References
- U.S.U. Aashikpelokhai, A class of non linear one-step rational integrator, Ph.D. thesis, University of Benin, Benin City, Nigeria, 1991
- Aashikpelokhai , U. S.U. 1997 . High accuracy symanetic matrix solvers for ivp . Benin J.M.S , 1 ( 1 ) : 71 – 81 .
- Aashikpelokhai , U. S.U. 2000 . A variable order numerical integration based on rational interpolats . JNMS , 19 : 27 – 38 .
- Aashikpelokhai , U. S.U. and Momodu , I. B.A. 1999 . A high order rational integrator for stiff systems . Nig. Anal. Nat. Sci. , 4 ( 1 ) : 122 – 143 .
- Aashikpelokhai , U. S.U. and Momodu , I. B.A. 2008 . A quadratic based integration scheme for the solution of singulo – stiff differential equations . IJPS, , 3 ( 4 ) : 090 – 096 .
- Fatunla , S. O. 1978 . An implicit two-point numerical integration formula for linear and non-linear stiff systems of ordinary differential equations . Math. Comput. , 32 ( 141 ) : 1 – 11 .
- Fatunla , S. O. 1980 . Numerical integrators for stiff highly oscillatory differential equations . Math. Comput. , 34 : 373 – 390 .
- Fatunla , S. O. 1982 . Non-linear multi-step methods for ivp . Comput. Math. Appl. , 18 : 231 – 239 .
- Fatunla , S. O. and Aashikpelokhai , U. S.U. 1994 . A fifth order L-stable numerical integrator . Sci. Comput. , 1 : 68 – 86 .
- Fatunla , S. O. and Aashikpelokhai , U. S.U. 1996 . A fourth order A-stable numerical integrator for ivp . Nig. Anal. Nat. Sci. , 3 : 53 – 65 .
- Hall , G. and Watt , J. M. 1976 . Modern Numerical Methods for Ordinary Differential Equations , Oxford : Claredon Press .
- Lambert , J. D. 1973 . Computational Methods in Ordinary Differential Equations , New York : John Wiley .
- Lambert , J. D. 1976 . Convergence and Stability , Edited by: Hall , G. and Watt , J. M. Oxford : Claredon Press .
- Lambert , J. D. and Shaw , B. 1965 . On the numerical solution of y(1) = f(x,y) by a class of fomulae based on rational approximation . Math. Comput. , 19 : 456 – 462 .
- Luke , V. L. , Fair , W. and Wimp , J. 1975 . Predictor–corrector formulae based on rational interpolants . Comput. Math. Appl. , 1 : 3 – 12 .
- Niekerk , V. F.D. 1987 . Nonlinear one-step methods for initial value problems . Comput. Math. Appl. , 13 : 361 – 367 .
- F. Norelli, High accuracy spectra solvers for stiff, non-stiff, and highly oscillatory differential systems, ENEA Dipartments Reattori Veloci, Centro ricerche energia, Casaccia, 1985
- Otunta , F. O. and Ikhile , M. N.O. 1996 . Stability convergence of class of variable order non-linear one step rational integratior of ivp in ODE . J. Comput. Math. , 62 : 199 – 208 .
- Otunta , F. O. and Ikhile , M. N.O. 1999 . Efficient rational one-step numerical integrators for ivp in ODE . Int. J. Comput. Math. , 72 : 49 – 61 .