Generalized Tikhonov Method and Convergence Estimate for the Cauchy Problem of Modified Helmholtz Equation with Nonhomogeneous Dirichlet and Neumann Datum

Generalized Tikhonov Method and Convergence Estimate for the Cauchy Problem of Modified Helmholtz Equation with Nonhomogeneous Dirichlet and Neumann Datum

We investigate a Cauchy problem of the modified Helmholtz equation with nonhomogeneous Dirichlet and Neumann datum, this problem is ill-posed and some regularization techniques are required to stabilize numerical computation. We established the result of conditional stability under an a priori assum...

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Bibliographic Details
Main Authors: Hongwu Zhang, Xiaoju Zhang
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Mathematics
Subjects:
ill-posed problem
Cauchy problem
modified Helmholtz equation
generalized Tikhonov regularization method
convergence estimate
Online Access:https://www.mdpi.com/2227-7390/7/8/667

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