A new numerical technique for solving fractional sub-diffusion and reaction sub-diffusion equations with a non-linear source term

A new numerical technique for solving fractional sub-diffusion and reaction sub-diffusion equations with a non-linear source term

In this paper, we are concerned with the fractional sub-diffusion equation with a non-linear source term. The Legendre spectral collocation method is introduced together with the operational matrix of fractional derivatives (described in the Caputo sense) to solve the fractional sub-diffusi...

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Bibliographic Details
Main Authors: Bhrawy Ali H., Baleanu Dumitru, Mallawi Fouad
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2015-01-01
Series:Thermal Science
Subjects:
local fractional variational iteration method
diffusion equation
non-differentiable solution
local fractional derivative
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-983615025B .pdf

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