A Runge-Kutta method with reduced number of function evaluations to solve hybrid fuzzy differential equations
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| 024 | 7 | 0 | |a 10.1007/s00500-014-1314-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00500-014-1314-9 | ||
| 245 | 0 | 2 | |a A Runge-Kutta method with reduced number of function evaluations to solve hybrid fuzzy differential equations |h [Elektronische Daten] |c [Ali Ahmadian, Soheil Salahshour, Chee Chan] |
| 520 | 3 | |a In this paper, we employ a numerical algorithm to solve first-order hybrid fuzzy differential equation (HFDE) based on the high order Runge-Kutta method. It is assumed that the user will evaluate both $$f$$ f and $$f'$$ f ′ readily, instead of the evaluations of $$f$$ f only when solving the HFDE. We present a $$O(h^4)$$ O ( h 4 ) method that requires only three evaluations of $$f$$ f . Moreover, we consider the characterization theorem of Bede to solve the HFDE numerically. The convergence of the method will be proven and numerical examples are shown with a comparison to the conventional solutions. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Fuzzy ordinary differential equation |2 nationallicence | |
| 690 | 7 | |a Hybrid system |2 nationallicence | |
| 690 | 7 | |a Bede's characterization theorem |2 nationallicence | |
| 690 | 7 | |a High order Runge-Kutta method |2 nationallicence | |
| 690 | 7 | |a Seikkala derivative |2 nationallicence | |
| 700 | 1 | |a Ahmadian |D Ali |u Centre of Image and Signal Processing, Faculty of Computer Science and Information Technology, University of Malaya, 50603, Kuala Lumpur, Malaysia |4 aut | |
| 700 | 1 | |a Salahshour |D Soheil |u Department of Computer Engineering, College of Technical and Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran |4 aut | |
| 700 | 1 | |a Chan |D Chee |u Centre of Image and Signal Processing, Faculty of Computer Science and Information Technology, University of Malaya, 50603, Kuala Lumpur, Malaysia |4 aut | |
| 773 | 0 | |t Soft Computing |d Springer Berlin Heidelberg |g 19/4(2015-04-01), 1051-1062 |x 1432-7643 |q 19:4<1051 |1 2015 |2 19 |o 500 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00500-014-1314-9 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00500-014-1314-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ahmadian |D Ali |u Centre of Image and Signal Processing, Faculty of Computer Science and Information Technology, University of Malaya, 50603, Kuala Lumpur, Malaysia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Salahshour |D Soheil |u Department of Computer Engineering, College of Technical and Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chan |D Chee |u Centre of Image and Signal Processing, Faculty of Computer Science and Information Technology, University of Malaya, 50603, Kuala Lumpur, Malaysia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Soft Computing |d Springer Berlin Heidelberg |g 19/4(2015-04-01), 1051-1062 |x 1432-7643 |q 19:4<1051 |1 2015 |2 19 |o 500 | ||