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Numerical solution of Rothenberg's equation of the glottal airflow rate as a function of the glottal area using backward differentiation (L)
- Source :
- The Journal of the Acoustical Society of America. 150:706-708
- Publication Year :
- 2021
- Publisher :
- Acoustical Society of America (ASA), 2021.
-
Abstract
- This letter shows the application of backward differentiation formulas to solve a differential equation by Rothenberg [(1981). Department for Speech, Music and Hearing Quarterly Progress and Status Report (KTH Royal Institute of Technology, Stockholm, Sweden), Vol. 22], which models the glottal airflow rate vs the glottal area. The formulas avoid a singularity of the equation that occurs when the glottal area is zero and that prevents the application of Runge-Kutta and other numerical methods. They can also be used when the equation is augmented with a glottal air viscosity term to eliminate non-differentiability at glottal opening and closure.
Details
- ISSN :
- 00014966
- Volume :
- 150
- Database :
- OpenAIRE
- Journal :
- The Journal of the Acoustical Society of America
- Accession number :
- edsair.doi.dedup.....679d4c4334ab2fd570a9ab1b02337069