• 论文 •

### 四阶分数阶扩散波动方程的两网格混合元快速算法

1. 1. 内蒙古财经大学统计与数学学院, 呼和浩特 010070;
2. 内蒙古大学数学科学学院, 呼和浩特 010021
• 收稿日期:2021-01-29 出版日期:2022-11-14 发布日期:2022-11-08
• 通讯作者: 刘洋,Email:mathliuyang@imu.edu.cn.
• 基金资助:
国家自然科学基金项目（12061053，12161063），内蒙古自然科学基金项目（2021MS01018，2022LHMS01004），内蒙古自治区高校创新团队项目（NMGIRT2207），“草原英才”工程青年创新创业人才项目资助.

Wang Jinfeng, Yin Baoli, Liu Yang, Li Hong. A FAST TWO-GRID MIXED ELEMENT METHOD FOR A FOURTH-ORDER FRACTIONAL DIFFUSION-WAVE EQUATION[J]. Mathematica Numerica Sinica, 2022, 44(4): 496-507.

### A FAST TWO-GRID MIXED ELEMENT METHOD FOR A FOURTH-ORDER FRACTIONAL DIFFUSION-WAVE EQUATION

Wang Jinfeng1, Yin Baoli2, Liu Yang2, Li Hong2

1. 1. School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China;
2. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
• Received:2021-01-29 Online:2022-11-14 Published:2022-11-08

In this paper, a two-grid mixed element algorithm is proposed to solve a fourth-order fractional diffusion-wave model. The stability of the studied two-grid mixed element algorithm is proven, and the optimal a priori error estimates in L2-norm for three unknown functions are derived. Finally, the numerical results are calculated to verify the efficiency of the algorithm and the correctness of the theory results.

MR(2010)主题分类:

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