Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model
Year: 2016
Author: Xin Zhao, Jian Li, Wansuo Duan, Dongqian Xue
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m786
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1023–1035
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: The EI Niño-Southern Oscillation (ENSO) model 4th-order Runge-Kutta scheme optimal control problem conditional nonlinear perturbation.
Author Details
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