Numerical solution of fuzzy boundary value problems using Galerkin method

被引：5

作者：

Tapaswini, Smita ^{[1
,2
]}

Chakraverty, S. ^{[3
]}

Nieto, Juan J. ^{[4
,5
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[2] Kalinga Inst Ind Technol, Dept Math, Bhubaneswar 751024, Odisha, India

[3] Natl Inst Technol, Dept Math, Rourkela 769008, Odisha, India

[4] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[5] Univ Santiago de Compostela, Dept Math Anal, Fac Math, Santiago De Compostela 15782, Spain

来源：

SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES | 2017年 / 42卷 / 01期

关键词：

Fuzzy number; triangular fuzzy number; nth order fuzzy boundary value problems; Galerkin method;

D O I：

10.1007/s12046-016-0578-4

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：45 / 61

页数：17

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