Sideways heat equation and wavelets
Modelling 94 Proceedings of the 1994 international symposium on Mathematical modelling and computational methods
An introduction to the mathematical theory of inverse problems
An introduction to the mathematical theory of inverse problems
Wavelet and Fourier Methods for Solving the Sideways Heat Equation
SIAM Journal on Scientific Computing
Wavelet and error estimation of surface heat flux
Journal of Computational and Applied Mathematics
Pointwise convergence of Fourier regularization for smoothing data
Journal of Computational and Applied Mathematics
Determining surface temperature and heat flux by a wavelet dual least squares method
Journal of Computational and Applied Mathematics
Mathematics and Computers in Simulation
Journal of Computational and Applied Mathematics
The Fourier regularization for solving the Cauchy problem for the Helmholtz equation
Applied Numerical Mathematics
Source term identification for an axisymmetric inverse heat conduction problem
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Numerical pseudodifferential operator and Fourier regularization
Advances in Computational Mathematics
Approximate inverse method for stable analytic continuation in a strip domain
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Hi-index | 7.30 |
The inverse heat conduction problem (IHCP) can be considered to be a sideways parabolic equation in the quarter plane, and now the results available in the literature on IHCP mainly devoted to the standard sideways heat equation. Numerical methods have been developed also for more general equations, but, in most cases, the stability theory and convergence proofs have not been generalized accordingly. This paper remedies this by a simplified Tikhonov and a new Fourier regularization methods on a general sideways parabolic equation. Some known results for sideways heat equation are only the special case of the conclusions in this paper. The numerical example shows that the computation effect is satisfactory.