Title :
A modified method for fractional numerical differentiation
Author :
Qian, Ailin ; Li, Yan
Author_Institution :
Dept. of Math. & Stat., Xianning Univ., Xianning, China
Abstract :
We consider an ill-posed problem-fractional numerical differentiation with a new method. We propose a modified method to compute fractional numerical derivatives. The convergence estimate under an appropriate choice of regularization parameter is obtained. A numerical implementation is described. Numerical example show that the proposed method is effective and stable.
Keywords :
differentiation; fractional numerical differentiation; ill-posed problem; regularization parameter; Approximation methods; Fourier transforms; Heating; Kernel; Laplace equations; Stability analysis;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765197
