A HIGHER-ORDER APPROACH FOR TIME-FRACTIONAL GENERALIZED BURGERS’ EQUATION

Komal Taneja (), Komal Deswal, Devendra Kumar () and Dumitru Baleanu
Additional contact information
Komal Taneja: Department of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan 333031, India
Komal Deswal: Department of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan 333031, India
Devendra Kumar: Department of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan 333031, India
Dumitru Baleanu: Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, TR-06530 Ankara, Turkey3Institute of Space Science, R-077125 Magurle-Bucharest, Romania

FRACTALS (fractals), 2023, vol. 31, issue 07, 1-22

Abstract: A fast higher-order scheme is established for solving inhomogeneous time-fractional generalized Burgers’ equation. The time-fractional operator is taken as the modified operator with the Mittag-Leffler kernel. Through stability analysis, it has been demonstrated that the proposed numerical approach is unconditionally stable. The convergence of the numerical method is analyzed theoretically using von Neumann’s method. It has been proved that the proposed numerical method is fourth-order convergent in space and second-order convergent in time in the L2-norm. The scheme’s proficiency and effectiveness are examined through two numerical experiments to validate the theoretical estimates. The tabular and graphical representations of numerical results confirm the high accuracy and versatility of the scheme.

Keywords: Mittag-Leffler Kernel; Compact Finite Difference Method; Time-Fractional Generalized Burgers’ Equation; Von-Neumann’s Method; Stability; Convergence (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23500676
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:07:n:s0218348x23500676

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23500676

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().