Volume 9, Issue 1
Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels

Jingjun Zhao ,  Teng Long and Yang Xu

10.4208/eajam.030118.070518

East. Asia. J. Appl. Math., 9 (2019), pp. 67-86.

Full Article 141 184
  • Abstract

A multistep collocation method on uniform grids for weakly singular Volterra integral equations is considered. The initial integral equation is modified by a smoothing transformation and then solved by a multistep collocation method on a uniform grid. Convergence and linear stability are also studied. Numerical results demonstrate the efficiency of the method.

  • History

Published online: 2019-01

  • AMS Subject Headings

65L20

  • Cited by