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An Operational Matrix Method for Solving a Class of Nonlinear Volterra Integro-Differential Equations by Operational Matrix Method

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Abstract

In this paper, the improved Chebyshev operational matrix method is proposed to solve a class of nonlinear Volterra integro-differential equation. The main characteristic behind this approach is that it reduces such problems to ones of solving systems of algebraic equations. Some examples are included to demonstrate the validity and applicability of the this techinque. The only a small number of shifted Chebyshev polynomials is needed to obtain a satisfactory result.

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Authors and Affiliations

  1. Ula Ali KoÇman Vocational School, Muğla Sıtkı Koçman University, Muğla, Turkey

    Yalçın Öztürk

  2. Department of Mathematics, Faculty of Science, Muğla Sıtkı Koçman University, Muğla, Turkey

    Mustafa Gülsu

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  1. Yalçın Öztürk
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  2. Mustafa Gülsu
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Öztürk, Y., Gülsu, M. An Operational Matrix Method for Solving a Class of Nonlinear Volterra Integro-Differential Equations by Operational Matrix Method. Int. J. Appl. Comput. Math 3, 3279–3294 (2017). https://doi.org/10.1007/s40819-016-0300-6

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  • DOI: https://doi.org/10.1007/s40819-016-0300-6

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