论文标题
在赤道节点上的Volterra积分方程的数值解上
On the numerical solution of Volterra integral equations on equispaced nodes
论文作者
论文摘要
在本文中，引入和研究了用于第二种Volterra积分方程的Nystrom型方法。该方法利用了广义的伯恩斯坦多项式，定义为连续函数，并基于均等点。在连续函数的空间中研究了稳定性和收敛性，一些数值测试说明了所提出的方法的性能。
In the present paper, a Nystrom-type method for second kind Volterra integral equations is introduced and studied. The method makes use of generalized Bernstein polynomials, defined for continuous functions and based on equally spaced points. Stability and convergence are studied in the space of continuous functions, and some numerical tests illustrate the performance of the proposed approach.
