stability of runge-kutta methods for neutral delay differential equations
;Liping Wen;Xiong Liu;Yuexin Yu
Journal of the American Heart Association2015Vol. 2015pp. -
499
wen2015discretestability
Abstract
This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. Numerical examples are given to confirm our theoretical results.