Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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. Preprints 2021, 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

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