F. Ismail et M. Bin Suleiman, Solving delay differential equations using intervalwise partitioning by Runge-Kutta method, APPL MATH C, 121(1), 2001, pp. 37-53
Embedded singly diagonally implicit Runge-Kutta method is used to solve sti
ff systems of delay differential equations. The delay argument is approxima
ted using Newton divided difference interpolation. Initially the whole syst
em is considered as nonstiff and solved using simple iteration, in the even
t that stiffness is indicated, the whole system is considered as stiff and
solved using Newton iteration. Numerical results based on one technique to
detect stiffness is tabulated and compared with the numerical results when
the system is considered as stiff from the beginning. (C) 2001 Elsevier Sci
ence Inc. All rights reserved.