Approximate Solution of nth-Order Fuzzy Linear Differential Equations. (15th April 2013)

• Record Type: Journal Article
• Authors: Guo, Xiaobin; Shang, Dequan
• Other Names: Yu Ker-Wei Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-04-15
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/406240
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The approximate solution of n th-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.