@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} }