Work

Numerical algorithm for the model describing anomalous diffusion in expanding media

Year: 2020

Type: article

Abstract: We provide a numerical algorithm for the model characterizing anomalous diffusion in expanding media, which is derived in Le Votet al.[Phys. Rev. E96(2017) 032117]. The Sobolev regularity for the equation with variable coefficient is first established. Then we use the finite element method to discretize the Laplace operator and present error estimate of the spatial semi-discrete scheme based on the regularity of the solution; the backward Euler convolution quadrature is developed to approximate Riemann–Liouville fractional derivative and the error estimates for the fully discrete scheme are established by using the continuity of solution. Finally, the numerical experiments verify the effectiveness of the algorithm.

Source: ESAIM Mathematical Modelling and Numerical Analysis

DOI: 10.1051/m2an/2020018

Authors: Daxin Nie, Jing Sun, Weihua Deng

Institution: Lanzhou University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G3981168175