Version 1
: Received: 2 February 2021 / Approved: 3 February 2021 / Online: 3 February 2021 (16:11:55 CET)
How to cite:
Fazio, R.; Jannelli, A. A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate. Preprints2021, 2021020125 (doi: 10.20944/preprints202102.0125.v1).
Fazio, R.; Jannelli, A. A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate. Preprints 2021, 2021020125 (doi: 10.20944/preprints202102.0125.v1).
Cite as:
Fazio, R.; Jannelli, A. A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate. Preprints2021, 2021020125 (doi: 10.20944/preprints202102.0125.v1).
Fazio, R.; Jannelli, A. A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate. Preprints 2021, 2021020125 (doi: 10.20944/preprints202102.0125.v1).
Abstract
This paper deals with a non-standard finite difference scheme 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. 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.
Keywords
MHD model problem; boundary problem on semi-infinite interval; non-standard finite difference scheme; quasi-uniform mesh; error estimation
Subject
MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Riccardo Fazio
Alessandra Jannelli