A filter method for inverse nonlinear sideways heat equation
type: Item
instance of: scholarly article
title: A filter method for inverse nonlinear sideways heat equation
zbMATH Open document ID: 1482.35105
author: Nguyen Anh Triet
author: Donal O'Regan
author: Nguyen Hoang Luc
author: Nguyen Huu Can
author: D. Baleanu
published in: Advances in Difference Equations
publication date: 2021-12-07T00:00:00Z
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 7440133
zbMATH Keywords: backward problem
zbMATH Keywords: nonlinear heat equation
zbMATH Keywords: ill-posed problem
zbMATH Keywords: Cauchy problem
zbMATH Keywords: regularization method
zbMATH Keywords: error estimate
MaRDI profile type: Publication
full work available at URL: s13662-020-02601-4
OpenAlex ID: W3032533912
cites work: Extended Riemann-Liouville fractional derivative operator and its applications
cites work: Extended Riemann-Liouville type fractional derivative operator with applications
cites work: A spectral method for solving the sideways heat equation
cites work: Q3682852
cites work: A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
cites work: Approximations for a Cauchy problem for the heat equation
cites work: Wavelet and Fourier Methods for Solving the Sideways Heat Equation
cites work: A boundary element method for a multi-dimensional inverse heat conduction problem
cites work: Application of the boundary element method to inverse heat conduction problems
cites work: A quasi-reversibility regularization method for an inverse heat conduction problem without initial data
cites work: Solving the sideways heat equation by a wavelet - Galerkin method
cites work: An 'optimal filtering' method for the sideways heat equation
cites work: New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
cites work: On the simultaneous recovery of boundary heat transfer coefficient and initial heat status
cites work: Central difference method of a nonstandard inverse heat conduction problem for determining surface heat flux from interior observations
cites work: Fourier regularization method of a sideways heat equation for determining surface heat flux
cites work: The general solution for impulsive differential equations with Riemann-Liouville fractional-order \(q\in (1,2)\)
DOI: 10.1186/S13662-020-02601-4
description: scientific article; zbMATH DE number 7440133