Open Access

ARTICLE

Numerical Solving of a Boundary Value Problem for Fuzzy Differential Equations

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1 Faculty of Commercial Sciences, Bas¸kent University, 06810, Ankara, Turkey. Email: afet@baskent.edu.tr
2 Department of Actuarial Sciences, Hacettepe University, 06800, Ankara, Turkey. Email: ckoroglu@hacettepe.edu.tr

Computer Modeling in Engineering & Sciences 2012, 86(1), 39-52. https://doi.org/10.3970/cmes.2012.086.039

Abstract

In this work we solve numerically a boundary value problem for second order fuzzy differential equations under generalized differentiability in the form y''(t) = p(t)y'(t) + q(t)y(t) + F(t) y(0) = γ, y(l) = λ where t ∈T = [0,l], p(t)≥0, q(t)≥0 are continuous functions on [0,l] and [γ]^α = [γ_{_α},γ⁻_α], [λ]^α = [λ_{_α},λ^¯_α] are fuzzy numbers. There are four different solutions of the problem (0.1) when the fuzzy derivative is considered as generalization of the H-derivative. An algorithm is presented and the finite difference method is used for solving obtained problems. The applicability of presented algorithm is illustrated by solving an examples of boundary value problems for second order fuzzy differential equations.

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Keywords

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