A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model.

In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model are the weighted average finite difference me...

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Published in:Scientific World Journal pp. 1 - 15
Main Authors: Sweilam, N. H., Khater, Khloud R., Asker, Zafer M., Kareem, Waleed Abdel
Format: Journal Article
Published: Wiley-Blackwell 3/2/2022
Online Access:View this record in EBSCOhost
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      dt: 3/2/2022
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      pub: Wiley-Blackwell
      place: Malden, Massachusetts
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        NLM35281746
        10.1155/2022/1426837
        NLM35281746
        155525541
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        atl: A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model.
      aug:
        au:
          Sweilam, N. H.
          Khater, Khloud R.
          Asker, Zafer M.
          Kareem, Waleed Abdel
        affil: Faculty of Science, Cairo University, Giza, Egypt
      sug:
        subj:
          Elements
          Models, Statistical
          Magnetics
          Rheology
          Blood
          Physiochemical Phenomena
          Scales
      ab: In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model are the weighted average finite difference method and the nonstandard compact finite difference method. The proportional Caputo hybrid operator has been used to fractionalize the proposed model. Stability analysis has been construed by a kind of John von Neumann stability analysis. Numerical results are presented in diverse graphs, which manifest that the method is successful in solving the proposed model.
      pubtype: Academic Journal
      doctype: Journal Article
      ougenre: Article
    language: English
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