一类比例延迟Volterra积分微分方程的配置法

Collocation Method for a Class of Volterra Integro-Differential Equations with Proportional Delays

研究数值求解一类比例延迟Volterra积分微分方程(DVIDE)的配置法.讨论了配置法的收敛性和整体超收敛性,并在一种弱假设条件下给出了配置法的局部超收敛性.数值实验验证了理论结果的正确性.

We studied the collocation method for numerically solving a class of delay Volterra integrodifferential equations （DVIDEs）. Uniform convergence and global superconvergence of the collocation method were discussed, and local superconvergence on the collocation points was also presented under a weak assumption. Results of the numerical experiments demonstrate our theoretical analysis.