References
- Adomian , G. 1994 . Solving Frontier Problems of Physics: The Decomposition Method , Boston, MA : Kluwer Academic Publishers .
- Al-Mutib , A. N. 1984 . Stability properties of numerical methods for solving delay differential equations . J. Comput. Appl. Math. , 10 ( 1 ) : 71 – 79 . (doi:10.1016/0377-0427(84)90071-2)
- Barwell , V. K. 1975 . Special stability problems for functional equations . BIT , 15 : 130 – 135 . (doi:10.1007/BF01932685)
- Chartier , P. 1994 . L-stable parallel one-block methods for ordinary differential equations . SIAM J. Numer. Anal. , 31 : 552 – 571 . (doi:10.1137/0731030)
- Evans , D. J. and Raslan , K. R. 2005 . The adomian decomposition method for solving delay differential equation . Int. J. Comput. Math. , 82 : 49 – 54 . (doi:10.1080/00207160412331286815)
- Fatunla , S. O. 1991 . Block methods for second order ODEs . Int. J. Comput. Math. , 41 ( 9 ) : 55 – 63 . (doi:10.1080/00207169108804026)
- Iavernaro , F. and Mazzia , F. 1999 . Block-boundary value methods for the solution of ordinary differential equations . SIAM J. Sci. Comput. , 21 ( 1 ) : 323 – 339 . (doi:10.1137/S1064827597325785)
- Ishak , F. , Suleiman , M. B. and Majid , Z. A. 2010 . Two-point block method in variable stepsize technique for solving delay differential equations . J. Mater. Sci. Eng. , 4 : 86 – 90 .
- Ismail , F. , Al-Khasawneh , R. A. , Lwin , A. S. and Suleiman , M. B. 2002 . Numerical treatment of delay differential equations by Runge–Kutta method using Hermite interpolation . Matematika , 18 : 79 – 90 .
- Ismail , F. , Al-Khasawneh , R. A. and Suleiman , M. B. 2003 . Comparison of interpolations used in solving delay differential equations by Runge–Kutta method . Int. J. Comput. Math. , 80 ( 7 ) : 921 – 930 . (doi:10.1080/0020716031000079527)
- Majid , Z. A. and Suleiman , M. B. 2011 . Predictor–corrector block iteration method for solving ordinary differential equations . Sains Malaysiana , 40 ( 6 ) : 659 – 664 .
- Majid , Z. A. , Suleiman , M. B. and Omar , Z. 2006 . 3-Point implicit block method for solving ordinary differential equations . Bull. Malays. Math. Sci. Soc.(2) , 29 ( 1 ) : 23 – 31 .
- Mohamed , A. R. , El-Sherbeiny , Abd-El-Aziz and Mahmoud , N. S. 2006 . Numerical solution of system of first-order delay differential equations using polynomial spline functions . Int. J. Comput. Math. , 83 ( 12 ) : 925 – 937 . (doi:10.1080/00207160601138889)
- Oberle , H. J. and Pesh , H. J. 1981 . Numerical treatment of delay differential equations by Hermite interpolation . Numer. Math , 37 : 235 – 255 . (doi:10.1007/BF01398255)
- Radzi , H. M. , Majid , Z. A. , Ismail , F. and Suleiman , M. 2011 . Solving delay differential equation using variable step size one step block method . Far East J. Math. Sci. , 53 ( 1 ) : 101 – 112 .
- Rosser , J. B. 1967 . A Runge–Kutta for all seasons . SIAM Rev. , 9 : 417 – 452 . (doi:10.1137/1009069)
- San , H. C. , Majid , Z. A. and Othman , M. Solving delay differential equations using coupled block method . The 4th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO) . Kuala Lumpur . pp. 1 – 4 .
- Shampine , L. F. and Watts , H. A. 1969 . Block implicit one-step methods . Math. Comp. , 23 : 731 – 740 . (doi:10.1090/S0025-5718-1969-0264854-5)
- Tian , H. , Shan , K. and Kuang , J. 2009 . Continuous block theta-methods for ordinary and delay differential equations . SIAM J. Sci. Comput. , 31 : 4266 – 4280 . (doi:10.1137/080730779)
- Tian , H. , Yu , Q. and Jin , C. 2011 . Continuous block implicit hybrid one-step methods for ordinary and delay differential equations . Appl. Numer. Math. , 6 : 1289 – 1300 . (doi:10.1016/j.apnum.2011.09.001)
- Zennaro , M. 1986 . P-stability properties of Runge–Kutta methods for delay differential equations . Numer. Math. , 49 : 305 – 318 . (doi:10.1007/BF01389632)
- Zhang , G. 2001 . Stability of implicit one-block methods for delay differential equations . Appl. Numer. Math. , 36 : 275 – 279 . (doi:10.1016/S0168-9274(00)00008-8)
- Zhang , C. and Chen , H. 2010 . Block boundary value methods for delay differential equations . Appl. Numer. Math. , 60 : 915 – 923 . (doi:10.1016/j.apnum.2010.05.001)