BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions

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成果类型：

期刊论文

作者：

Wang, Ruru;Yan, Yubin;Hendy, A. S.;Qiao, Leijie

通讯作者：

Qiao, LJ

作者机构：

[Wang, Ruru] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.

[Yan, Yubin] Univ Chester, Dept Math, Chester CH1 4BJ, England.

[Hendy, A. S.] Ural Fed Univ, Inst Nat Sci & Math, Dept Computat Math & Comp Sci, 19 Mira St, Ekaterinburg 620002, Russia.

[Hendy, A. S.] Benha Univ, Fac Sci, Dept Math, Banha 13511, Egypt.

[Wang, Ruru; Qiao, Leijie] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China.

通讯机构：

[Qiao, LJ ] S

Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China.

语种：

英文

关键词：

3D fractional parabolic integro-differential;equations;Orthogonal spline collocation method;Stability and convergence;Numerical simulations

期刊：

Computers & Mathematics with Applications

ISSN：

0898-1221

年：

2024

卷：

155

页码：

126-141

DOI：

10.1016/j.camwa.2023.12.008

基金类别：

This work is supported by National Natural Science Foundation of China (12101080), National Foreign Expert Introduction Foundation (G2022004016L), Postgraduate Scientific Research Innovation Project of Hunan Province (CX20220955), Scientific Research Foundation of Hunan Provincial Education Department (21C0188). A. S. Hendy wishes to acknowledge the support of the RSF, Russia grant, project 22-21-00075.

机构署名：

本校为第一机构

院系归属：

数学与统计学院

摘要：

In this paper, we are concerned with constructing a fast and an efficient alternating direction implicit (ADI) scheme for the fractional parabolic integro-differential equations (FPIDE) with a weakly singular kernel in three dimensions (3D). Our constructed scheme is based on a second-order backward differentiation formula (BDF2) for temporal discretization, orthogonal spline collocation (OSC) method for spatial discretization and a second -order fractional quadrature rule proposed by Lubich for the Riemann-Liouville fractional integral. The stability and convergence of the constructed numeric...

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BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions

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