Linearized Θ-methods part II: Reaction-diffusion equations

Computer Methods in Applied Mechanics and Engineering

Volumn 137, Issue 3-4, 1996, Pages 357-378

  Garcia Lopez C M ^a   Ramos, J I ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; ERRORS; FLAME RESEARCH; MATHEMATICAL OPERATORS; MATRIX ALGEBRA;

OPERATOR SPLITTING METHODS; PARTIALLY LINEARIZED METHODS; REACTION DIFFUSION EQUATIONS; THOMAS METHOD;

COMPUTATIONAL METHODS;

EID: 0030284895     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01043-2     Document Type: Article

References (11)

1. J.I. Ramos and C.M. García-López, Linearized Θ-methods: I. Ordinary differential equations, Comput. Methods Appl. Mech. Engrg. (1995), in press.
2. W.R. Briley and H. McDonald, On the structure and use of linearized block implicit methods, J. Comput. Phys. 34 (1980) 54-73.
3. R.M. Beam and R.F. Warming, An implicit factored scheme for the compressible Navier-Stokes equations, AIAA J. 16 (1978) 393-402.
4. J.I. Ramos, On some accurate finite-difference methods for laminar flame calculations, Int. J. Numer. Methods Fluids 4 (1984) 915-930.
5. E.H. Twizell, Y. Wang, W.G. Price and F. Fakhr, Finite-difference methods for solving the reaction-diffusion equations of a simple isothermal chemical system, Numer. Methods Partial Diff. Eqs. 10 (1994) 435-454.
6. N.N. Yanenko, The Method of Fractional Steps (Springer-Verlag, New York, 1971).
7. J.I. Ramos, On the accuracy of block implicit and operator-splitting algorithms in confined flame propagation problems, Int. J. Comput. Math. 20 (1986) 299-324.
8. J.I. Ramos, Numerical solution of reactive-diffusive systems. Part 3: Time linearization and operator-splitting techniques, Int. J. Comput. Math. 18 (1986) 289-309.
9. D.N. Lee and J.I. Ramos, Application of the finite-element method to one-dimensional flame propagation problems, AIAA J. 21 (1983) 262-269.
10. J.I. Ramos, Finite element methods for one-dimensional flame propagation problems, in: T.J. Chung, ed., Numerical Modeling in Combustion (Hemisphere Publishing Corporation, New York, 1993) 3-131.
11. C.M. García-López and J.I. Ramos, Linearized Θ-methods for reaction-diffusion equations, Report No. GTCI-1995-3, E.T.S.I. Industriales, Universidad de Málaga, Spain, 30 October 1995.