Direct method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions
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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
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Journal title
volume 4 issue 1
pages 418- 423
publication date 2015-02-01
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