Numerical treatment of a Volterra integral equation with space maps

• Autores: Mario Annunziato, E. Messina
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 8, 2010, págs. 809-815
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.04.007
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• Resumen

  • 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.