Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation

This paper deals with obtaining a numerical method in order to approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of functions which approximate the solution of this type of equation, due to some properties of cer...

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Veröffentlicht in:	Fixed point theory and applications (Hindawi Publishing Corporation) 2010-01, Vol.2010 (1), Article 470149
Hauptverfasser:	Berenguer, MI, Garralda-Guillem, AI, Ruiz Galán, M
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Approximation Banach space Differential Geometry Mathematical analysis Mathematical and Computational Biology Mathematical models Mathematics Mathematics and Statistics Nonlinearity Numerical analysis Research Article Topology
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Beschreibung
Zusammenfassung:	This paper deals with obtaining a numerical method in order to approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of functions which approximate the solution of this type of equation, due to some properties of certain biorthogonal systems for the Banach spaces and .
ISSN:	1687-1812 1687-1820 1687-1812
DOI:	10.1155/2010/470149