Curve-like concentration for Bose-Einstein condensates

Guo, Qing; Tian, Shuying; Zhou, Yang

doi:10.1007/s00526-021-02171-7

Cited by 3 publications

(1 citation statement)

References 26 publications

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“…Guo and others believe that, for example, in the population growth model, in the ordinary differential equation with integer order, the general solution of the first-order differential equation with simple form can be obtained directly. In addition, there are linear equations and equations with separable variables and equations that can be transformed into these two equations by some special methods, and the number of such equations is very small [9]. Kuznetsov and others found that the number of equations that can be solved by superposition principle in higher-order equations is also very small.…”

Section: Literature Reviewmentioning

confidence: 99%

Numerical Analysis of Two Kinds of Nonlinear Differential Equations Based on Computer Energy Simulation

2022

Wireless Communications and Mobile Computing

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In order to solve some shortcomings, such as the traditional integer order calculus theoretical model is in good agreement with the numerical experimental results, the fractional order calculus model in many fields such as modern engineering calculation is proposed, which has been paid more attention and applied than the integer order calculus model. In such problems, nonlinear fractional differential equations sometimes bring us many unexpected surprises, so as to get unexpected conclusions about the description of the problem. The experiment shows that when the time t = 0.5 , the error between them is 0.0305, and the error is slightly larger. In this case, we can reduce the overall error by adding a new term of the decomposition sequence, and the approximate analytical solution can be closer to the exact solution, which verifies the effectiveness of the experiment.

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Section: Literature Reviewmentioning

confidence: 99%