Linearized Θ-methods: I. Ordinary differential equations

Computer Methods in Applied Mechanics and Engineering

Volumn 129, Issue 3, 1996, Pages 255-269

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

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; FINITE ELEMENT METHOD; ITERATIVE METHODS; LINEAR ALGEBRA; MATRIX ALGEBRA; NUMERICAL METHODS;

ORDINARY DIFFERENTIAL EQUATIONS; TAYLOR'S SERIES;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0029776145     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(95)00915-9     Document Type: Article

References (10)

1. J.I. Ramos, Numerical methods for one-dimensional reaction-diffusion equations arising in combustion theory, in: T.C. Chawla, ed., Annual Review of Numerical Fluid Mechanics and Heat Transfer, Volume 1 (Hemisphere Publishing Corporation, New York, 1987) 150-261.
2. 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.
3. T. Mavoungou and Y. Cherruault, Numerical study of Fisher's equation by Adomian's method, Math. Comput. Modelling 19 (1994) 89-95.
4. J.I. Ramos, Modified equation techniques for reaction-diffusive systems. Part 2: Time-linearization and operator-splitting methods, Comput. Methods Appl. Mech. Engrg. 64 (1987) 221-236.
5. 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.
6. E.H. Twizell, Y. Wang, W.G. Price and F. Fakhr, Finite-difference methods for solving the reaction-difussion equations of a simple isothermal chemical system, Numer. Methods Partial Diff. Eqns. 10 (1994) 435-454.
7. J.D. Lambert, Numerical Methods for Ordinary Differential Equations (John Wiley & Sons, New York, 1991).
8. T.E. Hull, W.H. Enright, B.M. Fellen and A.E. Sedgwick, Comparing numerical methods for ordinary differential equations, SIAM J. Numer. Anal. 9 (1972) 603-637.
9. C.M. García López, Estudio analítico y numérico de algunos modelos de población relacionados con ecuaciones diferenciales ordinarias y ecuaciones en derivadas parciales, Tesis de Licenciatura, Universidad de Málaga, 1994.
10. E. Hairer, S.P. Norsett and G. Wanner, Solving Ordinary Differential Equations I. Nonstiff Problems (Springer-Verlag, New York, 1987).