An investigation of space distributed-order models for simulating anomalous transport in a binary medium

作者：

Highlights：

• A homogeneous space distributed-order model with Beta distribution weight is proposed.

• An a priori estimate based on the L2 norm is presented.

• An analytical solution to the space distributed-order model in terms of Kummer’s confluent hypergeometric function is derived.

• A 1D two-layered problem involving the fractional Laplacian operator and space distributed-order operator is developed.

摘要

•A homogeneous space distributed-order model with Beta distribution weight is proposed.•An a priori estimate based on the L2 norm is presented.•An analytical solution to the space distributed-order model in terms of Kummer’s confluent hypergeometric function is derived.•A 1D two-layered problem involving the fractional Laplacian operator and space distributed-order operator is developed.

论文关键词：Finite volume method,Fractional laplacian,Distributed-order model,Two-layered problems,Semi-analytical solution,Beta distribution

论文评审过程：Received 13 January 2022, Revised 19 May 2022, Accepted 17 July 2022, Available online 29 July 2022, Version of Record 29 July 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127423