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:
international journal of information, security and systems managementPublisher: islamic azad university e-branch
ISSN 2251-9335
volume 4
issue 1 2015
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