|
iRepository at Perpustakaan UniMAP >
UNIVERSITY LIBRARY >
Conference Papers >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/10295
|
| Title: | Incorporating optimisation technique into Euler’s method for solving differential equations with fuzzy initial values |
| Authors: | Muhammad Zaini, Ahmad
Mohammad Khatim, Hasan |
| E-mail: | mzaini@unimap.edu.my
khatim@ftsm.ukm.my |
| Keywords: | Euler’s method
Fuzzy set
Fuzzy initial value
Optimisation
Zadeh’s extension principle
Regional Conference on Applied and Engineering Mathematics (RCAEM) |
| Issue Date: | 2-Jun-2010 |
| Publisher: | Universiti Malaysia Perlis (UniMAP) |
| Department: | Institut Matematik Kejuruteraan |
| Series/Report no.: | Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 |
| Abstract: | Fuzzy set provides a powerful technique to introduce uncertainty into numerical methods. However, the computations of
fuzzy sets often face difficult problems. This is due to non-applicability of common existing methods, severe overestimation
in computation, or very high computational complexity. This paper proposes a new strategy to introduce uncertainty
into Euler’s method. It consists of two parts. First, we develop a new fuzzy version of Euler’s method, which takes into
account the dependency problem that arises in the classical Euler’s method. Second, we perform optimisation technique
to approximate the solution of differential equations with fuzzy initial values. This combination gives accurate results and
requires only few function evaluations. Several examples are provided to show the capability of our proposed methods
compared to the conventional fuzzy version of Euler’s method proposed in the literature. |
| Description: | 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| URI: | http://hdl.handle.net/123456789/10295 |
| Appears in Collections: | Conference Papers
|
Files in This Item:
| File |
Description |
Size | Format |
|---|
| R007.pdf | Access is limited to UniMAP community | 30.26 kB | Adobe PDF | View/Open |
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|
