Numerical analysis of multi-dimensional time-fractional diffusion problems under the Atangana-Baleanu Caputo derivative

Numerical analysis of multi-dimensional time-fractional diffusion problems under the Atangana-Baleanu Caputo derivative

This paper presents the Elzaki homotopy perturbation transform scheme (EHPTS) to analyze the approximate solution of the multi-dimensional fractional diffusion equation. The Atangana-Baleanu derivative is considered in the Caputo sense. First, we apply Elzaki transform (ET) to obtain a recurrence re...

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Bibliographic Details
Main Authors: Muhammad Nadeem, Ji-Huan He, Hamid. M. Sedighi
Format: Article
Language:English
Published: AIMS Press 2023-02-01
Series:Mathematical Biosciences and Engineering
Subjects:
elzaki transform
diffusion problems
homotopy perturbation scheme
approximate solution
atangana-baleanu derivative
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023356?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mbe.2023356?viewType=HTML

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