Open Access Research

Fuzzy approximate solutions of second-order fuzzy linear boundary value problems

Xiaobin Guo13*, Dequan Shang2 and Xiaoquan Lu3

Author Affiliations

1 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, China

2 Department of Public Courses, Gansu College of Traditional Chinese Medicine, Lanzhou, 730000, China

3 College of Chemistry and Chemical Engineering, Northwest Normal University, Lanzhou, 730070, China

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Boundary Value Problems 2013, 2013:212  doi:10.1186/1687-2770-2013-212

Published: 30 September 2013

Abstract

In this paper, approximate solutions of second-order linear differential equations with fuzzy boundary conditions, in which coefficient functions maintain the sign, are investigated. The fuzzy linear boundary value problem is converted to a crisp function system of linear equations by the undetermined fuzzy coefficients method. 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.

Keywords:
fuzzy numbers; matrix analysis; fuzzy boundary value problems; fuzzy approximate solutions