标题： 一种随机游走算法中罗宾边界条件的二阶格式 显示英文标题

标题： A second order scheme for a Robin boundary condition in random walk algorithms

摘要： 随机游走（RW）是用于建模对流扩散方程的常见数值工具。 在本工作中，我们开发了一个二阶格式，用于在RW模型中包含非均匀反应（即Robin边界条件）。 此外，我们将该方法应用于两个测试案例。 我们将二阶格式与一阶格式以及解析解和其他数值解进行比较。 我们表明，与一阶格式相比，新格式可以显著减少计算误差。 这种减少不需要额外的计算成本。 显示英文摘要

摘要： Random Walk (RW) is a common numerical tool for modeling the Advection-Diffusion equation. In this work, we develop a second order scheme for incorporating a heterogeneous reaction (i.e., a Robin boundary condition) in the RW model. In addition, we apply the approach in two test cases. We compare the second order scheme with the first order one as well as with analytical and other numerical solution. We show that the new scheme can reduce the computational error significantly, relative to the first order scheme. This reduction comes at no additional computational cost.