An iterative boundary element method for solving the one-dimensional backward heat conduction problem
From MaRDI portal
Publication:5936339
DOI10.1016/S0017-9310(00)00235-0zbMath0979.80008OpenAlexW2067389096WikidataQ127016108 ScholiaQ127016108MaRDI QIDQ5936339
Nicolae S. Mera, Derek B. Ingham, L. Elliott, Daniel Lesnic
Publication date: 26 February 2002
Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0017-9310(00)00235-0
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15)
Related Items (48)
A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation ⋮ A meshless method for reconstructing the heat source and partial initial temperature in heat conduction ⋮ A modified Tikhonov regularization method for a backward heat equation ⋮ The truncation regularization method for identifying the initial value of heat equation on a spherical symmetric domain ⋮ On an asymmetric backward heat problem with the space and time-dependent heat source on a disk ⋮ Inversion of thermal conductivity in two-dimensional unsteady-state heat transfer system based on boundary element method and decentralized fuzzy inference ⋮ On a fractional backward heat conduction problem: application to deblurring ⋮ Identification of the initial condition in backward problem with nonlinear diffusion and reaction ⋮ A modified method for a backward heat conduction problem ⋮ Some features of solving an inverse backward problem for a generalized Burgers' equation ⋮ On a backward heat problem with time-dependent coefficient: regularization and error estimates ⋮ Fourier regularization for a backward heat equation ⋮ A new algorithm for direct and backward problems of heat conduction equation ⋮ Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique ⋮ Shannon-Taylor technique for solving one-dimensional inverse heat conduction problem ⋮ Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem ⋮ Application of the restrained optimal perturbation method to study the backward heat conduction problem ⋮ A variational technique of mollification applied to backward heat conduction problems ⋮ ERROR ESTIMATES ON A BACKWARD HEAT EQUATION BY A WAVELET DUAL LEAST SQUARES METHOD ⋮ A comparative study on applying the method of fundamental solutions to the backward heat conduction problem ⋮ Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation ⋮ Spectral graph wavelet regularization and adaptive wavelet for the backward heat conduction problem ⋮ Reconstructing an unknown time-dependent function in the boundary conditions of a parabolic PDE ⋮ Compact filtering as a regularization technique for a backward heat conduction problem ⋮ Error estimates of a difference approximation method for a backward heat conduction problem ⋮ Reconstructing the past from imprecise knowledge of the present: Effective non‐uniqueness in solving parabolic equations backward in time ⋮ Restoring boundary conditions in heat conduction ⋮ Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region ⋮ Some novel linear regularization methods for a deblurring problem ⋮ An a posteriori parameter choice rule for the truncation regularization method for solving backward parabolic problems ⋮ A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data ⋮ A radial basis function (RBF)-finite difference (FD) method for the backward heat conduction problem ⋮ Some filter regularization methods for a backward heat conduction problem ⋮ The quasi-boundary value method for identifying the initial value of heat equation on a columnar symmetric domain ⋮ A numerical method for identifying heat transfer coefficient ⋮ Two numerical methods for solving a backward heat conduction problem ⋮ A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data ⋮ Hölder stability for a class of initial inverse nonlinear heat problem in multiple dimension ⋮ Leak identification in a saturated unsteady flow via a Cauchy problem ⋮ Tikhonov regularization method for a backward problem for the time-fractional diffusion equation ⋮ The homotopy method for identifying the radiative source term in the heat conduction problem ⋮ A procedure for determining a spacewise dependent heat source and the initial temperature ⋮ Nonhomogeneous backward heat conduction problem: compact filter regularization and error estimates ⋮ Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system ⋮ Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularization ⋮ Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method ⋮ A method for identifying a spacewise-dependent heat source under stochastic noise interference ⋮ Simultaneous determination of a time-dependent heat source and the initial temperature in an inverse heat conduction problem
This page was built for publication: An iterative boundary element method for solving the one-dimensional backward heat conduction problem
