Iterative method and convergence analysis for a class of mixed nonlinear Volterra-Fredolm integral e

来源 :2013第十三届微分方程数值方法学术会议暨第十届仿真算法学术会议 | 被引量 : 0次 | 上传用户:randygu
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  In this paper,the iterative method is presented for numerically solving the nonlinear Volterra-Fredholm integral equation.First,considering some conditions on Ki (i = 1,2) of the integral equation,then we define the equidistance collocation points and the integral part of equation is discretized by Newton-Cotes integration formula,finally,the approximate solutions of integral equation are obtain by iterative method.The convergence analysis of the integral equation is given.Some numerical examples are given to illustrate the accuracy and dependability of the method.
其他文献
  (1) A review of B-theory of Runge-Kutta methods for stiff general VFDEs.(2) Classical stability theory of Runge-Kutta methods for non-stiff general VFDEs.(3
会议
  The implicit-explicit stochastic variational integrator is derived by the Hamiltons principle with noises for second-order stochastic differential equations
  (1)用分裂算法求解泛函微分方程。(2)用分裂算法求解抛物形微分方程。
会议
We report an atomic scale investigation of growth mechanism and direct observation of growth intermediates for CVD graphene on Cu(111) under ultrahigh vacuum co
会议
Owing to the unusual physical,optical,and electrical properties arising from the quantum confinement associated to the atomic thin layer structure,two dimension
会议
热辐射计通过将电磁辐射转换为热能,进而升高材料的温度来测量辐射功率.石墨烯由于其微弱的电声相互作用和极小的电子比热,是实现高灵敏、超快热电子辐射计的理想材料.其中最
会议
近几年来,原子力显微技术(Atomic Force Microscopy,AFM),特别是非接触式原子力显微技术(Noncontact AFM,NC-AFM),取得了快速而令人惊叹的进展,实现了包括表面原子的化学识别
会议
利用扫描隧道显微系统(STM)研究分析了金属富勒烯Gd@C82分子在Cu(111)上的吸附、取向结构及其电子态性质.对单个Gd@C82分子,通过扫描隧道谱研究发现,内嵌金属极大影响碳笼的
会议
  基于经典变分积分子的思想,我们构造了分数阶Euler-Lagrange方程的变分积分子,我们首先导出了离散分数阶Euler-Lagrange方程,然后给出了一系列分数阶变分积分子的例子,分析了
  Numerical stability of Euler-Maclaurin method is concerned for differential equations with piecewise constant arguments x(t)=ax(t)+bx(3[(t+1)/3]).The suffic
会议