The numerical analysis on a Volterra equation with asymptotically periodic solution

摘要

We consider order one operational quadrature methods on a certain integro-differential equation of Volterra type on (0,∞), with piecewise linear convolution kernels. The forms of discretization solution are patterned after a continuous one of Hannsgen (1979) [2]. An l1 remainder stability and an error bound are derived.