Solution of Nonlinear Volterra-Fredholm Integrodifferential Equations via Hybrid of Block-Pulse Functions and Lagrange Interpolating Polynomials. (10th December 2012)

• Record Type: Journal Article
• Authors: Marzban, Hamid Reza; Hoseini, Sayyed Mohammad
• Other Names: Bermudez De Castro Alfredo Academic Editor.
• Is Part Of: Advances in numerical analysis. Volume 2012(2012)
• Publication Date: 2012-12-10
• Subjects: Numerical analysis -- Periodicals; Numerical analysis; Periodicals; Electronic journals; 518
• DOI: 10.1155/2012/868279
• Languages: English
• ISSNs: 1687-9562

Abstract

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.