Robust Numerical Method for Solving Fuzzy Volterra Integro-Differential Equations under Generalized Differentiability by Runge-Kutta Verner Method

  • Indrakumar S, Arun Prakash K, Vengataasalam S

Abstract

In recent years Fuzzy Volterra Integro-Differential equations showed up in numerous applications such as fuzzy metric spaces, populace models, medicine, building issues, and others.  In this paper, Runge-Kutta Verner method was employed to solve fuzzy Volterra integro-differential equations of the second kind. The concept of generalized differentiability was used to covert fuzzy Volterra integro-differential equations into Volterra integro-differential equations. To represent the productivity of proposed method, the numerical example was illustrated and the numerical outcomes showing exact and approximate solutions were represented graphically for (1) and (2) differentiable functions.

Published
2020-05-27
How to Cite
Indrakumar S, Arun Prakash K, Vengataasalam S. (2020). Robust Numerical Method for Solving Fuzzy Volterra Integro-Differential Equations under Generalized Differentiability by Runge-Kutta Verner Method . International Journal of Advanced Science and Technology, 29(05), 8736-8771. Retrieved from http://sersc.org/journals/index.php/IJAST/article/view/18714