Block backward differentiation formulas for solving second order fuzzy differential equations
In this paper, we study the numerical method for solving second order Fuzzy Differential Equations (FDEs) using Block Backward Differential Formulas (BBDF) under generalized concept of higher-order fuzzy differentiability. Implementation of the method using Newton iteration is discussed. Numerical r...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit UTM Press
2017
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/64098/ http://psasir.upm.edu.my/id/eprint/64098/1/Block%20backward%20differentiation%20formulas%20for%20solving%20second%20order%20fuzzy%20differential%20equations.pdf |
| _version_ | 1848854909503406080 |
|---|---|
| author | Tiaw, Kah Fook Ibrahim, Zarina Bibi |
| author_facet | Tiaw, Kah Fook Ibrahim, Zarina Bibi |
| author_sort | Tiaw, Kah Fook |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the numerical method for solving second order Fuzzy Differential Equations (FDEs) using Block Backward Differential Formulas (BBDF) under generalized concept of higher-order fuzzy differentiability. Implementation of the method using Newton iteration is discussed. Numerical results obtained by BBDF are presented and compared with Backward Differential Formulas (BDF) and exact solutions. Several numerical examples are provided to illustrate our methods. |
| first_indexed | 2025-11-15T11:17:21Z |
| format | Article |
| id | upm-64098 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:17:21Z |
| publishDate | 2017 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-640982018-06-11T08:17:58Z http://psasir.upm.edu.my/id/eprint/64098/ Block backward differentiation formulas for solving second order fuzzy differential equations Tiaw, Kah Fook Ibrahim, Zarina Bibi In this paper, we study the numerical method for solving second order Fuzzy Differential Equations (FDEs) using Block Backward Differential Formulas (BBDF) under generalized concept of higher-order fuzzy differentiability. Implementation of the method using Newton iteration is discussed. Numerical results obtained by BBDF are presented and compared with Backward Differential Formulas (BDF) and exact solutions. Several numerical examples are provided to illustrate our methods. Penerbit UTM Press 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/64098/1/Block%20backward%20differentiation%20formulas%20for%20solving%20second%20order%20fuzzy%20differential%20equations.pdf Tiaw, Kah Fook and Ibrahim, Zarina Bibi (2017) Block backward differentiation formulas for solving second order fuzzy differential equations. Matematika, 33 (2). pp. 215-226. ISSN 0127-8274 https://matematika.utm.my/index.php/matematika/article/view/868 10.11113/matematika.v33.n2.868 |
| spellingShingle | Tiaw, Kah Fook Ibrahim, Zarina Bibi Block backward differentiation formulas for solving second order fuzzy differential equations |
| title | Block backward differentiation formulas for solving second order fuzzy differential equations |
| title_full | Block backward differentiation formulas for solving second order fuzzy differential equations |
| title_fullStr | Block backward differentiation formulas for solving second order fuzzy differential equations |
| title_full_unstemmed | Block backward differentiation formulas for solving second order fuzzy differential equations |
| title_short | Block backward differentiation formulas for solving second order fuzzy differential equations |
| title_sort | block backward differentiation formulas for solving second order fuzzy differential equations |
| url | http://psasir.upm.edu.my/id/eprint/64098/ http://psasir.upm.edu.my/id/eprint/64098/ http://psasir.upm.edu.my/id/eprint/64098/ http://psasir.upm.edu.my/id/eprint/64098/1/Block%20backward%20differentiation%20formulas%20for%20solving%20second%20order%20fuzzy%20differential%20equations.pdf |