Adams method for solving uncertain differential equations

Xiangfeng Yang and Dan A. Ralescu

Applied Mathematics and Computation, 2015, vol. 270, issue C, 993-1003

Abstract: For uncertain differential equations, we cannot always obtain their analytic solutions. Early researchers have described the Euler method and Runge–Kutta method for solving uncertain differential equations. This paper proposes a new numerical method—Adams method to solve uncertain differential equations. Some numerical experiments are given to illustrate the efficiency of our numerical method. Moreover, this paper also gives two numerical methods for calculating the extreme value and the time integral of solutions of uncertain differential equations.

Keywords: Uncertainty theory; Uncertain differential equation; Adams method; Numerical solution (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:993-1003

DOI: 10.1016/j.amc.2015.08.109

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