Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind

Berenguer Maldonado, María Isabel; Gámez, Domingo; Garralda Guillén, Ana Isabel; Ruiz Galán, Manuel; Serrano Pérez, Carmen

doi:10.1155/2009/149367

Berenguer_LinearVolterraIntegralEquation.pdf (1.772Mb)

Identificadores

URI: http://hdl.handle.net/10481/31368

DOI: 10.1155/2009/149367

ISSN: 1085-3375

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Editorial

Hindawi Publishing Corporation

Materia

Initial value problems

Schauder bases

Mathematics

Date

2009

Referencia bibliográfica

Berenguer, M.I.; et al. Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind. Abstract and Applied Analysis, 2009: 149367 (2009). [http://hdl.handle.net/10481/31368]

Sponsorship

This Research is Partially supported by M.E.C. (Spain) and FEDER project no. MTM2006-12533, and by Junta de Andalcía Grant FQM359.

Abstract

In this work we use analytical tools—Schauder bases and Geometric Series theorem—in order to develop a new method for the numerical resolution of the linear Volterra integral equation of the second kind.

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