In this paper we consider linear Volterra Integral Equations (VIEs) whose solution depends on a space variable, via a map transformation. We investigate on the basic qualitative properties of this kind of equation, and introduce a numerical method based on direct quadrature along time and interpolation for space. For this method we study the convergence and we show its performances on some test examples
Numerical treatment of a Volterra Integral Equation with Space Maps
ANNUNZIATO, Mario;
2010-01-01
Abstract
In this paper we consider linear Volterra Integral Equations (VIEs) whose solution depends on a space variable, via a map transformation. We investigate on the basic qualitative properties of this kind of equation, and introduce a numerical method based on direct quadrature along time and interpolation for space. For this method we study the convergence and we show its performances on some test examplesFile in questo prodotto:
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