The boundary element method for the solution of the backward heat conduction equation
Journal of Computational Physics
A mollification method for ill-posed problems
Numerische Mathematik
Optimal filtering for the backward heat equation
SIAM Journal on Numerical Analysis
A comparison of regularizations for an ill-posed problem
Mathematics of Computation
A comparison of some inverse methods for estimating the initial condition of the heat equation
Journal of Computational and Applied Mathematics - Special issue on applied and computational topics in partial differential equations
Numerical solution of forward and backward problem for 2-D heat conduction equation
Journal of Computational and Applied Mathematics
Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Advances in Computational Mathematics
Shannon wavelet regularization methods for a backward heat equation
Journal of Computational and Applied Mathematics
Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates
SIAM Journal on Numerical Analysis
Hermite spectral and pseudospectral methods for numerical differentiation
Applied Numerical Mathematics
A Regularization Parameter for Nonsmooth Tikhonov Regularization
SIAM Journal on Scientific Computing
A backward parabolic equation with a time-dependent coefficient: Regularization and error estimates
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
The goal of this paper is to investigate a backward parabolic equation with time-dependent coefficient by the truncation method (TM). The key point to our paper is that we give an a posteriori choice of regularization parameter for the TM, with which the convergence estimates between the exact solution and the regularized approximation are obtained. Numerical implementation sheds light on the accuracy and efficiency of the proposed method.