A Nyström interpolant for some weakly singular linear Volterra integral equations

Meshless methods for multivariate highly oscillatory Fredholm integral equations

“…Integral equations arise in the field of engineering and physics [1][2][3][4]. Initial and boundary value problems can be converted to Volterra or Fredholm integral equations.…”

Convergence analysis of spectral collocation methods for a class of weakly singular Volterra integral equations

“…In [11] the approximate solution of (1.2) was obtained by the optimal homotopy asymptotic method. In [1] Baratella derived a Nyström type interpolant of the solution based on Gauss-Radau nodes for solving (1.1).…”

The exact solution of a class of Volterra integral equation with weakly singular kernel

“…And several methods for this difficult topic are presented, e.g. Nyström interpolant method [8], extrapolation methods [9], graded mesh method [10].…”