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Zbl 1219.65002
Zhang, Hui-Li; Qin, Li-Juan
An ancient Chinese mathematical algorithm and its application to nonlinear oscillators. (English)
[J] Comput. Math. Appl. 61, No. 8, 2071-2075 (2011). ISSN 0898-1221

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 2000:
*65-03 Historical (numerical analysis)
34-03 Historical (ordinary differential equations)
65L99 Numerical methods for ODE
34C15 Nonlinear oscillations of solutions of ODE
01A25 Chinese mathematics

Keywords: ancient chinese mathematics; He's amplitude-frequency formulation; nonlinear oscillator

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