A nonlinear convection-reaction-diffusion equation is used as a model equation of the El Nino events. In this model, the effects of convection, turbulent diffusion, linear feed-back and nonlinear radiation on the anomaly of Sea Surface Temperature (SST) are considered. In the case of constant convection, this equation has exact kink-like travelling wave solutions, which can be used to explain the...
A fractional-step method of predictor-corrector difference-pseudospectrum with unconditionalL 2 -stability and exponential convergence is presented. The stability and convergence of this method is strictly proved mathematically for a nonlinear convection-dominated flow. The error estimation is given and the superiority of this method is verified by numerical test.
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