The Finite Volume Element Method for Time Fractional Generalized Burgers' Equation

被引：0

作者：

Zhang, Jingru ^{[1
]}

Yang, Qing ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Peoples R China

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 01期

基金：

美国国家科学基金会;

关键词：

finite volume element method; time fractional generalized Burgers' equation; convergence; numerical simulation; DIFFERENCE SCHEME; STABILITY; CONVERGENCE;

D O I：

10.3390/fractalfract8010053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the finite volume element method (FVEM) to approximate a one-dimensional, time fractional generalized Burgers' equation. We construct the fully discrete finite volume element scheme for this equation by approximating the time fractional derivative term by the L1 formula and approximating the spatial terms using FVEM. The convergence of the scheme is proven. Finally, numerical examples are provided to confirm the scheme's validity.

引用

页数：17

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