On the convergence rate of an improved quasi-reversibility method for an inverse source problem of a nonlinear parabolic equation with nonlocal diffusion coefficient-Reference-Cited by-同舟云学术

On the convergence rate of an improved quasi-reversibility method for an inverse source problem of a nonlinear parabolic equation with nonlocal diffusion coefficient

Published:2021-11 Issue: Volume:121 Page:107491
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Wang Yuchan,Wu Bin

Funder

National Natural Science Foundation of China

Natural Science Research of Jiangsu Higher Education Institutions of China

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference9 articles.

1. Elements of Nonlinear Analysis;Chipot,2000

2. Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction;Tuan;Inverse Problems,2017

3. Analysis of a quasi-reversibility method for a terminal value quasi-linear parabolic problem with measurements;Nguyen;SIAM J. Math. Anal.,2019

4. An improved quasi-reversibility method for a terminal-boundary value multi-species model with white Gaussian noise;Tuan;J. Comput. Appl. Math.,2021

5. Determination of a term in the right-hand side of parabolic equations;Hao;J. Comput. Appl. Math.,2017

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solving two kinds of inverse source problems for the heat equations by a mollification regularization method with Dirichlet kernel;Mathematical Methods in the Applied Sciences;2024-05-29

2. An ABC algorithm based approach to solve a nonlinear inverse reaction-diffusion problem associate with the ecological invasions;COMPUT METHODS DIFFE;2023

3. An analytical solution for the advection-dispersion equation inversely in time for pollution source identification;Physics and Chemistry of the Earth, Parts A/B/C;2022-12

4. Simultaneous determination of source term and initial value in the heat conduction problem by modified quasi-reversibility regularization method;Numerical Heat Transfer, Part B: Fundamentals;2022-06-07