TY - JOUR
T1 - A qualitative study and numerical simulations for a time-delayed dispersive equation
AU - Ammari, Kaïs
AU - Chentouf, Boumediène
AU - Smaoui, Nejib
N1 - Publisher Copyright:
© 2020, Korean Society for Informatics and Computational Applied Mathematics.
PY - 2021/6
Y1 - 2021/6
N2 - This paper deals with the stability analysis of a nonlinear time-delayed dispersive equation of order four. First, we prove the well-posedness of the system and give some regularity results. Then, we show that the zero solution of the system exponentially converges to zero when the time tends to infinity provided that the time-delay is small and the damping term satisfies reasonable conditions. Lastly, an intensive numerical study is put forward and numerical illustrations of the stability result are provided.
AB - This paper deals with the stability analysis of a nonlinear time-delayed dispersive equation of order four. First, we prove the well-posedness of the system and give some regularity results. Then, we show that the zero solution of the system exponentially converges to zero when the time tends to infinity provided that the time-delay is small and the damping term satisfies reasonable conditions. Lastly, an intensive numerical study is put forward and numerical illustrations of the stability result are provided.
KW - Nonlinear dispersive equation
KW - Numerical simulations
KW - Stability
KW - Time-delay
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U2 - 10.1007/s12190-020-01446-0
DO - 10.1007/s12190-020-01446-0
M3 - Article
AN - SCOPUS:85092913776
SN - 1598-5865
VL - 66
SP - 465
EP - 491
JO - Journal of Applied Mathematics and Computing
JF - Journal of Applied Mathematics and Computing
IS - 1-2
ER -