Wavelet and spectral regularization methods for a sideways parabolic equation

DOI10.1016/j.amc.2003.12.007zbMath1068.65116OpenAlexW1966808463MaRDI QIDQ1764714

Xiang-Tuan Xiong, Hong-Fang Li, Chu-Li Fu, You-Bin Zhu

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.007

zbMATH Keywords

waveletIll-posed problemoptimal error boundspectral regularizationsideways parabolic equation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

Fourier regularization method of a sideways heat equation for determining surface heat flux, A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem, A Compact Filter Regularization Method for Solving Sideways Heat Equation, A quasi-reversibility regularization method for an inverse heat conduction problem without initial data, Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation, Optimal error bound in a Sobolev space of regularized approximation solutions for a sideways parabolic equation, Two regularization methods and the order optimal error estimates for a sideways parabolic equation, Central difference method of a nonstandard inverse heat conduction problem for determining surface heat flux from interior observations

Cites Work

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• Optimality for ill-posed problems under general source conditions
• Numerical solution of the sideways heat equation by difference approximation in time
• Regularization of a non-characteristic Cauchy problem for a parabolic equation