Numerical solution of hybrid fuzzy differential equations using improved predictor-corrector method

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 10, 2012, Pages 3788-3794

  Kim, Hyunsoo ^a   Sakthivel, Rathinasamy ^b  

^a Kyung Hee University   (South Korea)

^b Sungkyunkwan University   (South Korea)

Author keywords

Fuzzy initial value problem; Hybrid fuzzy differential equations; Improved predictor corrector method; Numerical solution

Indexed keywords

INITIAL VALUE PROBLEMS;

FUZZY DIFFERENTIAL EQUATIONS; FUZZY INITIAL VALUE PROBLEM; HYBRID FUZZY DIFFERENTIAL EQUATION; IMPROVED PREDICTOR-CORRECTOR METHOD; MATHEMATICA; NUMERICAL SOLUTION; PREDICTOR-CORRECTOR METHODS; SCIENCE AND ENGINEERING; SYMBOLIC SYSTEMS;

NUMERICAL METHODS;

EID: 84862832767     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2012.02.003     Document Type: Article

References (17)

1. Abbasbandy S., Allahviranloo T., Lopez-Pouso O., Nieto J.J. Numerical methods for fuzzy differential inclusions. Comput Math Appli 2004, 48:1633-1641.
2. Allahviranloo T., Ahmadi N., Ahmadi E. Numerical solution of fuzzy differential equations by predictor-corrector method. Inf Sci 2007, 177:1633-1647.
3. Allahviranloo T., Kiani N.A., Motamedi N. Solving fuzzy differential equations by differential transformation method. Inf Sci 2009, 179:956-966.
4. Allahviranloo T., Ahmady E., Ahmady N. Nth-order fuzzy linear differential equations. Inf Sci 2008, 178:1309-1324.
5. Allahviranloo T., Abbasbandy S., Ahmady E., Ahmady N. Improved predictor-corrector method for solving fuzzy initial value problems. Inf Sci 2009, 179:945-955.
6. Barros L.C., Bassanezi R.C., Tonelli P.A. Fuzzy modelling in population dynamics. Ecol Model 2000, 128:27-33.
7. Buckley J.J., Eslami E., Feuring T. Fuzzy Mathematics in Economics and Engineering 2002, Springer.
8. Friedman M., Ma M., Kandel A. Numerical solution of fuzzy differential and integral equations. Fuzzy Sets Syst 1999, 106:35-48.
9. Jafari H., Saeidy M., Vahidi J. The homotopy analysis method for solving fuzzy system of linear equations. Int J Fuzzy Syst 2009, 11(4):308-313.
10. Kaleva O. Fuzzy differential equations. Fuzzy Sets Syst 1987, 24:301-317.
11. Khastan A., Nieto J.J. A boundary value problem for second order fuzzy differential equations. Nonlinear Anal TMA 2010, 72:3583-3593.
12. Kastan A., Ivaz K. Numerical solution of fuzzy differential equations by Nyström method. Chaos, Solitons Fract 2009, 41:859-868.
13. Pederson S., Sambandham M. Numerical solution to hybrid fuzzy systems. Math Comput Model 2007, 45:1133-1144.
14. Pederson S., Sambandham M. Numerical solution of hybrid fuzzy differential equation IVPs by a characterization theorem. Inf Sci 2009, 179:319-328.
15. Prakash P., Kalaiselvi V. Numerical solution of hybrid fuzzy differential equations by predictor-corrector method. Int J Comput Math 2009, 86:121-134.
16. Seikkala S. On the fuzzy initial value problem. Fuzzy Sets Syst 1987, 24:319-330.
17. Xu J., Liao Z., Nieto J.J. A class of linear differential dynamical systems with fuzzy matrices. J Math Anal Appl 2010, 368:54-68.