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Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga-Kutta-Merson-Method under generalized H-differentiability and its Application in Industry
Version 1
: Received: 17 December 2017 / Approved: 18 December 2017 / Online: 18 December 2017 (10:23:51 CET)
How to cite:
Mondal, S.P.; Roy, S.; Das, B.; Mahata, A. Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga-Kutta-Merson-Method under generalized H-differentiability and its Application in Industry. Preprints2017, 2017120119. https://doi.org/10.20944/preprints201712.0119.v1
Mondal, S.P.; Roy, S.; Das, B.; Mahata, A. Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga-Kutta-Merson-Method under generalized H-differentiability and its Application in Industry. Preprints 2017, 2017120119. https://doi.org/10.20944/preprints201712.0119.v1
Mondal, S.P.; Roy, S.; Das, B.; Mahata, A. Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga-Kutta-Merson-Method under generalized H-differentiability and its Application in Industry. Preprints2017, 2017120119. https://doi.org/10.20944/preprints201712.0119.v1
APA Style
Mondal, S.P., Roy, S., Das, B., & Mahata, A. (2017). Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga-Kutta-Merson-Method under generalized H-differentiability and its Application in Industry. Preprints. https://doi.org/10.20944/preprints201712.0119.v1
Chicago/Turabian Style
Mondal, S.P., Biswajit Das and Animesh Mahata. 2017 "Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga-Kutta-Merson-Method under generalized H-differentiability and its Application in Industry" Preprints. https://doi.org/10.20944/preprints201712.0119.v1
Abstract
The paper presents an adaptation of numerical solution of first order linear differential equation in fuzzy environment. The numerical method is re-established and studied with fuzzy concept to estimate its uncertain parameters whose values are not precisely known. Demonstrations of fuzzy solutions of the governing methods are carried out by the approaches, namely Modified Runge Kutta method and Runge Kutta Merson method. The results are compared with the exact solution which is found using generalized Hukuhara derivative (gH-derivative) concepts. Additionally, different illustrative examples and an application in industry of the methods are also undertaken with the useful table and graph to show the usefulness for attained to the proposed approaches.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
