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

Boundary value problems

Dequan Shang¹  Xiaobin Guo²  Xiaoquan Lu³ 

[1] College of Chemistry and Chemical Engineering, Northwest Normal University, Lanzhou, China;College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China;Department of Public Courses, Gansu College of Traditional Chinese Medicine, Lanzhou, China

关键词: fuzzy numbers;    matrix analysis;    fuzzy boundary value problems;    fuzzy approximate solutions;   

DOI  :  10.1186/1687-2770-2013-212

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY