TY - JOUR
T1 - A Semidiscrete Approximation Scheme for Neutral Delay-Differential Equations
AU - Fabiano , R. H.
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 712
EP - 726
PY - 2013
DA - 2013/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/591.html
KW - neutral delay equation, semidiscrete approximation, semigroup theory.
AB - <p style="text-align: justify;">We consider an approximation scheme for systems of linear delay-differential equations
of neutral type. The finite dimensional approximating systems are constructed with basis functions
defined using linear splines, extending to neutral equations a scheme which had previously been
defined only for retarded equations. A Trotter-Kato semigroup convergence result is proved, and
numerical results are given to illustrate the qualitative behavior of the scheme.</p>