A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate

A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate

This paper deals with a non-standard implicit finite difference scheme that is defined on a quasi-uniform mesh for approximate solutions of the Magneto-Hydro Dynamics (MHD) boundary layer flow of an incompressible fluid past a flat plate for a wide range of the magnetic parameter. The proposed appro...

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Bibliographic Details
Main Authors: Riccardo Fazio, Alessandra Jannelli
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Mathematical and Computational Applications
Subjects:
MHD model problem
boundary problem on semi-infinite interval
non-standard finite difference scheme
quasi-uniform mesh
error estimation
Online Access:https://www.mdpi.com/2297-8747/26/1/22
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spelling doaj-6867b35788cd40a58711790e05fb6c552021-03-10T00:03:41ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472021-03-0126222210.3390/mca26010022A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat PlateRiccardo Fazio0Alessandra Jannelli1Department of Mathematical and Computer Science, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno D’Alcontres 31, 98166 Messina, ItalyDepartment of Mathematical and Computer Science, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno D’Alcontres 31, 98166 Messina, ItalyThis paper deals with a non-standard implicit finite difference scheme that is defined on a quasi-uniform mesh for approximate solutions of the Magneto-Hydro Dynamics (MHD) boundary layer flow of an incompressible fluid past a flat plate for a wide range of the magnetic parameter. The proposed approach allows imposing the given boundary conditions at infinity exactly. We show how to improve the obtained numerical results via a mesh refinement and a Richardson extrapolation. The obtained numerical results are favourably compared with those available in the literature.https://www.mdpi.com/2297-8747/26/1/22MHD model problemboundary problem on semi-infinite intervalnon-standard finite difference schemequasi-uniform mesherror estimation
collection DOAJ
language English
format Article
sources DOAJ
author Riccardo Fazio
Alessandra Jannelli
spellingShingle Riccardo Fazio
Alessandra Jannelli
A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate
Mathematical and Computational Applications
MHD model problem
boundary problem on semi-infinite interval
non-standard finite difference scheme
quasi-uniform mesh
error estimation
author_facet Riccardo Fazio
Alessandra Jannelli
author_sort Riccardo Fazio
title A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate
title_short A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate
title_full A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate
title_fullStr A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate
title_full_unstemmed A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate
title_sort non-standard finite difference scheme for magneto-hydro dynamics boundary layer flows of an incompressible fluid past a flat plate
publisher MDPI AG
series Mathematical and Computational Applications
issn 1300-686X
2297-8747
publishDate 2021-03-01
description This paper deals with a non-standard implicit finite difference scheme that is defined on a quasi-uniform mesh for approximate solutions of the Magneto-Hydro Dynamics (MHD) boundary layer flow of an incompressible fluid past a flat plate for a wide range of the magnetic parameter. The proposed approach allows imposing the given boundary conditions at infinity exactly. We show how to improve the obtained numerical results via a mesh refinement and a Richardson extrapolation. The obtained numerical results are favourably compared with those available in the literature.
topic MHD model problem
boundary problem on semi-infinite interval
non-standard finite difference scheme
quasi-uniform mesh
error estimation
url https://www.mdpi.com/2297-8747/26/1/22
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AT alessandrajannelli anonstandardfinitedifferenceschemeformagnetohydrodynamicsboundarylayerflowsofanincompressiblefluidpastaflatplate
AT riccardofazio nonstandardfinitedifferenceschemeformagnetohydrodynamicsboundarylayerflowsofanincompressiblefluidpastaflatplate
AT alessandrajannelli nonstandardfinitedifferenceschemeformagnetohydrodynamicsboundarylayerflowsofanincompressiblefluidpastaflatplate
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