Numerical solution of hybrid fuzzy differential equations by runge-kutta method of order five and the dependency problem
نویسندگان
چکیده
In this paper, we study the numerical solution of hybrid fuzzy differential equations by using Runge-Kutta method of order five. This method is adopted to solve the dependency problem in fuzzy computation. Numerical examples are presented to illustrate the theory. 2010 AMS Classification: 03E72, 08A72
منابع مشابه
Numerical Solution for Hybrid Fuzzy Differential Equations by Ruge-Kutta Fehlberg Method
In this paper we study numerical methods for Hybrid Fuzzy Differential equations by an appllication of the Runge-kutta Fehlberg method for fuzyy differential equations. We prove a convergence result and give numerical examples to illustrate the theory.
متن کاملNonstandard explicit third-order Runge-Kutta method with positivity property
When one solves differential equations, modeling physical phenomena, it is of great importance to take physical constraints into account. More precisely, numerical schemes have to be designed such that discrete solutions satisfy the same constraints as exact solutions. Based on general theory for positivity, with an explicit third-order Runge-Kutta method (we will refer to it as RK3 method) pos...
متن کاملSolving Hybrid Fuzzy Fractional Differential Equations by Runge Kutta 4th Order Method
In this paper we study numerical methods for hybrid fuzzy fractional differential equation, Degree of Sub element hood and the iteration method is used to solve the hybrid fuzzy fractional differential equations with a fuzzy initial condition.
متن کاملDifferential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell
In this paper, differential transform method (DTM) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in HIV infections of cell. Intervals of validity of the solution will be extended by using Pade approximation. The results also will be compared with those results obtained by Runge-Kutta method. The technique is described and is illustrat...
متن کاملSymplectic and symmetric methods for the numerical solution of some mathematical models of celestial objects
In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...
متن کامل