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Fractional diffusion equation with double and triple Laplace Adomian decomposition methods.
MSA Engineering Journal • 2022
Publication Information
Authors
Aisha F. Fareed; D. A. Hammad; Menna T. M. M.
Keywords
Double Laplace transform, Triple Laplace transform, Adomain
decomposition method, fractional diffusion equation, Mittag-Leffler
function.
Journal
MSA Engineering Journal
Publisher
Not Available
Volume
1
Issue
1
Pages
1-19
publication.type
Local
Paper Link
Open Link
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.
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.