Orthogonal spline collocation scheme for multiterm fractional convection-diffusion equation with variable coefficients
Orthogonal spline collocation scheme for multiterm fractional convection-diffusion equation with variable coefficients
复制标题
变系数多项分数对流扩散方程的正交样条配置格式
DOI：
10.1002/num.22213
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Da Xu
中科院分区：
文献类型：
--
作者：
Xuehua Yang;Haixiang Zhang;Da Xu
正交样条配置（OSC）技术是解决由常微分方程和偏微分方程建模的各种问题的有效方法。在空间方向上利用OSC方法，在时间方向上利用经典的L1近似，对一类二维多项变系数分数阶对流扩散反应方程建立了一个全离散格式.得到了在每个时间步上H_j（j= 0，1，2）模的最优估计.并给出了空间估计。最后，我们给出了一些数值结果来验证所提出的算法的准确性和效率。
The orthogonal spline collocation (OSC) technique is an efficient way to solve a wide variety of problems that are modeled by ordinary and partial differential equations. In this article, by using OSC method in spatial direction and classical L1 approximation in temporal direction, a fully discrete scheme is established for a class of two‐dimensional multiterm fractional convection‐diffusion reaction equation with variable coefficients. The optimal estimates inHj(j= 0, 1, 2) norms at each time step are derived. Also, estimate in space is provided. At last, we provide some numerical results to verify the accuracy and efficiency of the proposed algorithm.