Approximate Solution of nth-Order Fuzzy Linear Differential Equations

Approximate Solution of nth-Order Fuzzy Linear Differential Equations

The approximate solution of nth-order fuzzy linear differential equations in which coefficient functions maintain the sign is investigated by the undetermined fuzzy coefficients method. The differential equations is converted to a crisp function system of linear equations according to the operations...

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Main Authors: Xiaobin Guo, Dequan Shang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/406240
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spelling doaj-2e99606f3c0445c78f9a39ff8a9ecef62020-11-25T00:18:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/406240406240Approximate Solution of nth-Order Fuzzy Linear Differential EquationsXiaobin Guo0Dequan Shang1College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Public Courses, Gansu College of Traditional Chinese Medicine, Lanzhou 730000, ChinaThe approximate solution of nth-order fuzzy linear differential equations in which coefficient functions maintain the sign is investigated by the undetermined fuzzy coefficients method. The differential equations is converted to a crisp function system of linear equations according to the operations of fuzzy numbers. The fuzzy approximate solution of the fuzzy linear differential equation is obtained by solving the crisp linear equations. Some numerical examples are given to illustrate the proposed method. It is an extension of Allahviranloo's results.http://dx.doi.org/10.1155/2013/406240
collection DOAJ
language English
format Article
sources DOAJ
author Xiaobin Guo
Dequan Shang
spellingShingle Xiaobin Guo
Dequan Shang
Approximate Solution of nth-Order Fuzzy Linear Differential Equations
Mathematical Problems in Engineering
author_facet Xiaobin Guo
Dequan Shang
author_sort Xiaobin Guo
title Approximate Solution of nth-Order Fuzzy Linear Differential Equations
title_short Approximate Solution of nth-Order Fuzzy Linear Differential Equations
title_full Approximate Solution of nth-Order Fuzzy Linear Differential Equations
title_fullStr Approximate Solution of nth-Order Fuzzy Linear Differential Equations
title_full_unstemmed Approximate Solution of nth-Order Fuzzy Linear Differential Equations
title_sort approximate solution of nth-order fuzzy linear differential equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description The approximate solution of nth-order fuzzy linear differential equations in which coefficient functions maintain the sign is investigated by the undetermined fuzzy coefficients method. The differential equations is converted to a crisp function system of linear equations according to the operations of fuzzy numbers. The fuzzy approximate solution of the fuzzy linear differential equation is obtained by solving the crisp linear equations. Some numerical examples are given to illustrate the proposed method. It is an extension of Allahviranloo's results.
url http://dx.doi.org/10.1155/2013/406240
work_keys_str_mv AT xiaobinguo approximatesolutionofnthorderfuzzylineardifferentialequations
AT dequanshang approximatesolutionofnthorderfuzzylineardifferentialequations
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