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Using the well\u2010known finite difference approximation, a numerical solution is computed very quickly.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>The paper gives the truncated error and the approximation error to conclude to the convergence.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The paper shows the fast numerical solution leads to confidence in the numerical approximations for the comprehension of the phenomenon. Extends the corona\u2010electrostatic electric field for granular mixture separation to new geometries easily.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920910962650","type":"journal-article","created":{"date-parts":[[2009,7,4]],"date-time":"2009-07-04T07:03:20Z","timestamp":1246691000000},"page":"762-779","source":"Crossref","is-referenced-by-count":1,"title":["New results on the approximate solution of the non\u2010linear partial derivative equation system of corona\u2010electrostatic separation"],"prefix":"10.1108","volume":"38","author":[{"given":"Armand","family":"Caron","sequence":"first","affiliation":[]}],"member":"140","reference":[{"key":"key2022020520200030900_b1","doi-asserted-by":"crossref","unstructured":"Abdel\u2010Salam, M. and Al\u2010Hamouz, Z. 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