Optimal error bound and a quasi-boundary value regularization method for a Cauchy problem of the modified Helmholtz equation

DOI10.1080/00207160.2015.1083555zbMath1372.35081OpenAlexW2185021247MaRDI QIDQ2958272

You-Sheng Wu, Ailin Qian, Xiao-Mei Yang

Publication date: 1 February 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1083555

zbMATH Keywords

rectangular domainquasi-boundary value methodCauchy problem for the modified Helmholtz equation

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Numerical methods for the forward and backward problems of a time-space fractional diffusion equation ⋮ Regularized solution of the Cauchy problem for the biharmonic equation

Cites Work

• The plane wave method for inverse problems associated with Helmholtz-type equations
• Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation
• An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
• A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations
• BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method
• On solving boundary value problems of modified Helmholtz equations by plane wave functions
• On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation
• Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation
• A comparison of regularizations for an ill-posed problem

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