Solving fuzzy differential equations using implicit multistep block method
In this paper, an implicit multistep block method of order three is proposed for solving fuzzy differential equations. The method is based on diagonally implicit multistep block method where the coefficients of the lower triangular matrix entries are zero. This method works by moving two steps in a...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57399/ http://psasir.upm.edu.my/id/eprint/57399/1/Solving%20fuzzy%20differential%20equations%20using%20implicit%20multistep%20block%20method.pdf |
| _version_ | 1848853355399479296 |
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| author | Ramli, Azizah Abdul Majid, Zanariah |
| author_facet | Ramli, Azizah Abdul Majid, Zanariah |
| author_sort | Ramli, Azizah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, an implicit multistep block method of order three is proposed for solving fuzzy differential equations. The method is based on diagonally implicit multistep block method where the coefficients of the lower triangular matrix entries are zero. This method works by moving two steps in a block, thus the values of yn+1 and yn+2 are approximated simultaneously. The formulas are derived by using Lagrange interpolating polynomial. The method is carried out by combining the predictor and corrector formulas. The performances of the block method are compared with the existing methods by solving some numerical problems. |
| first_indexed | 2025-11-15T10:52:39Z |
| format | Conference or Workshop Item |
| id | upm-57399 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:39Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573992017-09-27T07:28:27Z http://psasir.upm.edu.my/id/eprint/57399/ Solving fuzzy differential equations using implicit multistep block method Ramli, Azizah Abdul Majid, Zanariah In this paper, an implicit multistep block method of order three is proposed for solving fuzzy differential equations. The method is based on diagonally implicit multistep block method where the coefficients of the lower triangular matrix entries are zero. This method works by moving two steps in a block, thus the values of yn+1 and yn+2 are approximated simultaneously. The formulas are derived by using Lagrange interpolating polynomial. The method is carried out by combining the predictor and corrector formulas. The performances of the block method are compared with the existing methods by solving some numerical problems. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57399/1/Solving%20fuzzy%20differential%20equations%20using%20implicit%20multistep%20block%20method.pdf Ramli, Azizah and Abdul Majid, Zanariah (2014) Solving fuzzy differential equations using implicit multistep block method. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. (pp. 1-7). 10.1063/1.4932428 |
| spellingShingle | Ramli, Azizah Abdul Majid, Zanariah Solving fuzzy differential equations using implicit multistep block method |
| title | Solving fuzzy differential equations using implicit multistep block method |
| title_full | Solving fuzzy differential equations using implicit multistep block method |
| title_fullStr | Solving fuzzy differential equations using implicit multistep block method |
| title_full_unstemmed | Solving fuzzy differential equations using implicit multistep block method |
| title_short | Solving fuzzy differential equations using implicit multistep block method |
| title_sort | solving fuzzy differential equations using implicit multistep block method |
| url | http://psasir.upm.edu.my/id/eprint/57399/ http://psasir.upm.edu.my/id/eprint/57399/ http://psasir.upm.edu.my/id/eprint/57399/1/Solving%20fuzzy%20differential%20equations%20using%20implicit%20multistep%20block%20method.pdf |