Title of article
Solving nonlinear two-dimensional Volterra integro-differential equations by block-pulse functions
Author/Authors
Aghazadeh, Nasser azarbaijan shahid madani university - Research Group of Processing and Communication and Department of Applied Mathematics, تبريز, ايران , Khajehnasiri, Amir Ahmad payame noor university - Department of Mathematics, تهران, ايران
From page
1
To page
6
Abstract
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.
Keywords
Nonlinear equations , Two , dimensional Volterra integro , differential equations , Two , dimensionalblock , pulse functions , Operational matrix
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2569065
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