Fully Discrete Collocation Method for Weakly Singular Integral Equations
نویسنده
چکیده
Abstract. To find the approximate solutions of a weakly singular integral equation by the collocation method it is necessary to solve linear systems whose coefficients are expressed as integrals. These integrals cannot usually be computed exactly. We get the fully discrete collocation method when we approximate the integrals by quadrature formulas on nonuniform grid. In this paper an appropriate grid is formed and the dependence of the convergence rate of this method on the choice of the grid is studied.
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تاریخ انتشار 2001