Fuzzy Volterra integro-differential equations using general linear method

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 gener...

全面介紹

Saved in:
書目詳細資料
Main Authors: Abdul Majid, Zanariah, Rabiei, Faranak, Abd Hamid, Fatin Nadiah, Ismail, Fudziah
格式: Article
語言:English
出版: MDPI 2019
在線閱讀:http://psasir.upm.edu.my/id/eprint/38417/1/38417.pdf
http://psasir.upm.edu.my/id/eprint/38417/
https://www.mdpi.com/2073-8994/11/3/381
標簽: 添加標簽
沒有標簽, 成為第一個標記此記錄!
機構: Universiti Putra Malaysia
語言: English
實物特徵
總結: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.