Exponentially fitted methods applied to fourth-order boundary value problems

被引：18
|
作者：
Hollevoet, D. [1 ]
Van Daele, M. [1 ]
Berghe, G. Vanden [1 ]
机构：
[1] Univ Ghent, Vakgrp Toegepaste Wiskunde Informat, B-9000 Ghent, Belgium
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 18期
关键词：
Boundary value problems; Exponential fitting; Error term; Frequency evaluation; PLATE DEFLECTION THEORY; FINITE-DIFFERENCE METHODS; MIXED-TYPE INTERPOLATION; NUMERICAL-SOLUTION; CONVERGENCE; EQUATIONS;
D O I：
10.1016/j.cam.2011.05.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fourth-order boundary value problems are solved by means of exponentially fitted methods of different orders. These methods, which depend on a parameter, can be constructed following a six-step flow chart of Ixaru and Vanden Berghe. Special attention is paid to the expression for the error term and to the choice of the parameter in order to make the error as small as possible. Some numerical examples are given to illustrate the practical implementation issues of these methods. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：5380 / 5393
页数：14
相关论文
共 50 条
  • [1] Exponentially-Fitted Methods Applied to Fourth-Order Boundary Value Problems
    Van Daele, M.
    Hollevoet, D.
    Vanden Berghe, G.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2008, 1048 : 900 - 903
  • [2] Multiparameter Exponentially-Fitted Methods Applied to Second-Order Boundary Value Problems
    Van Daele, M.
    Hollevoet, D.
    Vanden Berghe, G.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 750 - 753
  • [3] A fourth-order symplectic exponentially fitted integrator
    Van De Vyver, H
    COMPUTER PHYSICS COMMUNICATIONS, 2006, 174 (04) : 255 - 262
  • [4] On fourth-order elliptic boundary value problems
    Pao, CV
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (04) : 1023 - 1030
  • [5] Numerical methods for fourth-order nonlinear elliptic boundary value problems
    Pao, CV
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2001, 17 (04) : 347 - 368
  • [6] Numerical methods for nonlinear fourth-order boundary value problems with applications
    Hajji, Mohamed Ali
    Al-Khaled, Kamel
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2008, 85 (01) : 83 - 104
  • [7] Comparing numerical methods for solving fourth-order boundary value problems
    Ertuerk, Vedat Suat
    Momani, Shaher
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1963 - 1968
  • [8] A fourth-order orthogonal spline collocation method to fourth-order boundary value problems
    Kumar, Bhal Santosh
    Danumjaya, P.
    Kumar, Anil
    INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2019, 20 (05): : 460 - 470
  • [9] On computational methods for solving systems of fourth-order nonlinear boundary value problems
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Waheed, Asif
    Al-Said, Eisa A.
    INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES, 2011, 6 (01): : 128 - 135
  • [10] Collocation approximation for fourth-order boundary value problems
    Taiwo, OA
    Evans, DJ
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1997, 63 (1-2) : 57 - 66
12345