Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method

Authors:
A. Tari;M. Y. Rahimi;S. Shahmorad;F. Talati
Affiliations:
Department of Mathematics, Shahed University, Tehran, Iran;Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran;Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran;Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this paper, we will give some results for developing the two-dimensional differential transform (TDDT) for double integrals. Then the TDDT method will be developed for solving a class of two-dimensional linear and nonlinear Volterra integral equations. We also give some examples to demonstrate the accuracy of the method.