In this paper, we consider the second kind of Nonlinear Volterra integral equation with a highly oscillatory kernel. An exact Collocation method is constructed and then the oscillatory integrals in the exact collocation are discretized by a Filon type method. We analyze the convergence of the method based on some lemmas and theorems. In the last, the efficiency of the proposed methods is numerically and analytically analyzed.
Collocation methods for nonlinear Volterra integral equations with oscillatory kernel
Conte, Dajana;Moradi, Leila
;Paternoster Beatrice
2022
Abstract
In this paper, we consider the second kind of Nonlinear Volterra integral equation with a highly oscillatory kernel. An exact Collocation method is constructed and then the oscillatory integrals in the exact collocation are discretized by a Filon type method. We analyze the convergence of the method based on some lemmas and theorems. In the last, the efficiency of the proposed methods is numerically and analytically analyzed.File in questo prodotto:
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