Annals of Mathematical Sciences and Applications

Volume 9 (2024)

Number 2

Three diffusion-wave models with fractional operators for image denoising

Pages: 439 – 463

DOI: https://dx.doi.org/10.4310/AMSA.2024.v9.n2.a6

Authors

Jie Xiao (Department of Mathematics and Statistics, Memorial University, St. John’s, Newfoundland, Canada)

Chengjun Yue (Department of Mathematics and Statistics, Memorial University, St. John’s, Newfoundland, Canada)

Abstract

In this paper, we propose three diffusion-wave equations with Riesz potential and fractional Laplacian for image denoising. Classical solutions and numerical experiments are given.

Keywords

image denoising, diffusion-wave equation, Riesz potential, fractional Laplacian

2010 Mathematics Subject Classification

Primary 35M13, 68U10. Secondary 65N06.

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This project is supported by NSERC of Canada (#202979) and MUN’s SBMFund (#20210371).

Received 18 August 2023

Accepted 7 September 2023

Published 15 August 2024