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Chelyshkov polynomials strategy for solving 2-dimensional nonlinear Volterra integral equations of the first kind

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Abstract

In this article, we create an effective technique fundamental on 2-dimensional Chelyshkov polynomials (2D-CPs) to expand an estimate solution of a type of 2-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the primary type. This problem is changed to a 2D-NVIE of the 2 type and the technique transforms the integral equation to a system of nonlinear algebraic equations via implies of collocation points. At last, some numerical examples are given to clarify the efficiency of the presented strategy.

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Acknowledgements

We are cognizant of the specialists and the overseer for the impeccable explanation of the document and for their observation and proposals, which are redesigned the creation.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

    A. M. S. Mahdy, D. Shokry & Kh. Lotfy

  2. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    A. M. S. Mahdy

  3. Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia

    Kh. Lotfy

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  1. A. M. S. Mahdy
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  2. D. Shokry
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  3. Kh. Lotfy
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We designed the survey, advanced the technique, completed the analysis, and wrote the article. We are reading and are cognizant of the final article.

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Correspondence to A. M. S. Mahdy.

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Communicated by Hui Liang.

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Mahdy, A.M.S., Shokry, D. & Lotfy, K. Chelyshkov polynomials strategy for solving 2-dimensional nonlinear Volterra integral equations of the first kind. Comp. Appl. Math. 41, 257 (2022). https://doi.org/10.1007/s40314-022-01966-4

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  • DOI: https://doi.org/10.1007/s40314-022-01966-4

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