TY - JOUR
T1 - Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 67
EP - 86
PY - 2019
DA - 2019/01
SN - 9
DO - http://doi.org/10.4208/eajam.030118.070518
UR - https://global-sci.org/intro/article_detail/eajam/12935.html
KW - Multistep collocation method, Volterra integral equation, weakly singular kernel.
AB - <p style="text-align: justify;">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.</p>