Solving nonlinear two-dimensional Volterra integro-differential equations by block-pulse functions

被引：26

作者：

Aghazadeh N. ^{[1
]}

Khajehnasiri A.A. ^{[2
]}

机构：

[1] Research Group of Processing and Communication and Department of Applied Mathematics, Azarbaijan Shahid Madani University, Tabriz

[2] Department of Mathematics, Payame Noor University, Tabriz

来源：

Mathematical Sciences | 2013年 / 7卷 / 1期

关键词：

Nonlinear equations; Operational matrix; Two-dimensional block-pulse functions; Two-dimensional Volterra integro-differential equations;

D O I：

10.1186/2251-7456-7-3

中图分类号：

学科分类号：

摘要：

In this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions. First, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. Then, by using this matrices, the nonlinear two-dimensional Volterra integro-differential equation has been reduced to an algebraic system. Some numerical examples are presented to illustrate the effectiveness and accuracy of the method. © 2013, Aghazadeh and Khajehnasiri; licensee Springer.

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