A fractional Tikhonov method for solving a Cauchy problem of Helmholtz equation

DOI10.1080/00036811.2016.1254776zbMath1379.65074OpenAlexW2554364487WikidataQ58133866 ScholiaQ58133866MaRDI QIDQ5350653

Xiao-Li Feng, Zhi Qian

Publication date: 1 September 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1254776

zbMATH Keywords

inverse problemnumerical examplesill-posed problemfractional Tikhonov methodfiltering ideaCauchy problem for Helmholtz equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (11)

A Tikhonov regularization method for solving a backward time-space fractional diffusion problem ⋮ A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations ⋮ Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type ⋮ On an iterative fractional Tikhonov-Landweber method for ill-posed problems ⋮ Determination of temperature distribution and thermal flux for two-dimensional inhomogeneous sideways heat equations ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation ⋮ Numerical methods for the forward and backward problems of a time-space fractional diffusion equation ⋮ A regularization framework for mildly ill-posed problems connected with pseudo-differential operator ⋮ On a weighted time-fractional asymptotical regularization method ⋮ Recovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional space ⋮ Fractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional space

This page was built for publication: A fractional Tikhonov method for solving a Cauchy problem of Helmholtz equation