Solving Fuzzy Differential Equations using R-K (Runge-Kutta) Method

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Authors

  • R. Keerthika
     Assistant Professor of PG Department of Mathematics, Vellalar College for Women (Autonomous), Thindal, Erode - 638012, Tamil Nadu ,IN
  • M. S. Pooja Rupaneeja
     M.Sc., Students of Mathematics, Vellalar College for Women (Autonomous), Thindal, Erode - 638012, Tamil Nadu ,IN
  • S. Selva Prabha
     M.Sc., Students of Mathematics, Vellalar College for Women (Autonomous), Thindal, Erode - 638012, Tamil Nadu ,IN

DOI:

https://doi.org/10.15613/sijrs/2022/v9i1-2/43539

Keywords:

Approximate Solution, Exact Equation, FDEs, Sequence, Simultaneous Equation

Abstract

In a wide variety of technical specialties as well as in the field of medical, (fuzzy differential equations) FDEs models being used. Chang S.L. and Zadeh L.A. developed the term “fuzzy derivative.” After that, Dubosis, D., and Prade applied the extension principle in their strategy. Kandel A. and Byatt W.J. coined the phrase “fuzzy differential equation” in 1987. This study applies the Hukuhara derivative of the fuzzy process to the R-K Method of order 5 to solve fuzzy first- and second-order ODEs. This approach has been demonstrated by resolving a fuzzy Cauchy problem, followed by the numerical elucidation of FDEs using the order of five of R-K method.

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Published

2024-04-17

Issue

Volume 9, Issue 1-2, January-December 2022

Section

Articles

 

References

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