Block Pulse算子矩阵法求解变系数时间分数阶对流扩散方程

• 作者: 王进斌 解加全 郭蓉 马立峰
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 年，卷（期）: 2019,（4）
• 页码范围: 346-357
• 页数: 12页
• 分类号: O241.8
• 语种: 中文

摘要

The numerical technique based on two-dimensional block pulse functions (2D-BPFs) is proposed for solving the time fractional convection diffusion equations with variable coefficients(FCDEs).We introduce the block pulse operational matrices of the fractional order differentiation.Furthermore,we translate the original equation into a Sylvester equation by the proposed method.Finally,some numerical examples are given and numerical results are shown to demonstrate the accuracy and reliability of the above-mentioned algorithm.