Title of article
Direct method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions
Author/Authors
Poorfattah, Elnaz Department of Mathematics - Ardabil Science and Research Branch Islamic Azad University, Ardabil , Jafari Shaerlar, Akbar Department of Mathematics - Ardabil Science and Research Branch Islamic Azad University, Ardabil
Pages
6
From page
418
To page
423
Abstract
In this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm 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-Fredholm 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-Fredholm integro-differential equations , Two-dimensional block-pulse functions , Operational matrix
Serial Year
2015
Record number
2493149
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