A Second-Order Time Discretization for Second Kind Volterra Integral Equations with Non-Smooth Solutions

A Second-Order Time Discretization for Second Kind Volterra Integral Equations with Non-Smooth Solutions

In this paper, a novel second-order method based on a change of variable and the symmetrical and repeated quadrature formula is presented for numerical solving second kind Volterra integral equations with non-smooth solutions. Applying the discrete Grönwall inequality with weak singularity, the conv...

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Bibliographic Details
Main Authors: Boya Zhou, Xiujun Cheng
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
Subjects:
volterra equations
weakly singular kernels
a discrete Grönwall inequality
change of variable
error analysis
Online Access:https://www.mdpi.com/2227-7390/11/12/2594

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