TY - JOUR
T1 - Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model
AU - Zhao , Xin
AU - Li , Jian
AU - Duan , Wansuo
AU - Xue , Dongqian
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 1023
EP - 1035
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2014.m786
UR - https://global-sci.org/intro/article_detail/aamm/12129.html
KW - The EI Niño-Southern Oscillation (ENSO) model, 4th-order Runge-Kutta scheme, optimal control problem, conditional nonlinear perturbation.
AB - <p style="text-align: justify;">In this paper, we propose and analyze the mixed 4th-order Runge-Kutta
scheme of conditional nonlinear perturbation (CNOP) approach for the EI Niño-Southern
Oscillation (ENSO) model. This method consists of solving the ENSO model
by using the mixed 4th-order Runge-Kutta method. Convergence, the local and global
truncation error of this mixed 4th-order Runge-Kutta method are proved. Furthermore,
optimal control problem is developed and the gradient of the cost function is
determined.</p>