论文标题
用征费噪声的分数保护法的操作员分裂方案的融合
Convergence of an operator splitting scheme for fractional conservation laws with Levy noise
论文作者
论文摘要
在本文中，我们关注的是通过乘法征费噪声驱动的线性分数和分数随机保护法的操作员分裂方案。更具体地说，使用经典Kruzkov的变体的变量可变方法的变体，我们表明，分裂方案产生的近似解决方案会收敛到基本问题的唯一随机熵解决方案。在本文中，收敛分析由几个数值示例进行了说明。
In this paper, we are concerned with a operator splitting scheme for linear fractional and fractional degenerate stochastic conservation laws driven by multiplicative Levy noise. More specifically, using a variant of classical Kruzkov's doubling of variable approach, we show that the approximate solutions generated by the splitting scheme converges to the unique stochastic entropy solution of the underlying problems.Finally, the convergence analysis is illustrated by several numerical examples.
