文献类型：期刊文献

英文题名：Approximate Solution of nth-Order Fuzzy Linear Differential Equations

作者：Guo, Xiaobin[1];Shang, Dequan[2]

第一作者：Guo, Xiaobin

通信作者：Shang, DQ[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 730000, 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), Gansu Coll Tradit Chinese Med, Dept Publ Courses, Lanzhou 730000, Peoples R China.|[10735]甘肃中医药大学;

年份：2013

卷号：2013

外文期刊名：MATHEMATICAL PROBLEMS IN ENGINEERING

收录：;EI(收录号：20132016324343);Scopus(收录号：2-s2.0-84877291780);WOS:【SCI-EXPANDED(收录号:WOS:000318081100001)】；

基金：The work is supported by the Natural Scientific Funds of PR China (71061013) and the Youth Research Ability Project of Northwest Normal University (NWNU-LKQN-11-20).

语种：英文

外文关键词：Fuzzy sets - Linear equations - Numerical methods

摘要：The approximate solution of nth-order fuzzy linear differential equations in which coefficient functions maintainthe 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.