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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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
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Abstract 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.
AbstractList 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.
Author Hoseini, Sayyed Mohammad
Marzban, Hamid Reza
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Cites_doi 10.1016/S0168-9274(97)00021-4
10.1016/S0096-3003(03)00152-8
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Copyright Copyright © 2012 Hamid Reza Marzban and Sayyed Mohammad Hoseini.
Copyright © 2012 Hamid Reza Marzban and Sayyed Mohammad Hoseini. Hamid Reza Marzban et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright_xml – notice: Copyright © 2012 Hamid Reza Marzban and Sayyed Mohammad Hoseini.
– notice: Copyright © 2012 Hamid Reza Marzban and Sayyed Mohammad Hoseini. Hamid Reza Marzban et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Title Solution of Nonlinear Volterra-Fredholm Integrodifferential Equations via Hybrid of Block-Pulse Functions and Lagrange Interpolating Polynomials
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