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An adaptive method for Volterra–Fredholm integral equations on the half line

✍ Scribed by A. Cardone; E. Messina; A. Vecchio

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
705 KB
Volume
228
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper we develop a direct quadrature method for solving Volterra-Fredholm integral equations on an unbounded spatial domain. These problems, when related to some important physical and biological phenomena, are characterized by kernels that present variable peaks along space. The method we propose is adaptive in the sense that the number of spatial nodes of the quadrature formula varies with the position of the peaks. The convergence of the method is studied and its performances are illustrated by means of a few significative examples. The parallel algorithm which implements the method and its performances are described.

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