Wavelet and Fourier Methods for Solving the Sideways Heat Equation
SIAM Journal on Scientific Computing
Fractional Lévy motion and its applocation to network traffic modeling
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
Stable numerical solution of a fractional-diffusion inverse heat conduction problem
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Fractional diffusion equations by the Kansa method
Computers & Mathematics with Applications
Hi-index | 7.29 |
We consider a sideways problem for a fractional heat equation which is highly ill-posed. This study gives a new dynamic method for choosing a regularization parameter. By using the spectral methods, some convergence rates on the temperature and heat flow are given. For illustration, several numerical examples are constructed to show the feasibility and efficiency of the proposed methods. Comparing with the traditional stationary methods for choosing regularization parameter, the proposal methods are more accurate and effective.