Attaining exponential convergence for the flux error with second- and fourth-order accurate finite-difference equations. I. Presentation of the basic concept and application to a pure diffusion system

Journal of Computational Chemistry

Volumn 26, Issue 6, 2005, Pages 619-632

  Rudolph, Manfred ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

Digital simulation; Exponential convergence of the flux error; Fourth order accurate spatial discretization; Separate effect of time and spatial discretization; Solution of penta diagonal matrix equations

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; DIFFUSION; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS;

DIGITAL SIMULATION; EXPONENTIAL CONVERGENCE OF THE FLUX ERROR; FOURTH ORDER ACCURATE SPATIAL DISCRETIZATION; SEPARATE EFFECT OF TIME AND SPATIAL DISCRETIZATION; SOLUTION OF PENTA-DIAGONAL MATRIX EQUATIONS;

FLUXES;

EID: 17644401341     PISSN: 01928651     EISSN: None     Source Type: Journal    
DOI: 10.1002/jcc.20200     Document Type: Article

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