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

Jingjun Zhao, Teng Long & Yang Xu

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

Published online: 2019-01

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  • 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.

  • Keywords

Multistep collocation method Volterra integral equation weakly singular kernel

  • AMS Subject Headings

65L20

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COPYRIGHT: © Global Science Press

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