| publication name | Fractional diffusion equation with double and triple Laplace Adomian decomposition methods. |
|---|---|
| Authors | Aisha F. Fareed; D. A. Hammad; Menna T. M. M. |
| year | 2022 |
| keywords | Double Laplace transform, Triple Laplace transform, Adomain decomposition method, fractional diffusion equation, Mittag-Leffler function. |
| journal | MSA Engineering Journal |
| volume | 1 |
| issue | 1 |
| pages | 1-19 |
| publisher | Not Available |
| Local/International | Local |
| Paper Link | https://msaeng.journals.ekb.eg/article_222357.html |
| Full paper | download |
| Supplementary materials | Doaa Ahmed Abd El-wahab Hammad_MSAENG_Volume 1_Issue 1_Pages 1-19.pdf |
Abstract
This paper aims to present an analytical and approximation method to get the solution of the space-time fractional diffusion equation. This suggested method is based on a combination of the double and triple Laplace transforms with the Adomain decomposition method. The presented methodology is tested on illustrative examples and the results show that it is a simple, efficient, and reliable method. This paper aims to present an analytical and approximation method to get the solution of the space-time fractional diffusion equation. This suggested method is based on a combination of the double and triple Laplace transforms with the Adomain decomposition method. The presented methodology is tested on illustrative examples and the results show that it is a simple, efficient, and reliable method.