Next Article in Journal
Fuzzy Parameterized Complex Neutrosophic Soft Expert Set for Decision under Uncertainty
Previous Article in Journal
Key Feature Recognition Algorithm of Network Intrusion Signal Based on Neural Network and Support Vector Machine
Previous Article in Special Issue
Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions
Article Menu

Export Article

Open AccessArticle
Symmetry 2019, 11(3), 381; https://doi.org/10.3390/sym11030381

Fuzzy Volterra Integro-Differential Equations Using General Linear Method

1
Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Malaysia
2
School of Engineering, Monash University Malaysia, Jalan Lagoon Selatan, Bandar Sunway 47500, Malaysia
*
Author to whom correspondence should be addressed.
Received: 26 December 2018 / Revised: 15 January 2019 / Accepted: 16 January 2019 / Published: 15 March 2019
(This article belongs to the Special Issue Integral Transforms and Operational Calculus)
Full-Text   |   PDF [841 KB, uploaded 15 March 2019]   |  

Abstract

In this paper, a fuzzy general linear method of order three for solving fuzzy Volterra integro-differential equations of second kind is proposed. The general linear method is operated using the both internal stages of Runge-Kutta method and multivalues of a multisteps method. The derivation of general linear method is based on the theory of B-series and rooted trees. Here, the fuzzy general linear method using the approach of generalized Hukuhara differentiability and combination of composite Simpson’s rules together with Lagrange interpolation polynomial is constructed for numerical solution of fuzzy volterra integro-differential equations. To illustrate the performance of the method, the numerical results are compared with some existing numerical methods. View Full-Text
Keywords: fuzzy volterra integro-differential equations; fuzzy general linear method; fuzzy differential equations; generalized Hukuhara differentiability fuzzy volterra integro-differential equations; fuzzy general linear method; fuzzy differential equations; generalized Hukuhara differentiability
Figures

Figure 1

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 (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Abdul Majid, Z.; Rabiei, F.; Abd Hamid, F.; Ismail, F. Fuzzy Volterra Integro-Differential Equations Using General Linear Method. Symmetry 2019, 11, 381.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top