Meanwhile, this algorithm provides approximate zeros of continuous mapping on Euclidian space and, in some casest can follow the pathwise connected set of zeros.
This paper presents an approximate analytic method for the stiffened torispherical shell with opening under uniform external pressure, that is, the equivalent spherical shell method.
Approximate rollability for the semilinear heat equation is got by this way that linearing the system by variational approach and constructing functional and using dual equation.
This homotopic method is an approximate analysis method, which can be more used for analyzing other behavior of the sea surface temperature anomaly of the atmosphere-ocean oscillator model.