Abstract
In this article, our study deals with the existence and the uniqueness of the solution of a second degree integro-differential nonlinear Volterra equation with a weakly singular kernel, i.e., the solution depends on its speed (first derivative) and its acceleration (second derivative); whereas using Nyström method and product integration method with piecewise projection, we approximate this solution.
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Communicated by Hui Liang.
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Ghiat, M., Guebbai, H., Kurulay, M. et al. On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term. Comp. Appl. Math. 39, 206 (2020). https://doi.org/10.1007/s40314-020-01235-2
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DOI: https://doi.org/10.1007/s40314-020-01235-2