A fuzzy Cauchy problem modelling the decay of the biochemical oxygen demand in water

Author

Diniz, G.L. ; Fernandes, J.F.R. ; Meyer, J.F.C.A. ; Barros, L.C.

Author_Institution

UFMT, Cuiaba, Brazil

Volume

1

fYear

2001

fDate

25-28 July 2001

Firstpage

512

Abstract

A very important physical-chemical parameter of water is the concentration of dissolved oxygen necessary for all living aquatic organisms. In this work, we have proposed a fuzzy model to describe the decay of the dissolved oxygen concentration in water using fuzzy differential equations, the classic analytic solution of which is well known. We use the Euler and Runge-Kutta 4^th order methods to obtain an approximate solution of an initial value problem of a fuzzy linear ordinary differential equation modelling decay. We compare numerical results with the fuzzy analytic solution presented by Barros et al (2000) for the similar fuzzy differential equation

Keywords

Runge-Kutta methods; differential equations; fuzzy set theory; initial value problems; water; water pollution measurement; concentration of dissolved oxygen; decay of dissolved oxygen; dissolved oxygen level; environment; fuzzy differential equations; fuzzy model; initial value problem; physical-chemical parameter; water quality; Biological system modeling; Chemicals; Differential equations; Fuzzy sets; Organisms; Oxygen; Pollution measurement; Rivers; Thermal pollution; Water pollution;

fLanguage

English

Publisher

ieee

Conference_Titel

IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th

Conference_Location

Vancouver, BC

Print_ISBN

0-7803-7078-3

Type

conf

DOI

10.1109/NAFIPS.2001.944305

Filename

944305