On the convergence rate of collocation methods for Volterra integral equations with weakly singular oscillatory trigonometric kernels

On the convergence rate of collocation methods for Volterra integral equations with weakly singular oscillatory trigonometric kernels

This paper presents efficient collocation methods for linear Volterra integral equations with weakly singular highly oscillatory kernels. The numerical steepest descent method and generalized Gauss–Laguerre rule are utilized to calculate the weakly singular oscillatory integrals, which is the main c...

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Bibliographic Details
Main Authors: Qinghua Wu, Mengjun Sun
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Results in Applied Mathematics
Subjects:
Volterra integral equation
Oscillatory kernel
Generalized Gauss–Laguerre rule
Weak singularity
Collocation methods
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037422000759

Internet

http://www.sciencedirect.com/science/article/pii/S2590037422000759

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