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$ hp $-version collocation method for a class of nonlinear Volterra integral equations of the first kind. (arXiv:1810.00730v1 [math.NA])
来源于:arXiv
In this paper, we present a collocation method for nonlinear Volterra
integral equation of the first kind. This method benefits from the idea of
$hp$-version projection methods. We provide an approximation based on the
Legendre polynomial interpolation. The convergence of the proposed method is
completely studied and an error estimate under the $L^2$-norm is provided.
Finally, several numerical experiments are presented in order to verify the
obtained theoretical results. 查看全文>>
