Two new regularization methods for solving sideways heat equation

DOI10.1186/S13660-015-0564-0zbMath1327.35128OpenAlexW2118567206WikidataQ59425408 ScholiaQ59425408MaRDI QIDQ2261998

Nguyen Huy Tuan, Vu Cam Hoan Luu

Publication date: 16 March 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0564-0

zbMATH Keywords

error estimatesCauchy problemill-posed problemsideways heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Linear operators and ill-posed problems, regularization (47A52)

Related Items (2)

A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation ⋮ Iteration regularization method for a sideways problem of time-fractional diffusion equation

Cites Work

• A quasi-reversibility regularization method for an inverse heat conduction problem without initial data
• Fourier regularization method of a sideways heat equation for determining surface heat flux
• Central difference method of a nonstandard inverse heat conduction problem for determining surface heat flux from interior observations
• A modified method for determining the surface heat flux of IHCP
• Iteration methods on sideways parabolic equations
• Approximations for a Cauchy problem for the heat equation
• Solving the sideways heat equation by a wavelet - Galerkin method
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• An introduction to the mathematical theory of inverse problems

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