We study the effect of having a reflecting boundary condition in a superdiffusive model. Firstly it is described how the problem formulation is affected by this type of physical boundary and then it is shown how to implement an implicit numerical method to compute the numerical solutions. The consistency and stability analysis of the numerical method are discussed. In the end numerical experiments are presented to show the performance of the scheme and to visualize the consequences of having a reflecting wall.

中文翻译：

---

存在反射边界的超扩散

我们研究了在超扩散模型中具有反射边界条件的影响。首先描述了问题表述如何受到这种类型的物理边界的影响，然后说明了如何实施隐式数值方法来计算数值解。讨论了数值方法的一致性和稳定性分析。最后，进行了数值实验，以显示该方案的性能并可视化具有反射墙的后果。