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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.<\/jats:p>","DOI":"10.1121\/10.0005755","type":"journal-article","created":{"date-parts":[[2021,8,2]],"date-time":"2021-08-02T17:47:42Z","timestamp":1627926462000},"page":"706-708","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Numerical solution of Rothenberg's equation of the glottal airflow rate as a function of the glottal area using backward differentiation (L)"],"prefix":"10.1121","volume":"150","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0597-3808","authenticated-orcid":false,"given":"Jorge C.","family":"Lucero","sequence":"first","affiliation":[{"name":"Department of Computer Science, University of Bras\u00edlia , Bras\u00edlia 70910-900, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"231","published-online":{"date-parts":[[2021,8,2]]},"reference":[{"issue":"3","key":"2023071703554688500_c1","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1016\/0167-6393(82)90015-2","article-title":"Calculation of true glottal flow and its components","volume":"1","year":"1982","journal-title":"Speech Commun."},{"first-page":"1","article-title":"Synthesis of diplophonic and biphonic voices","year":"2015","key":"2023071703554688500_c2"},{"year":"1985","key":"2023071703554688500_c3","article-title":"A four-parameter model of glottal flow"},{"issue":"5","key":"2023071703554688500_c4","doi-asserted-by":"publisher","first-page":"2970","DOI":"10.1121\/1.4919297","article-title":"Smoothness of an equation for the glottal flow rate versus the glottal area","volume":"137","year":"2015","journal-title":"J. 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