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An ancient Chinese mathematical algorithm and its application to nonlinear oscillators. (English) Zbl 1219.65002

Summary: An ancient Chinese mathematical method is briefly introduced, and its application to nonlinear oscillators is elucidated where He’s amplitude-frequency formulation is outlined. Three examples are given to show the extremely simple solution procedure and remarkably accurate solutions.

MSC:

65-03 History of numerical analysis
34-03 History of ordinary differential equations
65L99 Numerical methods for ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
01A25 History of Chinese mathematics
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References:

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