By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented. The fractional order operators are well suited to handle by Laplace transform and radial kernels are also built for high dimensions. The numerical computations of inverse Laplace transform are carried out by contour integration technique. The computation can be done in parallel and no time sensitivity is involved in approximating the time fractional operator as contrary to finite differences. The proposed numerical scheme is stable and accurate.

中文翻译：

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使用径向核和变换的分数阶反常次扩散问题的数值解

通过耦合径向核和局部拉普拉斯变换，提出了一种近似时间分数异常次扩散问题的数值方案。分数阶算子非常适合由拉普拉斯变换处理，径向核也适用于高维。逆拉普拉斯变换的数值计算采用等高线积分技术进行。计算可以并行进行，与有限差分相反，在逼近时间分数运算符时不涉及时间敏感性。所提出的数值方案是稳定和准确的。