NUMERICAL SOLUTION OF FUZZY DELAY DIFFERENTIAL EQUATIONS BY FOURTH ORDER RUNGE-KUTTA METHOD

2016 ◽  
Vol 21 (2) ◽  
pp. 135-161 ◽  
Author(s):  
T. Jayakumar ◽  
A. Parivallal ◽  
D. Prasantha Bharathi
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Fourth Order ◽  
Delay Differential Equations ◽  
Kutta Method ◽  
Runge Kutta Method ◽  
Runge Kutta ◽  
Delay Differential

scholarly journals Numerical Solution of Fuzzy Delay Differential Equations by Fifth Order Runge-Kutta Method

2021 ◽  
Vol 23 (11) ◽  
pp. 99-109
Author(s):  
T. Muthukumar ◽  
◽  
T. Jayakumar ◽  
D.Prasantha Bharathi ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Delay Differential Equations ◽  
Numerical Solutions ◽  
Kutta Method ◽  
Numerical Examples ◽  
Runge Kutta Method ◽  
Runge Kutta ◽  
Delay Differential ◽  
Fifth Order

In this paper, we develop the numerical solutions of certain type called Fuzzy Delay Differential Equations(FDE) by using fifth order Runge-Kutta method for fuzzy differential equations. This method based on the seikkala derivative and finally we discuss the numerical examples to illustrate the theory.

HISTORY TRACKING ABILITY OF HYBRID SECOND AND FOURTH ORDERS RUNGE-KUTTA IN SOLVING DELAY DIFFERENTIAL EQUATIONS

2017 ◽  
Vol 79 (6) ◽  
Author(s):  
Rui Sih Lim ◽  
Rohanin Ahmad ◽  
Su Hoe Yeak
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Fourth Order ◽  
Delay Differential Equations ◽  
Numerical Scheme ◽  
Third Order ◽  
Acceptable Error ◽  
Tracking Ability ◽  
Runge Kutta ◽  
Delay Differential

This paper presents numerical solution for Delay Differential Equations systems to identify frequent discontinuities which occur after and sometimes before the initial solution. The Runge-Kutta methods have been chosen because they are well-established methods and can be modified to handle discontinuities by means of mapping of past values. The state system of the problem is first discretized before the method is applied to find the solution. Our objective is to develop a scheme for solving delay differential equations using hybrid second and fourth order of Runge-Kutta methods. The results have been compared with the result from Matlab routine dde23 which used second and third order of Runge-Kutta methods.  Our numerical scheme is able to successfully handle discontinuities in the system and produces results with acceptable error.

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