Python implementation of the algebraic harmonic balance method for second order ordinary differential equations with polynomial coefficients.
Project description
algebraic_hbm (Algebraic Harmonic Balance Method)
This package provides a Python 3.10 implementation of the algebraic harmonic balance method for second order ordinary differential equations with polynomial coefficients as proposed by [1] and used in [2].
References
- Hannes Dänschel and Lukas Lentz. "An Algebraic Representation of the Harmonic Balance Method for Ordinary Differential Equations with Polynomial Coefficients".
- Hannes Dänschel, Lukas Lentz, and Utz von Wagner. "Error Measures and Solution Artifacts of the Harmonic Balance Method on the Example of the Softening Duffing Oscillator". In: Journal of Theoretical and Applied Mechanics 62.2 (Apr. 2024), pp. 435–455. DOI: 10.15632/jtam-pl/186718
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