Numerical solution of fuzzy boundary value problems using Galerkin method

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• 作者：Smita Tapaswini ; S Chakraverty ; Juan J Nieto
• 关键词：Fuzzy number ; triangular fuzzy number ; nth order fuzzy boundary value problems ; Galerkin method
• 刊名：Sādhanā
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：42
• 期：1
• 页码：45-61
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Engineering, general;
• 出版者：Springer India
• ISSN：0973-7677
• 卷排序：42

文摘

This paper proposes a new technique based on Galerkin method for solving nth order fuzzy boundary value problem. The proposed method has been illustrated by considering three different cases depending upon the sign of coefficients with benchmark example problems. To show the applicability of the proposed method, an application problem related to heat conduction has also been studied. The results obtained by the proposed methods are compared with the exact solution and other existing methods for demonstrating the validity and efficiency of the present method.