1. Abdi, A. and Hojjati, G. An extension of general linear methods, Numer. Algor., 57 (2011), 149–167.
2. Abdi, A. and Hojjati, G. Maximal order for second derivative general linear methods with Runge-Kutta stability, Appl. Numer. Math., 61 (2011), 1046–1058.
3. Abdi, A., Bra` s, M. and Hojjati, G. On the construction of second derivative diagonally implicit multistage integration methods, Appl. Numer. Math., 76 (2014), 1–18.
4. Burg, K.V.
Statistical Models in Applied Science, J. Wiley, New York, 1975.
5. Butcher, J. C.
On the convergence of numerical solutions to ordinary differential equations, Math. Comp., 20 (1966), 1–10.
6. Butcher, J. C. and Hojjati, G.
Second derivative methods with RK stability, Numer. Algor., 40 (2005), 415–429.
7. Cash, J. R.
Second derivative extended backward differentiation formula for the numerical integration of stiff systems, SIAM J. Numer. Anal., 18 (1981), 21–36.
8. Enright, W. H.
Second derivative multistep methods for stiff ordinary differential equations, SIAM J. Numer. Anal., 11 (1974), 321–331.
9. Hojjati, G., Rahimi Ardabili, M.Y. and Hosseini, S.M.
New second derivative multistep methods for stiff systems, Appl. Math. Model., 30 (2006), 466–476.
10. Eriksson, K., Johnson, C. and Logg, A.
Explicit time-stepping for stiff ODEs, SIAM J. Sci. Comput., 25 (2003), 11–42.
11. Field, R. J., K¨or¨os, E. and Noyes, R. M.
Oscillation in chemical systems, part. 2. thorough analysis of temporal oscillations in the bromate–cerium–malonic acid system. Journal of the American Society, 94 (1972), 8649–8664.
12. Gray, C.
An analysis of the Belousov–Zhabotinskii reaction. Rose-Hulman Undergraduate Mathematics Journal, 3(1), 2002.
http://www.rose hulman.edu/mathjournal/.
13. Hairer, E. and Wanner, G.
Solving Ordinary Differential Equations II: Stiff and Differential-algebraic Problems, Springer-Verlag, 1991.
14. Sch¨ afer, E. A new approach to explain the ‘high irradiance responses’ of photomorphogenesis on the bais of phytochrome, J. of Math. Biology, 2 (1975), 41–56.
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