Title of article :
Solving nonlinear two-dimensional Volterra integro-differential equations by block-pulse functions
Author/Authors :
Aghazadeh, Nasser azarbaijan shahid madani university - Department of Applied Mathematics, Research Group of Processing and Communication, تبريز, ايران , Khajehnasiri, Amir Ahmad payame noor university - Department of Mathematics, تهران, ايران
Abstract :
In this paper, an effective numerical method is introduced for the treatment of nonlinear two- dimensional Volterra 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 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 integro , differential equations , Two , dimensional block , pulse functions , Operational matrix
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
