Numerical approximation of fractional burgers equation with Atangana–Baleanu derivative in Caputo sense

Swati Yadav and Rajesh K. Pandey

Chaos, Solitons & Fractals, 2020, vol. 133, issue C

Abstract: Burgers equation, a non-linear partial differential equation, occurs in many mathematical fields like fluid mechanics, gas dynamics, nonlinear acoustics, traffic flow, etc. This paper is based on a numerical technique using finite difference method to solve fractional Burgers equation. The fractional differential operator used here is Atangana-Baleanu fractional derivative whose kernel is a non-singular function. Some examples are considered to perform numerical simulations. The stability of the scheme is proved, and convergence is estimated numerically.

Keywords: Fractional Burgers equation; Atangana–Baleanu Caputo derivative; Numerical approximation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300291

DOI: 10.1016/j.chaos.2020.109630

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