Superconvergence in the maximum norm of a class of piecewise polynomial collocation methods for solving linear weakly singular Volterra integro-differential equations
The authors use a piecewise polynomial collocation method on graded grids for solving linear weakly singular integro-differential equations of the Volterra type. It is proved that a careful choice of the collocation parameters improves the convergence rate of the method. Moreover, the error estimates for all values of the nonuniformity parameter of the grid are obtained.
linear weakly singular Volterra integro-differential equations
scientific article; zbMATH DE number 2114500