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Dr. Doaa Ahmed Abd El-wahab Hammad :: Publications: |
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| Title: | 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: | |
| Full paper | Doaa Ahmed Abd El-wahab Hammad_MSAENG_Volume 1_Issue 1_Pages 1-19.pdf |
| 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. |
