Solving a class of auto-convolution Volterra integral equations via differential transform method

Document Type : Research Article

Authors

1 Department of Mathematics, Faculty of Science, Shahed University, Tehran, Iran

2 Department of Applied Mathematics, University of Tbariz, Tabriz

3 Department of Mathematics, Van Yuzuncu Yil University, Van, Turkey

Abstract

The aim of this paper is to solve a class of  auto-convolution Volterra integral equations by the well-known differential transform method. The analytic property of solution and convergence of the method under some assumptions are discussed and some illustrative examples are given to clarify the theoretical results, accuracy and performance of the proposed method.

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