Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem

ISSN Print: 2161-1203
ISSN Online: 2161-1211
www.scirp.org/journal/ajcm
E-mail: ajcm@scirp.org

Citations

"Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem"
written by Ailin Qian, Jianfeng Mao,
published by American Journal of Computational Mathematics, Vol.1 No.3, 2011

has been cited by the following article(s):

[1]	A hybrid regularization method for identifying the source term and the initial value simultaneously for fractional pseudo-parabolic equations with involution
	2024

[2]	An analytical solution for the advection-dispersion equation inversely in time for pollution source identification
	Physics and Chemistry of the Earth …, 2022

[3]	Identify the source of pollution with an Inverse-time analytical solution to the pollution transport equation
	Hydrophysics, 2021

[4]	شناسایی منبع آلاینده با حل تحلیلی معادله انتقال آلودگی به صورت معکوس در زمان‎
	هیدروفیزیک, 2021

[5]	Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data
	2020

[6]	Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data
	2020

[7]	کاربرد روش شبه‌معکوس‌پذیری در تعیین توزیع زمانی و مکانی غلظت آلاینده به‌صورت معکوس در زمان‎
	2020

[8]	Application of the Quasi-Reversibility Method in Inverse Computation of Temporal and Spatial Pollutant Concentration in Time
	2020

[9]	Backward problem for time fractional reaction-diffusion equation with nonlinear source and discrete data
	2019

[10]	A Two Dimensional Backward Heat Problem With Statistical Discrete Data
	2016

[11]	A two-dimensional backward heat problem with statistical discrete data
	Journal of Inverse and Ill-posed Problems, 2016

[1]	Two regularization approaches for identifying the source term of time-fractional telegraph equation The Journal of Analysis, 2025 DOI:10.1007/s41478-025-00921-w

[2]	The modified Tikhonov regularization method for backward heat conduction problem with a complete parabolic equation in $${{\mathbb {R}}^{n}}$$ Numerical Algorithms, 2025 DOI:10.1007/s11075-025-02164-z

[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 DOI:10.1016/j.pce.2022.103255

[4]	Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data Journal of Computational and Applied Mathematics, 2020 DOI:10.1016/j.cam.2020.112883

[5]	Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data Chaos, Solitons & Fractals, 2020 DOI:10.1016/j.chaos.2020.109847

[6]	A two-dimensional backward heat problem with statistical discrete data Journal of Inverse and Ill-posed Problems, 2018 DOI:10.1515/jiip-2016-0038