Application of cubic B-spline finite element technique to the thermistor problem

被引：11
|
作者：
Bahadir, AR [1 ]
机构：
[1] Inonu Univ, Fac Arts & Sci, Dept Math, TR-44100 Malatya, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 149卷 / 02期
关键词：
thermistor; finite elements; cubic splines;
D O I：
10.1016/S0096-3003(03)00146-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical solution to the thermistor problem is obtained using the cubic B-spline finite elements. The resulting system of ordinary differential equations is solved by the finite-difference method. Excellent agreement is obtained between the numerical results and the analytic solution for the three phases. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：379 / 387
页数：9
相关论文
共 50 条
  • [11] A quadratic trigonometric B-Spline as an alternate to cubic B-spline
    Samreen, Shamaila
    Sarfraz, Muhammad
    Mohamed, Abullah
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) : 11433 - 11443
  • [12] B-spline finite element method for the plane problem of arbitrary quadrilateral region
    Qin, Jian
    Huang, Ke-Fu
    [J]. Gongcheng Lixue/Engineering Mechanics, 2010, 27 (06): : 29 - 34
  • [13] Numerical investigation of the solutions of Schrodinger equation with exponential cubic B-spline finite element method
    Hepson, Ozlem Ersoy
    Dag, Idris
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (02) : 119 - 133
  • [14] Cubic B-spline finite element method for generalized reaction-diffusion equation with delay
    Lubo, Gemeda Tolessa
    Duressa, Gemechis File
    [J]. SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2023, 41 (02): : 256 - 265
  • [15] An Extended Cubic B-spline Finite Element Method for Solving Generalized Burgers-Fisher Equation
    Hepson, Ozlem Ersoy
    [J]. INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
  • [16] Solving Buckmaster Equation Using Cubic B-Spline And Cubic Trigonometric B-Spline Collocation Methods
    Chanthrasuwan, Maveeka
    Asri, Nur Asreenawaty Mohd
    Abd Hamid, Nur Nadiah
    Abd Majid, Ahmad
    Azmi, Amirah
    [J]. PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [17] Construction of B-spline surface from cubic B-spline asymptotic quadrilateral
    Wang, Hui
    Zhu, Chun-Gang
    Li, Cai-Yun
    [J]. JOURNAL OF ADVANCED MECHANICAL DESIGN SYSTEMS AND MANUFACTURING, 2017, 11 (04):
  • [18] Fairing of Parametric Cubic B-spline Curves and Bicubic B-spline Surfaces
    Mu Guowang
    [J]. CADDM, 1997, (02) : 11 - 18
  • [19] A Cubic B-spline Finite Element Method for Optimal Control Problem Governed by Nonlinear Parabolic Equation Describing Crystal Surface Growth
    Du, Fangfang
    Sun, Tongjun
    [J]. IAENG International Journal of Applied Mathematics, 2022, 52 (03)
  • [20] B-spline finite-element method in polar coordinates
    Li, RL
    Ni, GZ
    Yu, JH
    [J]. FINITE ELEMENTS IN ANALYSIS AND DESIGN, 1998, 28 (04) : 337 - 346
12345