An efficient spectral method for nonlinear Volterra integro-differential equations with weakly singular kernels

For Volterra integro-differential equations (VIDEs) with weakly singular kernels, their solutions are singular at the initial time. This property brings a great challenge to traditional numerical methods. Here, we investigate the numerical approximation for the solution of the nonlinear model with...

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Bibliographic Details

Published in:	Mathematical Modelling and Analysis
Main Authors:	ZhiPeng Liu, DongYa Tao, Chao Zhang
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2024-05-01
Subjects:	spectral element method Volterra integro-differential equation weak singularity exponential convergence
Online Access:	https://tede.vgtu.lt/index.php/MMA/article/view/18354