文献类型：期刊文献

英文题名：Fuzzy approximate solutions of second-order fuzzy linear boundary value problems

作者：Guo, Xiaobin[1];Shang, Dequan[2];Lu, Xiaoquan[3]

第一作者：Guo, Xiaobin

通信作者：Guo, XB[1]

机构：[1]Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China;[2]Gansu Coll Tradit Chinese Med, Dept Publ Courses, Lanzhou 730070, Peoples R China;[3]Northwest Normal Univ, Coll Chem & Chem Engn, Lanzhou 730070, Peoples R China

第一机构：Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

通信机构：[1]corresponding author), Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China.

年份：2013

卷号：2013

外文期刊名：BOUNDARY VALUE PROBLEMS

收录：;Scopus(收录号：2-s2.0-84887956797);WOS:【SCI-EXPANDED(收录号:WOS:000209342800001)】；

基金：The work is supported by the Natural Scientific Funds of PR China (71061013, 21175108) and the Youth Research Ability Project of Northwest Normal University (NWNU-LKQN-1120).

语种：英文

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

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.