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Cubic Spline Approximation for Weakly Singular Integral Models

Cubic Spline Approximation for Weakly Singular Integral Models

In this paper we propose a numerical collocation method to approximate the solution of linear integral mixed Volterra Fredholm equations of the second kind, with particular weakly singular kernels. The collocation method is based on the class of quasi-interpolatory splines on locally uniform mesh. These approximating functions are particularly suitable …