Source identification problems for radially symmetric and axis-symmetric heat conduction equations
type: Item
instance of: scholarly article
title: Source identification problems for radially symmetric and axis-symmetric heat conduction equations
zbMATH Open document ID: 1432.65137
author: Mohammed Elmustafa Amin
author: Xiangtuan Xiong
published in: Applied Numerical Mathematics
publication date: 2019-03-25T00:00:00Z
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 80A23
zbMATH DE Number: 7041638
zbMATH Keywords: meshless method
zbMATH Keywords: method of fundamental solutions
zbMATH Keywords: heat source
zbMATH Keywords: inverse problem
zbMATH Keywords: radially symmetric and axis-symmetric heat equations
MaRDI profile type: Publication
full work available at URL: j.apnum.2018.12.013
OpenAlex ID: W2906787635
cites work: On an inverse source problem for the heat equation. Application to a pollution detection problem, II
cites work: Radiogenic Source Identification for the Helium Production-Diffusion Equation
cites work: Uniqueness and stability of 3D heat sources
cites work: Methods of fundamental solutions for time-dependent heat conduction problems
cites work: Conditional stability in determining a heat source
cites work: Reconstruction of a spacewise-dependent heat source in a time-dependent heat diffusion process
cites work: Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation
cites work: Numerical computation for backward time-fractional diffusion equation
cites work: Fundamental kernel-based method for backward space-time fractional diffusion problem
cites work: Q4895893
cites work: The boundary-element method for the determination of a heat source dependent on one variable
cites work: Q4945301
cites work: A computational method for inverse free boundary determination problem
cites work: A fundamental solution method for inverse heat conduction problem
cites work: Q3426537
cites work: Identification of a multi-dimensional space-dependent heat source from boundary data
cites work: The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
cites work: A meshless method for some inverse problems associated with the Helmholtz equation
cites work: Properties of a method of fundamental solutions for the parabolic heat equation
cites work: Determination of a spacewise dependent heat source
cites work: A variational method for identifying a spacewise-dependent heat source
cites work: A procedure for determining a spacewise dependent heat source and the initial temperature
cites work: A method of fundamental solutions for transient heat conduction
cites work: A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems
cites work: Identification of source locations in two-dimensional heat equations
cites work: Q3551820
cites work: The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
cites work: The method of fundamental solutions for nonlinear functionally graded materials
cites work: Q3779152
cites work: The method of fundamental solutions for a time-dependent two-dimensional Cauchy heat conduction problem
cites work: A meshless method for solving 1D time-dependent heat source problem
cites work: Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III
cites work: Numerical differentiation by radial basis functions approximation
cites work: A computational method for identifying a spacewise-dependent heat source
cites work: The method of fundamental solutions for the inverse heat source problem
cites work: A meshless method for solving an inverse spacewise-dependent heat source problem
cites work: A sequential method to estimate the strength of the heat source based on symbolic computation
cites work: Solving the two-dimensional inverse heat source problem through the linear least-squares error method
cites work: Source term identification in 1-D IHCP
cites work: Identification of source terms in 2-D IHCP
cites work: Novel meshless method for solving the potential problems with arbitrary domain
Wikidata QID: Q128639193
DOI: 10.1016/J.APNUM.2018.12.013
description: scientific article; zbMATH DE number 7041638