Numerical analysis of coupled hydromagnetic wave equations with a finite difference scheme

M. H. Whang, Spencer Kuo, M. C. Lee

Research output: Contribution to journalArticle

Abstract

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 Fourier method via the local transform is first used to investigate parametrically the stability conditions of the proposed scheme. The stability conditions are checked point by point for the entire domain of interest without involving the convolution of the Fourier transform. These conditions are further verified by the matrix method. Since two different methods are employed, one can ensure that the stability conditions are achieved consistently. Moreover, the optimum parameters increasing the accuracy of the numerical solutions can be determined during the stability analysis. The proposed numerical algorithm has been demonstrated by a boundary value problem which considers the coupling and propagation of hydromagnetic waves in the magnetosphere.

Original languageEnglish (US)
Pages (from-to)241-261
Number of pages21
JournalJournal of Scientific Computing
Volume7
Issue number3
DOIs
StatePublished - Sep 1992

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Wave equations
Finite Difference Scheme
Stability Condition
Numerical analysis
Numerical Analysis
Wave equation
Fourier Method
Matrix Method
Second-order Accuracy
Magnetosphere
Variable Coefficients
Numerical Algorithms
Stability Analysis
Convolution
Fourier transform
Partial differential equation
Boundary Value Problem
Boundary value problems
Partial differential equations
Numerical Solution

Keywords

  • finite difference scheme
  • Fourier method
  • matrix method
  • Stability analysis

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Computer Networks and Communications

Cite this

Numerical analysis of coupled hydromagnetic wave equations with a finite difference scheme. / Whang, M. H.; Kuo, Spencer; Lee, M. C.

In: Journal of Scientific Computing, Vol. 7, No. 3, 09.1992, p. 241-261.

Research output: Contribution to journalArticle

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