Solution of nonlinear Volterra-Fredholm integrodifferential equations via hybrid of block-pulse functions and Lagrange interpolating polynomials
type: Item
instance of: scholarly article
title: Solution of nonlinear Volterra-Fredholm integrodifferential equations via hybrid of block-pulse functions and Lagrange interpolating polynomials
zbMATH Open document ID: 1268.65168
DOI: 10.1155/2012/868279
author: S. M. Hoseini
author: H. R. Marzban
published in: Advances in Numerical Analysis
publication date: 2013-06-07T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 6171661
zbMATH Keywords: numerical examples
zbMATH Keywords: high-order nonlinear Volterra-Fredholm integro-differential equations
zbMATH Keywords: block-pulse functions
zbMATH Keywords: Lagrange interpolating polynomials
Wikidata QID: Q58698681
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/868279
OpenAlex ID: W2118316986
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description: scientific article; zbMATH DE number 6171661