A filter method for inverse nonlinear sideways heat equation

DOI10.1186/S13662-020-02601-4zbMath1482.35105OpenAlexW3032533912MaRDI QIDQ2058209

Nguyen Hoang Luc, Nguyen Huu Can, Nguyen Anh Triet, Donal O'Regan, Dumitru Baleanu

Publication date: 7 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02601-4

zbMATH Keywords

Cauchy problemerror estimatenonlinear heat equationregularization methodill-posed problembackward problem

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)

Related Items (1)

On a nonlocal problem for parabolic equation with time dependent coefficients

Cites Work

• Unnamed Item
• The general solution for impulsive differential equations with Riemann-Liouville fractional-order \(q\in (1,2)\)
• New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
• 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
• Application of the boundary element method to inverse heat conduction problems
• Extended Riemann-Liouville type fractional derivative operator with applications
• A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
• On the simultaneous recovery of boundary heat transfer coefficient and initial heat status
• Central difference method of a nonstandard inverse heat conduction problem for determining surface heat flux from interior observations
• An 'optimal filtering' method for the sideways heat equation
• Extended Riemann-Liouville fractional derivative operator and its applications
• 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
• A spectral method for solving the sideways heat equation
• A boundary element method for a multi-dimensional inverse heat conduction problem

This page was built for publication: A filter method for inverse nonlinear sideways heat equation