Numerical treatment of a Volterra integral equation with space maps

被引：4

作者：

Annunziato, Mario ^{[1
]}

Messina, Eleonora ^{[2
]}

机构：

[1] Univ Salerno, Dipartimento Matemat & Informat, I-84084 Fisciano, SA, Italy

[2] Univ Naples Federico II, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

来源：

APPLIED NUMERICAL MATHEMATICS | 2010年 / 60卷 / 08期

关键词：

Volterra integral equation; Space map; PIECEWISE DETERMINISTIC PROCESSES; FINITE-DIFFERENCE METHOD; COLLOCATION METHODS;

D O I：

10.1016/j.apnum.2010.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：809 / 815

页数：7

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