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

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Tari Abolfazl; Shahmorad Sedaghat; Mostafazadeh Mahdi; Erdogan Fevzi

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL MODELING Year:2025 | Volume:13 | Issue:2 Page(s): 485-496

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Information Journal Paper

Title

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

Author(s)

Tari Abolfazl | Shahmorad Sedaghat | Mostafazadeh Mahdi | Erdogan Fevzi | Issue Writer Certificate

Keywords

Volterra integral equations

Auto-convolution

Differential transform method

Analytic function

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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