Two regularization methods and the order optimal error estimates for a sideways parabolic equation

DOI10.1016/j.camwa.2004.08.012zbMath1077.80005OpenAlexW2017133486MaRDI QIDQ2485508

Chu-Li Fu, Peng Fu, Hong-Fang Li, Xiang-Tuan Xiong

Publication date: 5 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.08.012

zbMATH Keywords

Fourier analysisregularization methodssideways advection-diffusion problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems in thermodynamics and heat transfer (80A23) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (8)

Spectral regularization method for a Cauchy problem of the time fractional advection-dispersion equation ⋮ The inverse source problem for time-fractional diffusion equation: stability analysis and regularization ⋮ Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients -- forward collocation with finite integration method ⋮ Spectral regularization method for the time fractional inverse advection-dispersion equation ⋮ Numerical pseudodifferential operator and Fourier regularization ⋮ Spectral regularization method for solving a time-fractional inverse diffusion problem ⋮ Numerical algorithms for a sideways parabolic problem with variable coefficients ⋮ Fourier regularization method for solving the surface heat flux from interior observations

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