{"id":"https://openalex.org/W1979790163","doi":"https://doi.org/10.1109/icacci.2013.6637381","title":"Numerical solution of breakage population balance equations using differential algebraic equations form","display_name":"Numerical solution of breakage population balance equations using differential algebraic equations form","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W1979790163","doi":"https://doi.org/10.1109/icacci.2013.6637381","mag":"1979790163"},"language":"en","primary_location":{"id":"doi:10.1109/icacci.2013.6637381","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icacci.2013.6637381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on Advances in Computing, Communications and Informatics (ICACCI)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073090404","display_name":"Nageswara Rao Narni","orcid":null},"institutions":[{"id":"https://openalex.org/I46700001","display_name":"Rajiv Gandhi University of Knowledge Technologies","ror":"https://ror.org/01sxsjd59","country_code":"IN","type":"education","lineage":["https://openalex.org/I46700001"]},{"id":"https://openalex.org/I286135121","display_name":"Rajiv Gandhi University of Health Sciences","ror":"https://ror.org/0157vkf66","country_code":"IN","type":"education","lineage":["https://openalex.org/I286135121"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Nageswara Rao Narni","raw_affiliation_strings":["Department of Mathematics, Rajiv Gandhi University of Knowledge Technologies, Hyderabad, India","Dept. of Math., Rajiv Gandhi Univ. of Knowledge Technol., Gachibowli, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rajiv Gandhi University of Knowledge Technologies, Hyderabad, India","institution_ids":["https://openalex.org/I46700001"]},{"raw_affiliation_string":"Dept. of Math., Rajiv Gandhi Univ. of Knowledge Technol., Gachibowli, India","institution_ids":["https://openalex.org/I286135121"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073090404"],"corresponding_institution_ids":["https://openalex.org/I286135121","https://openalex.org/I46700001"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09334872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":null,"first_page":"1384","last_page":"1388"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11188","display_name":"Coagulation and Flocculation Studies","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11188","display_name":"Coagulation and Flocculation Studies","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.7794257998466492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6309624910354614},{"id":"https://openalex.org/keywords/differential-algebraic-geometry","display_name":"Differential algebraic geometry","score":0.6003393530845642},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.5931313633918762},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5269670486450195},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.501563549041748},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49823999404907227},{"id":"https://openalex.org/keywords/backward-differentiation-formula","display_name":"Backward differentiation formula","score":0.4631933569908142},{"id":"https://openalex.org/keywords/simultaneous-equations","display_name":"Simultaneous equations","score":0.45627114176750183},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42606762051582336},{"id":"https://openalex.org/keywords/independent-equation","display_name":"Independent equation","score":0.4245189428329468},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4121733605861664},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.24552607536315918},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12571555376052856}],"concepts":[{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.7794257998466492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6309624910354614},{"id":"https://openalex.org/C26959085","wikidata":"https://www.wikidata.org/wiki/Q5275330","display_name":"Differential algebraic geometry","level":5,"score":0.6003393530845642},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.5931313633918762},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5269670486450195},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.501563549041748},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49823999404907227},{"id":"https://openalex.org/C152522140","wikidata":"https://www.wikidata.org/wiki/Q795746","display_name":"Backward differentiation formula","level":5,"score":0.4631933569908142},{"id":"https://openalex.org/C170036204","wikidata":"https://www.wikidata.org/wiki/Q735660","display_name":"Simultaneous equations","level":3,"score":0.45627114176750183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42606762051582336},{"id":"https://openalex.org/C200602138","wikidata":"https://www.wikidata.org/wiki/Q16979193","display_name":"Independent equation","level":3,"score":0.4245189428329468},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4121733605861664},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24552607536315918},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12571555376052856},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icacci.2013.6637381","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icacci.2013.6637381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on Advances in Computing, Communications and Informatics (ICACCI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1597944220","https://openalex.org/W1968683722","https://openalex.org/W1973608372","https://openalex.org/W1998667631","https://openalex.org/W2004503795","https://openalex.org/W2004529686","https://openalex.org/W2009869965","https://openalex.org/W2059229412","https://openalex.org/W2074314957","https://openalex.org/W2117453669","https://openalex.org/W2124966449","https://openalex.org/W2153132823","https://openalex.org/W4254671851"],"related_works":["https://openalex.org/W2460529040","https://openalex.org/W2076351542","https://openalex.org/W4233392752","https://openalex.org/W2154408554","https://openalex.org/W582636576","https://openalex.org/W2101685990","https://openalex.org/W1520787580","https://openalex.org/W623644139","https://openalex.org/W1983755086","https://openalex.org/W2005692029"],"abstract_inverted_index":{"In":[0,20],"this":[1,21],"paper":[2],"a":[3,29],"new":[4,30],"numerical":[5],"approach":[6,22],"is":[7],"formulated":[8],"to":[9,28],"solve":[10],"the":[11,23,52,57,72],"breakage":[12,24],"population":[13],"balance":[14],"equations":[15,25,34,41,44,64],"along":[16,45],"with":[17,46],"its":[18],"moments.":[19],"are":[26,65],"reformulated":[27],"class":[31],"of":[32,71],"differential":[33,37,43,62],"known":[35],"as":[36,56],"algebraic":[38,47,58,63],"equations.":[39],"These":[40],"involve":[42],"constraints.":[48],"Here":[49],"we":[50],"consider":[51],"moment":[53],"preserving":[54],"constraint":[55],"constraint.":[59],"The":[60],"resulting":[61],"solved":[66],"numerically":[67],"using":[68],"multistep":[69],"methods":[70],"MATLAB":[73],"ODE":[74],"suite.":[75]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
