Title : ( Convergence and stability of the improved predictor corrector method for solving fuzzy differential equations driven by liu’s process )
Authors: samira siah mansouri , Mortaza Gachpazan , Omid Solaymani Fard ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
Fuzzy differential equation (FDE) is a type of differential equation driven by Liu’s process. In this paper, a concept of a-path to FDE is presented, which is a type of certain function that solves an associate ordinary differential equation. Then, an improved predictor corrector (IPC) method is introduced to solve FDEs, which essentially solves each a-path and produces an inverse credibility distribution of the solution. Moreover, the convergence and stability of the IPC method is presented in details. We explain that our estimation has a good degree of accuracy.
Keywords
, Fuzzy Liu’s process, Improved predictor corrector (IPC) method, Convergence, Stability
@article{paperid:1066861,
author = {Siah Mansouri, Samira and Gachpazan, Mortaza and Omid Solaymani Fard},
title = {Convergence and stability of the improved predictor corrector method for solving fuzzy differential equations driven by liu’s process},
journal = {International Journal of Pure and Applied Mathematics},
year = {2017},
volume = {113},
number = {5},
month = {April},
issn = {1311-8080},
pages = {627--641},
numpages = {14},
keywords = {Fuzzy Liu’s process; Improved predictor corrector (IPC) method; Convergence;
Stability},
}
%0 Journal Article
%T Convergence and stability of the improved predictor corrector method for solving fuzzy differential equations driven by liu’s process
%A Siah Mansouri, Samira
%A Gachpazan, Mortaza
%A Omid Solaymani Fard
%J International Journal of Pure and Applied Mathematics
%@ 1311-8080
%D 2017
