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Dr. Ahmed Said Abdelaziz Hendy :: Publications: |
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| Title: | 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: | Not Available |
| 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 | Ahmed Said Abdelaziz Hendy_hendy (3).pdf |
| 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. |
