Mathematical Physics

    

Application of Multipoints Summation Method to Nonlinear Differential Equations

Authors: Yoshiki Ueoka

I suggest a new approximate approach, the Multipoints Summation method, to solve non-linear differential equations analytically. The method connects several local asymptotic series. I present applications of the method to two examples of non-linear differential equations: saddle-node bifurcation and the non-linear differential equation of the pendulum. Explicit approximate solutions expressed in terms of elementary functions are obtained from an analysis of phase space. This approach may be also applied to other non-linear differential equations.

Comments: 12 Pages.

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Submission history

[v1] 2021-11-20 07:58:20

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