【摘要】 基于Nystom方法的定义,利用积分中值定理下的Nystrom方法来解决线性的二维第二类Fredholm积分方程,从而得到积分方程的近似解,并且还对所得的近似解作了相应的误差估计和收敛性分析.最后,给出了一些相应的数值算例,将数值解与解析解相比较,表明了该方法的可行性和有效性.更多还原

【Abstract】 Based on the definition of Nystrom method,in this paper we use a new Nystyom method under the integral mean value theorem to solve the two-dimendion linear second kind Fredholm integral equation,and get its approximate solution.We also give the corresponding error estimation and convergence analysis for the approximate solution.Finally,a corresponding numerical example is given to show the feasibility and effectiveness of this method.更多还原