Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes-Reference-Cited by-同舟云学术

Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes

Published:2023-03-02 Issue:4 Volume:18 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Chawla Reetika¹,Deswal Komal¹,Kumar Devendra¹,Baleanu Dumitru²³

Affiliation:

1. Department of Mathematics, Birla Institute of Technology and Science , Pilani, Rajasthan 333031, India

2. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences Cankaya University , Ankara TR-06530, Turkey ; , Magurle-Bucharest R-077125, Romania

3. Institute of Space Science , Ankara TR-06530, Turkey ; , Magurle-Bucharest R-077125, Romania

Abstract

AbstractIn the present study, we examined the effectiveness of three linearization approaches for solving the time-fractional generalized Burgers' equation using a modified version of the fractional derivative by adopting the Atangana-Baleanu Caputo derivative. A stability analysis of the linearized time-fractional Burgers' difference equation was also presented. All linearization strategies used to solve the proposed nonlinear problem are unconditionally stable. To support the theory, two numerical examples are considered. Furthermore, numerical results demonstrate the comparison of linearization strategies and manifest the effectiveness of the proposed numerical scheme in three distinct ways.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

https://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/18/4/041001/6992446/cnd_018_04_041001.pdf

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