文章摘要
引用本文:任全伟,庄清渠.一类四阶微积分方程的有限元逼近[J].福州大学学报(自然科学版),2015,43(1):21~27
一类四阶微积分方程的有限元逼近
Finite element approximation of a class of fourth-order integro-differential equations
  
DOI:10.7631/issn.1000-2243.2015.01.0021
中文关键词: 四阶微积分方程  有限元逼近  迭代算法  误差分析
英文关键词: fourth-order integro-differential equation  finite element approximation  iterative algorithm  error estimate
基金项目:
作者单位
任全伟 上海师范大学数理学院上海 200234 
庄清渠 华侨大学数学科学学院福建 泉州 362021 
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中文摘要:
      考虑四阶微积分吊桥模型在分段线性多项式空间上的有限元逼近. 引入Newton型迭代法来处理积分项,大大提高了计算效率. 给出相应的误差分析以及数值结果来说明方法可行性和有效性.
英文摘要:
      Finite element method is proposed to approximate a class of fourth-order integro-differential equation modeling the suspension bridge. Newton type iteration method is presented to deal with the integration term,which greatly improve the computational efficiency. Moreover,error estimate of the method is developed. Numerical experiments are given to confirm the feasibility and efficiency of the method.
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