A new computational procedure for the solution of the time-fractional advection problem

This paper attempts to establish a new procedure to approximate the solution of the time-fractional Advection Problem. Fractional derivative is used in a conformable time sense. The solution is obtained by using a modified differential transform method known as the Conformable fractional differentia...

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Bibliographic Details
Main Authors: Kaur, Simranpreet, Kumar, Anoop, Pathak, Ashok Kumar
Format: Conference Proceeding
Language:English
Subjects:
Advection
Exact solutions
Perturbation methods
Online Access:Get full text
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Summary:This paper attempts to establish a new procedure to approximate the solution of the time-fractional Advection Problem. Fractional derivative is used in a conformable time sense. The solution is obtained by using a modified differential transform method known as the Conformable fractional differential transform method (CFDTM) that can also be used to find exact solutions in some cases. A comparison of the proposed technique with some existing methods like Adomian decomposition and Homotopy perturbation method is discussed for illustrative purposes.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0111641