| publication name | On a class of non-linear delay distributed order fractional diffusion equations |
|---|---|
| Authors | V.G. Pimenov, A.S. Hendy, R.H. De Staelen |
| year | 2017 |
| keywords | |
| journal | Journal of Computational and Applied Mathematics journal |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, we consider a numerical scheme for a class of non-linear time delay fractional diffusion equations with distributed order in time. This study covers the unique solvabil- ity, convergence and stability of the resulted numerical solution by means of the discrete energy method. The derivation of a linearized difference scheme with convergence order O(τ + (∆α)4 + h4) in L∞-norm is the main purpose of this study. Numerical experiments are carried out to support the obtained theoretical results.