem, we present approximate solutions of FDEs under Generalized differentiability by an equivalent system of ODEs. Then we extend midpoint approximation method an...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2012
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/69366/ http://psasir.upm.edu.my/id/eprint/69366/1/Extended%20midpoint%20method%20for%20solving%20fuzzy%20differential%20equations.pdf |
| _version_ | 1848856387030876160 |
|---|---|
| author | Afsharinafar, Reza Ismail, Fudziah Hosseini, Seyedali Ahmadian |
| author_facet | Afsharinafar, Reza Ismail, Fudziah Hosseini, Seyedali Ahmadian |
| author_sort | Afsharinafar, Reza |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study fuzzy differential equations (FDEs) using the strongly generalized differentiability concept. Utilizing the characterization problem, we present approximate solutions of FDEs under Generalized differentiability by an equivalent system of ODEs. Then we extend midpoint approximation method and give its error, which guarantees pointwise convergence. An illustrative example is given. |
| first_indexed | 2025-11-15T11:40:50Z |
| format | Conference or Workshop Item |
| id | upm-69366 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:40:50Z |
| publishDate | 2012 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-693662019-07-04T04:08:29Z http://psasir.upm.edu.my/id/eprint/69366/ Extended midpoint method for solving fuzzy differential equations Afsharinafar, Reza Ismail, Fudziah Hosseini, Seyedali Ahmadian We study fuzzy differential equations (FDEs) using the strongly generalized differentiability concept. Utilizing the characterization problem, we present approximate solutions of FDEs under Generalized differentiability by an equivalent system of ODEs. Then we extend midpoint approximation method and give its error, which guarantees pointwise convergence. An illustrative example is given. IEEE 2012 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/69366/1/Extended%20midpoint%20method%20for%20solving%20fuzzy%20differential%20equations.pdf Afsharinafar, Reza and Ismail, Fudziah and Hosseini, Seyedali Ahmadian (2012) Extended midpoint method for solving fuzzy differential equations. In: 2012 IEEE Symposium on Humanities, Science and Engineering Research (SHUSER 2012), 24-27 June 2012, Renaissance Hotel, Kuala Lumpur. (pp. 1579-1584). 10.1109/SHUSER.2012.6268842 |
| spellingShingle | Afsharinafar, Reza Ismail, Fudziah Hosseini, Seyedali Ahmadian Extended midpoint method for solving fuzzy differential equations |
| title | Extended midpoint method for solving fuzzy differential equations |
| title_full | Extended midpoint method for solving fuzzy differential equations |
| title_fullStr | Extended midpoint method for solving fuzzy differential equations |
| title_full_unstemmed | Extended midpoint method for solving fuzzy differential equations |
| title_short | Extended midpoint method for solving fuzzy differential equations |
| title_sort | extended midpoint method for solving fuzzy differential equations |
| url | http://psasir.upm.edu.my/id/eprint/69366/ http://psasir.upm.edu.my/id/eprint/69366/ http://psasir.upm.edu.my/id/eprint/69366/1/Extended%20midpoint%20method%20for%20solving%20fuzzy%20differential%20equations.pdf |