A nonstandard finite difference method for the one-dimensional advection equation in cylindrical-polar coordinates
type: Item
instance of: scholarly article
title: A nonstandard finite difference method for the one-dimensional advection equation in cylindrical-polar coordinates
zbMATH Open document ID: 0882.65079
DOI: 10.1016/S0307-904X(97)00020-6
published in: Applied Mathematical Modelling
publication date: 1998-02-03T00:00:00Z
review text: In this short note the author constructs finite difference expressions for the spherical wave equation. The proposed method does not require that the analytic solution be known. Furthermore it can be used to obtain the difference expressions for other equations. In addition, if the solution is continuous, the piecewise linearization technique provides piecewise continuous solutions.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 1063786
zbMATH Keywords: finite difference methods
zbMATH Keywords: wave equation
zbMATH Keywords: nonstandard finite difference method
zbMATH Keywords: advection equation
author: Juan I. Ramos
reviewed by: Karel Najzar
MaRDI profile type: Publication
cites work: Q4865485
full work available at URL: s0307-904x(97)00020-6
OpenAlex ID: W2048030973
description: scientific article; zbMATH DE number 1063786