A NOVEL BOX-TYPE SCHEME FOR VARIABLE COEFFICIENT FRACTIONAL SUB-DIFFUSION EQUATION UNDER NEUMANN BOUNDARY CONDITIONS

被引：0

作者：

Zhang, Pu ^{[1
]}

Cao, Lili ^{[1
]}

机构：

[1] School of Medical Inform and Engineering, Xuzhou Medical University, Jiangsu, Xuzhou, China

来源：

Thermal Science | 2024年 / 28卷 / 04期

关键词：

Boundary conditions - Diffusion - Linear equations - Numerical methods;

D O I：

10.2298/TSCI2404435Z

中图分类号：

学科分类号：

摘要：

In this paper, a novel box-type scheme with convergence order O(τ3–α + h2) is constructed for the fractional sub-diffusion equation with spatially variable coefficient under Neumann boundary conditions. Using L2 formula and the energy method, stability of the scheme are proved. A numerical example is carried out and the result meets with the theoretical analysis. © (2024), (Serbian Society of Heat Transfer Engineers). All rights reserved.

引用

页码：3435 / 3441

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