On the numerical solution of highly oscillatory Fredholm integral equations using a generalized quadrature method

In this paper, a numerical method is presented for solving Fredholm integral equations with highly oscillatory kernels. The proposed method combined piecewise collocation with a generalized quadrature rule in a uniform mesh. Due to the oscillatory nature of the kernels of integral equation, the disc...

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Bibliographic Details
Main Authors: Adil Owaid Jhaily, Saeed Sohrabi, Hamid Ranjbar
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025260
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