文章基本信息

标题：Solution of Nonlinear Volterra-Fredholm Integrodifferential Equations via Hybrid of Block-Pulse Functions and Lagrange Interpolating Polynomials
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作者：Hamid Reza Marzban ; Sayyed Mohammad Hoseini
期刊名称：Advances in Numerical Analysis
印刷版ISSN：1687-9562
电子版ISSN：1687-9570
出版年度：2012
卷号：2012
DOI：10.1155/2012/868279
出版社：Hindawi Publishing Corporation
摘要：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.