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Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Power Series

Ali Tahmasbi, Omid Solaymani Fard

Open publisher page 4 citations

Abstract

Abstract. In this paper, we present a recursive method for solving nonlinear Volterra integral equations. The proposed method obtains Taylor expansion of the exact solution of Volterra integral equation by using simple computations. Comparison with other methods proves that the proposed method is very effective and convenient.

About this research paper

What this paper is about

Abstract. In this paper, we present a recursive method for solving nonlinear Volterra integral equations. The proposed method obtains Taylor expansion of the exact solution of Volterra integral equation by using simple computations. Comparison with other methods proves that the proposed method is very effective and convenient.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract. In this paper, we present a recursive method for solving nonlinear Volterra integral equations. The proposed method obtains Taylor expansion of the exact solution of Volterra integral equation by using simple computations. Comparison with other methods proves that the proposed method is very effective and convenient.

Key concepts: Volterra integral equation, Power series, Mathematics, Integral equation, Nonlinear system, Simple (philosophy), Taylor series, Volterra series

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