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
收藏
页码：45 / 61
页数：17
相关论文
共 50 条
  • [1] Numerical solution of fuzzy boundary value problems using Galerkin method
    Smita Tapaswini
    S Chakraverty
    Juan J Nieto
    Sādhanā, 2017, 42 : 45 - 61
  • [2] NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD USING BOUBAKER WAVELET
    Angad, L. M.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 : 145 - 153
  • [3] GALERKIN METHODS FOR NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS
    CAVENDISH, JC
    PRICE, HS
    VARGA, RS
    SOCIETY OF PETROLEUM ENGINEERS JOURNAL, 1969, 9 (02): : 204 - +
  • [4] A Novel Numerical Method for Fuzzy Boundary Value Problems
    Can, E.
    Bayrak, M. A.
    Hicdurmaz, B.
    INTERNATIONAL PHYSICS CONFERENCE AT THE ANATOLIAN PEAK (IPCAP2016), 2016, 707
  • [5] Numerical solution for solving special eighth-order linear boundary value problems using Legendre Galerkin method
    Elahi Z.
    Akram G.
    Siddiqi S.S.
    Mathematical Sciences, 2016, 10 (4) : 201 - 209
  • [6] SINC-GALERKIN METHOD OF SOLUTION OF BOUNDARY-VALUE PROBLEMS
    STENGER, F
    MATHEMATICS OF COMPUTATION, 1979, 33 (145) : 85 - 109
  • [7] Numerical Solution of Eighth Order Boundary Value Problems by Galerkin Method with Septic B-splines
    Ballem, Sreenivasulu
    Viswanadham, K. N. S. Kasi
    INTERNATIONAL CONFERENCE ON COMPUTATIONAL HEAT AND MASS TRANSFER (ICCHMT) - 2015, 2015, 127 : 1370 - 1377
  • [8] A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
    Vampa, Victoria
    Martin, Maria T.
    Serrano, Eduardo
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3355 - 3367
  • [9] A Sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems
    Esmail Babolian
    Ali Eftekhari
    Abbas Saadatmandi
    Computational and Applied Mathematics, 2015, 34 : 45 - 63
  • [10] A Sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems
    Babolian, Esmail
    Eftekhari, Ali
    Saadatmandi, Abbas
    COMPUTATIONAL & APPLIED MATHEMATICS, 2015, 34 (01): : 45 - 63
12345