High-order compact solution of the one-dimensional heat and advection-diffusion equations

Applied Mathematical Modelling

Volumn 34, Issue 10, 2010, Pages 3071-3084

  Mohebbi, Akbar ^a   Dehghan, Mehdi ^b  

^a UNIVERSITY OF KASHAN   (Iran)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Collocation technique; Compact finite difference scheme; Cubic spline; Parabolic partial differential equations; Stability and high accuracy

Indexed keywords

A-STABLE METHODS; ADVECTION DIFFUSION EQUATION; COLLOCATION TECHNIQUES; COMPACT FINITE DIFFERENCES; COMPACT SOLUTIONS; CUBIC SPLINE; EFFICIENT METHOD; FOURTH-ORDER; HIGH-ORDER; NUMERICAL RESULTS; ONE-DIMENSIONAL HEAT; PARABOLIC EQUATIONS; PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS; SPACE AND TIME; SPATIAL DERIVATIVES; SPLINE COLLOCATION METHODS; TIME INTEGRATION; UNCONDITIONALLY STABLE;

ADVECTION; COMPUTATIONAL FLUID DYNAMICS; DIFFERENCE EQUATIONS; DIFFUSION; FINITE DIFFERENCE METHOD; LINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; POWDERS; SPLINES; SYSTEM STABILITY;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 77952886121     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2010.01.013     Document Type: Article

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