"Two Analytical Approaches for Space- and Time- Fractional Coupled Burg" by Garima Agarwal, Lokesh Kumar Yadav et al.

Progress in Fractional Differentiation & Applications

Article Title

Two Analytical Approaches for Space- and Time- Fractional Coupled Burger’s Equations via Elzaki Transform

Authors

Garima Agarwal, Department of Mathematics and Statistics, Manipal University Jaipur, Rajasthan, IndiaFollow
Lokesh Kumar Yadav, Department of Mathematics and Statistics, Manipal University Jaipur, Rajasthan, IndiaFollow
Wedad Albalawi, Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaFollow
Abdel-Haleem Abdel-Aty, Department of Physics, College of Sciences, University of Bisha, PO Box 344, Bisha 61922, Saudi Arabia\\ Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptFollow
Kottakkaran Sooppy Nisar, Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi ArabiaFollow
Thekkethil Shefeeq, Department of Mathematics, Farook College (Autonomous), Kozhikode-673632, Kerala, IndiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

In the present paper, we examine one- and two- dimensional fractional coupled Burger’s equations (FCBEs) by two different schemes, namely Iterative Elzaki transform scheme (IETM) and homotopy analysis Elzaki transform method (HAETM). These schemes provide a numerical solution of one- and two- dimensional FCBEs in the terms of power series. Several sample problems have been solved to illustrate the accuracy and efficiency of proposed schemes. In numerical studies, we show that both proposed schemes HAETM and IETM give the same results in the case of the one-dimensional FCBE, while in the two-dimensional FCBE, the solution gains by HAETM converge rapidly than the approximate result by IETM.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080111

Recommended Citation

Agarwal, Garima; Kumar Yadav, Lokesh; Albalawi, Wedad; Abdel-Aty, Abdel-Haleem; Sooppy Nisar, Kottakkaran; and Shefeeq, Thekkethil (2022) "Two Analytical Approaches for Space- and Time- Fractional Coupled Burger’s Equations via Elzaki Transform," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 1, Article 11.
DOI: http://dx.doi.org/10.18576/pfda/080111
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss1/11

Download

COinS