Volume 8, Issue 6
Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model

Adv. Appl. Math. Mech., 8 (2016), pp. 1023-1035.

Published online: 2018-05

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• Abstract

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.

65M06, 65M12

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@Article{AAMM-8-1023, author = {Zhao , XinLi , JianDuan , Wansuo and Xue , Dongqian}, title = {Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {6}, pages = {1023--1035}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m786}, url = {http://global-sci.org/intro/article_detail/aamm/12129.html} }
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 -

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.

Xin Zhao, Jian Li, Wansuo Duan & Dongqian Xue. (2020). Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model. Advances in Applied Mathematics and Mechanics. 8 (6). 1023-1035. doi:10.4208/aamm.2014.m786
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