Linearization methods for reaction-diffusion equations: 1-D problems

Applied Mathematics and Computation

Volumn 88, Issue 2-3, 1997, Pages 199-224

  Ramos, J I ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16444372803     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00328-1     Document Type: Article

References (10)

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2. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Springer-Verlag, New York, 1991.
3. T. Steihaug and A. Wolfbrandt, An attempt to avoid exact Jacobian and nonlinear equations in the numerical solution of stiff differential equations, Math. Comp. 33:521-534 (1979).
4. J. I. Ramos and C. M. García-López, Linearized θ-methods. I. Ordinary differential equations, Comput. Methods Appl. Mech. Engrg. 129:255-269 (1996).
5. W. E. Schiesser, The Numerical Method of Lines, Academic Press, New York, 1991.
6. W. R. Briley and H. McDonald, Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method, J. Comp. Phys. 24:372-397 (1977).
7. W. R. Briley and H. McDonald, On the structure and use of linearized block implicit methods, J. Comp. Phys. 34:54-73 (1980).
8. R. M. Beam and R. F. Warming, An implicit finite-difference algorithm for hyperbolic equations in conservation-law form, J. Comp. Phys. 22:87-100 (1976).
9. R. M. Beam and R. F. Warming, An implicit factored scheme for the compressible Navier-Stokes equations, AIAA J. 16:393-402 (1978).
10. J. I. Ramos, Numerical methods for one-dimensional reaction-diffusion equations arising in combustion theory. In Annual Review of Numerical Fluid Mechanics and Heat Transfer, Volume 1, (T. C. Chawla, ed.), Hemisphere Publishing Corporation, New York, 1987, pp. 150-261.