Numerical analysis of coupled hydromagnetic wave equations with a finite difference scheme
type: Item
instance of: scholarly article
title: Numerical analysis of coupled hydromagnetic wave equations with a finite difference scheme
zbMATH Open document ID: 0772.76055
DOI: 10.1007/BF01061330
author: K. Appert
published in: Journal of Scientific Computing
publication date: 1993-08-29T00:00:00Z
review text: A finite difference scheme offering second-order accuracy is introduced to solve numerically a system of two mixed-type coupled partial differential equations with variable coefficients. The stability conditions of the scheme have been examined by both the Fourier method and the matrix method. The proposed numerical algorithm has been demonstrated by a boundary value problem which considers the coupling and propagation of hydromagnetic waves in the magnetosphere.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 86A25
zbMATH DE Number: 399281
zbMATH Keywords: second-order accuracy
zbMATH Keywords: stability
zbMATH Keywords: Fourier method
zbMATH Keywords: matrix method
zbMATH Keywords: boundary value problem
zbMATH Keywords: magnetosphere
MaRDI profile type: Publication
cites work: Q3698196
cites work: High-order methods for elliptic equations with variable coefficients
cites work: Q3686255
cites work: Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation
cites work: Q4199478
cites work: Q4118749
cites work: Über implizite Differenzmethoden für partielle Differentialgleichungen
cites work: Systems of conservation laws
cites work: Q4074415
cites work: Stability of parabolic difference schemes in the maximum norm
full work available at URL: https://doi.org/10.1007/bf01061330
OpenAlex ID: W1984593611
description: scientific article; zbMATH DE number 399281