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Research Article

Solving Fuzzy Differential Equationsin Runge- Kutta Method Of Order Three


Author(s): Sharmila , Josephine Mary,Maria Nancy Flora,Mahesh
Affiliation: PG and Research Department of Mathematics St. Joseph’s College of Arts and Science (autonomous), Cuddalore , India
Year of Publication: 2014
Source: International Journal of Computing Algorithm
     
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Citation: Sharmila, Josephine Mary,Maria Nancy Flora,Mahesh. "Solving Fuzzy Differential Equationsin Runge- Kutta Method Of Order Three." International Journal of Computing Algorithm 3.3 (2014): 198-201.

Abstract:
In this paper, we study numerical method for Fuzzy differential equations by Runge-Kutta method of order three. The elementary properties of this method are given. We use the extended Runge-Kutta method of order three in order to enhance the order of accuracy of the solution. Thus we can obtain the strong Fuzzy solution.


Keywords Fuzzy differential equations, Runge-Kutta method of order three, Trapezoidal Fuzzy number.


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@article{Sol1496812, author = {Sharmila,Josephine Mary,Maria Nancy Flora,Mahesh}, title = {Solving Fuzzy Differential Equationsin Runge- Kutta Method Of Order Three}, journal={International Journal of Computing Algorithm}, volume={3}, issue={3}, issn = {2278-2397}, year = {2014}, publisher = {Scholarly Citation Index Analytics-SCIA}

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  • [6]. O. Kaleva, The Cauchy Problem for Fuzzy Differential Equations, Fuzzy sets and systems, 35 1990 389-396.
  • [7]. Duraisamy .C and Usha .B, Numerical Solution of Fuzzy Differential Equations by Runge-kutta Method, National conference on scientific computing and Applied Mathematics.
  • [8]. Duraisamy .C and Usha .B, Numerical Solution of Fuzzy Differential Equations by Taylor method, International journal of Mathematical Archive Vol.2, 2011.
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