An efficient numerical scheme for fractional characterization of MHD fluid model

DOI10.1016/j.chaos.2022.112475zbMath1506.76119OpenAlexW4288987510MaRDI QIDQ2677448

Yanyan Li

Publication date: 13 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112475

zbMATH Keywords

finite difference schemesMHD flowCaputoheat analysisAtangana Baleanu CaputoCaputo Fabrizio

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05) Fractional partial differential equations (35R11)

Related Items (2)

Efficient numerical simulations based on an explicit group approach for the time fractional advection-diffusion reaction equation ⋮ Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows

Cites Work

• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Basic theory of fractional differential equations
• Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate
• A review of applications of fractional calculus in Earth system dynamics
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• Numerical investigation of fractional-order unsteady natural convective radiating flow of nanofluid in a vertical channel
• Novel operational matrices-based finite difference/spectral algorithm for a class of time-fractional Burger equation in multidimensions
• A spectral approach to analyze the nonlinear oscillatory fractional-order differential equations
• A new collection of real world applications of fractional calculus in science and engineering
• Differential and integral operators with constant fractional order and variable fractional dimension
• A computational approach for boundary layer flow and heat transfer of fractional Maxwell fluid
• Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate
• Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
• On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems

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