Numerical Solution of Fuzzy Differential Equations by Runge-Kutta Verner Method

In this paper we study the numerical methods for Fuzzy Differential equations by an application of the Runge-Kutta Verner method for fuzzy differential equations. We prove a convergence result and give numerical examples to illustrate the theory.

[1]  Tofigh Allahviranloo,et al.  Numerical solution of fuzzy differential equations by predictor-corrector method , 2007, Inf. Sci..

[2]  J. Nieto,et al.  Bounded solutions for fuzzy differential and integral equations , 2006 .

[3]  Saeid Abbasbandy,et al.  Numerical Solutions of Fuzzy Differential Equations by Taylor Method , 2002 .

[4]  T Allahviranloo,et al.  NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATION BY TAILOR METHOD , 2002 .

[5]  A. Ralston.  A first course in numerical analysis , 1965 .

[6]  C. Duraisamy,et al.  NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS BY TAYLOR METHOD , 2011 .

[7]  Numerical Solution for Hybrid Fuzzy Systems by Milne's Fourth Order Predictor-Corrector Method , 2014 .

[8]  K. Kanagarajan,et al.  Numerical Solution of Nth-Order Fuzzy Differential Equation by Runge-Kutta Nystrom Method , 2014 .

[9]  Abraham Kandel,et al.  Numerical solutions of fuzzy differential equations , 1999, Fuzzy Sets Syst..

[10]  Numerical solution of fuzzy differential equations by third order Runge-Kutta method , 2010 .

[11]  V. Lakshmikantham,et al.  Theory of Fuzzy Differential Equations and Inclusions , 2003 .

[12]  Angelika Fruehauf,et al.  A First Course In Numerical Analysis , 2016 .

[13]  Numerical Solution for Hybrid Fuzzy System by Runge-Kutta Method of Order Five , 2012 .

[14]  D. Dubois,et al.  Towards fuzzy differential calculus part 3: Differentiation , 1982 .

[15]  Sri Ramakrishna,et al.  Numerical Solution of Fuzzy Differential Equations by Runge Kutta Method of Order Five , 2012 .

[16]  T Alah Viranlou,et al.  NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATION BY RUNGE-KUTTA METHOD , 2001 .

[17]  S. Seikkala.  On the fuzzy initial value problem , 1987 .

[18]  M. Puri,et al.  DIFFERENTIAL FOR FUZZY FUNCTION , 1983 .

[19]  Osmo Kaleva.  Fuzzy differential equations , 1987 .

[20]  Numerical Solution for Hybrid Fuzzy Systems by Improved Euler Method , 2012 .

[21]  Lotfi A. Zadeh,et al.  On Fuzzy Mapping and Control , 1996, IEEE Trans. Syst. Man Cybern..

[22]  M. Puri,et al.  Differentials of fuzzy functions , 1983 .

[23]  Osmo Kaleva.  The Cauchy problem for fuzzy differential equations , 1990 .

[24]  R. Goetschel,et al.  Elementary fuzzy calculus , 1986 .