Initial Value Methods for the Numerical Simulation of Fuzzy Two-Point Boundary Value Problems Using General Linear Method

Basem Attili
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Basem Attili: University of Sharjah, UAE

International Journal of Fuzzy System Applications (IJFSA), 2021, vol. 10, issue 1, 94-126

Abstract: This article considers the numerical simulation of fuzzy two-point boundary value problems (FBVP) using general linear method (GLM). The author derived the method, which is a combination of a Runge-Kutta type method and multi-step method. It is originally designed to solve initial value problems. It requires fewer function evaluations than the traditional Runge-Kutta methods making it computationally more efficient in achieving the required accuracy. The author will utilize the combination of the GLM with initial value methods to solve the linear fuzzy BVP's and a shooting-like method for the nonlinear cases. Numerical testing and simulation of several examples, considered by other authors, will be presented to show the efficiency of the proposed method.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jfsa00:v:10:y:2021:i:1:p:94-126

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