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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