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.
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.
出处
《福州大学学报（自然科学版）》
CAS
北大核心
2015年第1期21-27,共7页
Journal of Fuzhou University(Natural Science Edition)
基金
国家自然科学基金资助项目(11126330)
福建省自然科学基金资助项目(2011J05005)
华侨大学中青年教师科研提升计划资助项目(ZQN-PY201)
关键词
四阶微积分方程
有限元逼近
迭代算法
误差分析
fourth-order integro-differential equation
finite element approximation
iterative algorithm
error estimate
