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Solution of Nonlinear Volterra-Fredholm Integrodifferential Equations via Hybrid of Block-Pulse Functions and Lagrange Interpolating Polynomials
Joint Authors
Hoseini, Sayyed Mohammad
Marzban, Hamid Reza
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Marzban, Hamid Reza& Hoseini, Sayyed Mohammad. 2012. Solution of Nonlinear Volterra-Fredholm Integrodifferential Equations via Hybrid of Block-Pulse Functions and Lagrange Interpolating Polynomials. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-504744
Modern Language Association (MLA)
Marzban, Hamid Reza& Hoseini, Sayyed Mohammad. Solution of Nonlinear Volterra-Fredholm Integrodifferential Equations via Hybrid of Block-Pulse Functions and Lagrange Interpolating Polynomials. Advances in Numerical Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-504744
American Medical Association (AMA)
Marzban, Hamid Reza& Hoseini, Sayyed Mohammad. Solution of Nonlinear Volterra-Fredholm Integrodifferential Equations via Hybrid of Block-Pulse Functions and Lagrange Interpolating Polynomials. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-504744
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504744