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Yayın Numerical solution of the two dimensional nonlinear Volterra İntegro-Differential equations with separable Kernels by the Differential Transform Method(Maltepe Üniversitesi, 2009) Tari, A.; Shahmorad, S.In this paper, we will develop the two dimensional differential transform method (DTM) for solving a class of the two dimensional linear and nonlinear Volterra integro-differential equations of the second kind. To this end we give some preliminary results of the differential transform and describe the method of this paper. We also give some examples to demonstrate accuracy of the presented method.Yayın Numerical solution of two dimensional linear Volterra İntegral Equations of the second kind by the Tau Method with an Error Estimation(Maltepe Üniversitesi, 2009) Tari, A.; Shahmorad, S.In this paper, a general form of numerical approximate solution of two dimensional linear Volterra integral equations of the second kind, which here in later TDLVIE, is discussed. It is formulated for using the operational Tau method with standard base to convert the integral part of given integral equation, to its matrix representation. A brief introduction of developments of the Tau method is given in section 1, existence and uniqueness of solution of TDLVIE is discussed in section 2, converting TDLVIE to a system of linear algebraic equations has been done in section 3 and in section 4 some numerical examples are given to demonstrate efficiency and accuracy of the presented method.
