Direct method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions

نویسندگان

  • Akbar Jafari Shaerlar Department of Mathematics, Ardabil Science and Research Branch, Islamic Azad University, Ardabil, Iran
  • Elnaz Poorfattah Department of Mathematics, Ardabil Science and Research Branch, Islamic Azad University, Ardabil, Iran
چکیده مقاله:

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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direct method for solving nonlinear two-dimensional volterra-fredholm integro-differential equations by block-pulse functions

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عنوان ژورنال

دوره 4  شماره 1

صفحات  418- 423

تاریخ انتشار 2015-02-01

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