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

Abstract

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.