Finite Volume Methods for Fuzzy Parabolic Equations

Volume 2, Issue 3, pp 546--558 http://dx.doi.org/10.22436/jmcs.02.03.17

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Authors

Mahmoud Mohseni Moghadam - SBUK Center of Excellence in Linear Algebra and Optimization, Kerman, Iran Iman Jalal - Faculty of Mathematics and Computer Science, Kerman Shahid Bahonar University

Abstract

In this paper a numerical method for solving “fuzzy partial differential equation” (FPDE) is considered. We present finite volume method that solves some FPDEs such as fuzzy hyperbolic equations, fuzzy parabolic equations and fuzzy elliptic equations. We obtain explicit, implicit and Crank–Nicolson schemes for solving fuzzy heat equation and then see if stability and consistency of these methods exist, and conditions for stability and consistency are given. These methods are illustrated by solving some examples.

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Keywords

• Fuzzy Partial Differential Equations
• Finite Volume Methods.

MSC

•  65N30
•  76M12
•  65M08
•  35K58
•  93C42

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