A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4”
In this note we show that the example presented in a recent paper by Ghazanfari et al. is incorrect. Namely, the “exact solution” suggested by the authors is not solution of the given fuzzy differential equation (FDE). Indeed, the authors have proposed an exact solution which is independent from the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Elsevier
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30363/1/A%20note%20on.pdf |
| _version_ | 1796971725977550848 |
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| author | Dizicheh, Ali Karimi Salahshour, Soheil Ismail, Fudziah |
| author_facet | Dizicheh, Ali Karimi Salahshour, Soheil Ismail, Fudziah |
| author_sort | Dizicheh, Ali Karimi |
| collection | UPM |
| description | In this note we show that the example presented in a recent paper by Ghazanfari et al. is incorrect. Namely, the “exact solution” suggested by the authors is not solution of the given fuzzy differential equation (FDE). Indeed, the authors have proposed an exact solution which is independent from the initial condition. So, we obtain the correct exact solution using the characterization theorem proposed by Bede et al. under Seikkala differentiability. Also, some details are given for the mentioned example. |
| first_indexed | 2024-03-06T08:17:20Z |
| format | Article |
| id | upm.eprints-30363 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:17:20Z |
| publishDate | 2013 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | upm.eprints-303632015-10-08T06:40:43Z http://psasir.upm.edu.my/id/eprint/30363/ A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4” Dizicheh, Ali Karimi Salahshour, Soheil Ismail, Fudziah In this note we show that the example presented in a recent paper by Ghazanfari et al. is incorrect. Namely, the “exact solution” suggested by the authors is not solution of the given fuzzy differential equation (FDE). Indeed, the authors have proposed an exact solution which is independent from the initial condition. So, we obtain the correct exact solution using the characterization theorem proposed by Bede et al. under Seikkala differentiability. Also, some details are given for the mentioned example. Elsevier 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30363/1/A%20note%20on.pdf Dizicheh, Ali Karimi and Salahshour, Soheil and Ismail, Fudziah (2013) A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4”. Fuzzy Sets and Systems, 233. pp. 96-100. ISSN 0165-0114 10.1016/j.fss.2013.03.006 English |
| spellingShingle | Dizicheh, Ali Karimi Salahshour, Soheil Ismail, Fudziah A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4” |
| title | A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4” |
| title_full | A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4” |
| title_fullStr | A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4” |
| title_full_unstemmed | A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4” |
| title_short | A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4” |
| title_sort | note on numerical solutions of fuzzy differential equations by extended runge kutta like formulae of order 4 |
| url | http://psasir.upm.edu.my/id/eprint/30363/1/A%20note%20on.pdf |
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