Runge-Kutta Fehlberg Method for Solving Linear and Nonlinear Fuzzy Fredholm Integro-Differential Equations

Authors

Porpattama Hammachukiattikul, Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket, Thailand-83000Follow
Bundit Unyong, Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket, Thailand-83000Follow
R. Suresh, Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur, India 602117Follow
Grienggrai Rajchakit, Department of Mathematics, Faculty of Science, Maejo University, Sansai 50290, Chiang Mai, ThailandFollow
R. Vadivel, Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket, Thailand-83000Follow
Nallappan Gunasekaran, Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama 337-8570, JapanFollow

Author Country (or Countries)

Thailand-83000

Abstract

A study on the parametric form of fuzzy numbers is presented in this paper. The Runge-Kutta Fehlberg method is exploited to yield the approximate solution with respect to the second type of fuzzy Fredholm integro-differential equations. Both linear and nonlinear numerical examples are provided in our analysis. The results ascertain the effectiveness and precision of the proposed method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150106

Recommended Citation

Hammachukiattikul, Porpattama; Unyong, Bundit; Suresh, R.; Rajchakit, Grienggrai; Vadivel, R.; and Gunasekaran, Nallappan (2021) "Runge-Kutta Fehlberg Method for Solving Linear and Nonlinear Fuzzy Fredholm Integro-Differential Equations," Applied Mathematics & Information Sciences: Vol. 15: Iss. 1, Article 6.
DOI: http://dx.doi.org/10.18576/amis/150106
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss1/6