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
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
