Lattice Boltzmann Simulation of Spatial Fractional Convection–Diffusion Equation-Reference-Cited by-同舟云学术

Lattice Boltzmann Simulation of Spatial Fractional Convection–Diffusion Equation

Published:2024-09-07 Issue:9 Volume:26 Page:768
ISSN:1099-4300
Container-title:Entropy
language:en
Short-container-title:Entropy

Author:

Bi Xiaohua¹,Wang Huimin²^ORCID

Affiliation:

1. School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang 065000, China

2. College of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, China

Abstract

The space fractional advection–diffusion equation is a crucial type of fractional partial differential equation, widely used for its ability to more accurately describe natural phenomena. Due to the complexity of analytical approaches, this paper focuses on its numerical investigation. A lattice Boltzmann model for the spatial fractional convection–diffusion equation is developed, and an error analysis is carried out. The spatial fractional convection–diffusion equation is solved for several examples. The validity of the model is confirmed by comparing its numerical solutions with those obtained from other methods The results demonstrate that the lattice Boltzmann method is an effective tool for solving the space fractional convection–diffusion equation.

Funder

Jilin Provincial Natural Science Foundation of China

Project of Education Department of Jilin Province of China

Publisher

MDPI AG

Link

https://www.mdpi.com/1099-4300/26/9/768/pdf

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