Volume 8, Issue 6
Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Ni ˜no-Southern Oscillation Model

Xin Zhao ,  Jian Li ,  Wansuo Duan and Dongqian Xue

10.4208/aamm.2014.m786

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

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  • Abstract

In this paper, we proposes and analyzes the mixed 4th-order Runge-Kutta scheme of conditional nonlinear perturbation (CNOP) approach for the EI Ni ˜noSouthern Oscillation (ENSO) model. This method consists of solving the ENSO model by using a 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.

  • History

Published online: 2018-05

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