Solution of Nonlinear Volterra-Fredholm Integrodifferential Equations via Hybrid of Block-Pulse Functions and Lagrange Interpolating Polynomials

An efficient hybrid method is developed to approximate the solution of the high-order nonlinear Volterra-Fredholm integro-differential equations. The properties of hybrid functions consisting of block-pulse functions and Lagrange interpolating polynomials are first presented. These properties are th...

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Bibliographic Details
Published in:Advances in Numerical Analysis Vol. 2012; no. 2012; pp. 1 - 14-013
Main Authors: Marzban, Hamid Reza, Hoseini, Sayyed Mohammad
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Subjects:
Algorithms
Heuristic
Numerical analysis
Polynomials
Studies
ISSN:1687-9562, 1687-9562
Online Access:Get full text
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Summary:An efficient hybrid method is developed to approximate the solution of the high-order nonlinear Volterra-Fredholm integro-differential equations. The properties of hybrid functions consisting of block-pulse functions and Lagrange interpolating polynomials are first presented. These properties are then used to reduce the solution of the nonlinear Volterra-Fredholm integro-differential equations to the solution of algebraic equations whose solution is much more easier than the original one. The validity and applicability of the proposed method are demonstrated through illustrative examples. The method is simple, easy to implement and yields very accurate results.
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ISSN:1687-9562
1687-9562
DOI:10.1155/2012/868279