An Approximation Method to Compute Highly Oscillatory Singular Fredholm Integro-Differential Equations

An Approximation Method to Compute Highly Oscillatory Singular Fredholm Integro-Differential Equations

This paper appertains the presentation of a Clenshaw–Curtis rule to evaluate highly oscillatory Fredholm integro-differential equations (FIDEs) with Cauchy and weak singularities. To calculate the singular integral, the unknown function approximated by an interpolation polynomial is rewritten as a T...

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Bibliographic Details
Main Authors: SAIRA, Wen-Xiu Ma
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Mathematics
Subjects:
Clenshaw–Curtis rule
highly oscillatory integrals
Taylor series
weak singularities
Cauchy singularity
collocation method
Online Access:https://www.mdpi.com/2227-7390/10/19/3628

Internet

https://www.mdpi.com/2227-7390/10/19/3628

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