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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Bibliographic Details
Published in:Fixed point theory and applications (Hindawi Publishing Corporation) 2010-01, Vol.2010 (1), Article 470149
Main Authors: Berenguer, MI, Garralda-Guillem, AI, Ruiz Galán, M
Format: Article
Language:English
Subjects:
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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Summary: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