Cubic Spline Approximation for Weakly Singular Integral Models - Applied Mathematics

AM > Vol.4 No.11, November 2013

Cubic Spline Approximation for Weakly Singular Integral Models ()

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DOI: 10.4236/am.2013.411211 3,505 Downloads 5,469 Views Citations

Author(s)

Franca Caliò, Elena Marchetti

Affiliation(s)

Dipartimento di Matematica, Politecnico di Milano, Milano, Italy.

ABSTRACT

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 to tackle on problems with weakly regular solutions. We analyse the convergence problems and we present some numerical results and comparisons to confirm the efficiency of the numerical model.

KEYWORDS

Volterra-Fredholm Integral Equations; Collocation Methods; Splines

Share and Cite:

Caliò, F. and Marchetti, E. (2013) Cubic Spline Approximation for Weakly Singular Integral Models. Applied Mathematics, 4, 1563-1567. doi: 10.4236/am.2013.411211.

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