A second order numerical method for a Volterra integro-differential equation with a weakly singular kernel

In this paper, a second finite difference method on a graded grid is proposed for a Volterra integro-differential equation with a weakly singular kernel. The proposed scheme is obtained by using the two-step backward differentiation formula (BDF2) to discretize the first derivative term and the firs...

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Veröffentlicht in:	Networks and heterogeneous media 2024, Vol.19 (2), p.740-752
Hauptverfasser:	Liu, Li-Bin, Ye, Limin, Bao, Xiaobing, Zhang, Yong
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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