Fuzzy Systems

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Solving Fuzzy Differential Equations by Runge-Kutta Method of Order Two


Affiliations
1 Department of Mathematics, Kongu Engineering College, Perundurai, Erode-638 052, Tamilnadu, India
     

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In this paper, numerical algorithms for solving “Fuzzy ordinary differential equations” are considered. A scheme based on the Runge-Kutta method of order two is discussed in detail and this is followed by a complete error analysis.


Keywords

Fuzzy Differential Equations, Fuzzy Initial Value Differential Equation, Runge-Kutta Method of Order Two, Trapezoidal Fuzzy Number.
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  • Solving Fuzzy Differential Equations by Runge-Kutta Method of Order Two

Abstract Views: 253  |  PDF Views: 3

Authors

C. Duraisamy
Department of Mathematics, Kongu Engineering College, Perundurai, Erode-638 052, Tamilnadu, India
B. Usha
Department of Mathematics, Kongu Engineering College, Perundurai, Erode-638 052, Tamilnadu, India

Abstract


In this paper, numerical algorithms for solving “Fuzzy ordinary differential equations” are considered. A scheme based on the Runge-Kutta method of order two is discussed in detail and this is followed by a complete error analysis.


Keywords


Fuzzy Differential Equations, Fuzzy Initial Value Differential Equation, Runge-Kutta Method of Order Two, Trapezoidal Fuzzy Number.