{"id":"https://openalex.org/W1513889482","doi":"https://doi.org/10.1007/978-3-540-79299-4_9","title":"The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP)","display_name":"The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP)","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1513889482","doi":"https://doi.org/10.1007/978-3-540-79299-4_9","mag":"1513889482"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-79299-4_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79299-4_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5037734805","display_name":"Magdy A. El\u2010Tawil","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Magdy A. El-Tawil","raw_affiliation_strings":["Faculty of Engineering, Engineering Mathematics Department, Cairo University, Giza, Egypt","Cairo University, Faculty of Engineering, Engineering Mathematics Department, Giza, Egypt#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Engineering Mathematics Department, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Cairo University, Faculty of Engineering, Engineering Mathematics Department, Giza, Egypt#TAB#","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037734805"],"corresponding_institution_ids":["https://openalex.org/I145487455"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":9.0435,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.98550725,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"159","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9907000064849854,"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"}},{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.7312666177749634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5205255746841431},{"id":"https://openalex.org/keywords/homotopy-perturbation-method","display_name":"Homotopy perturbation method","score":0.4708309471607208},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.4375390410423279},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.42549845576286316},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3587583899497986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3481941819190979},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25487446784973145},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.05422717332839966}],"concepts":[{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.7312666177749634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5205255746841431},{"id":"https://openalex.org/C91328119","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy perturbation method","level":3,"score":0.4708309471607208},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4375390410423279},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.42549845576286316},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3587583899497986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3481941819190979},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25487446784973145},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.05422717332839966}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-79299-4_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79299-4_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W786686942","https://openalex.org/W1597366448","https://openalex.org/W1970467391","https://openalex.org/W1974264121","https://openalex.org/W1974485641","https://openalex.org/W1976196891","https://openalex.org/W1981126632","https://openalex.org/W1984690595","https://openalex.org/W1985190983","https://openalex.org/W1985432147","https://openalex.org/W1986564530","https://openalex.org/W1997296546","https://openalex.org/W1997858083","https://openalex.org/W1998238501","https://openalex.org/W1999776604","https://openalex.org/W2000836419","https://openalex.org/W2003806194","https://openalex.org/W2004546382","https://openalex.org/W2006686077","https://openalex.org/W2007800318","https://openalex.org/W2014655927","https://openalex.org/W2022276333","https://openalex.org/W2024555025","https://openalex.org/W2029661261","https://openalex.org/W2030620304","https://openalex.org/W2056251223","https://openalex.org/W2066132583","https://openalex.org/W2073673310","https://openalex.org/W2083579872","https://openalex.org/W2085681715","https://openalex.org/W2087226000","https://openalex.org/W2092924103","https://openalex.org/W2106883015","https://openalex.org/W2165917005","https://openalex.org/W2170153582","https://openalex.org/W2290245534","https://openalex.org/W2416704563","https://openalex.org/W2481534330","https://openalex.org/W3021388507","https://openalex.org/W4241751585","https://openalex.org/W4252029633","https://openalex.org/W4254389134","https://openalex.org/W4254879547"],"related_works":["https://openalex.org/W4383100562","https://openalex.org/W175020571","https://openalex.org/W1965919058","https://openalex.org/W1628946225","https://openalex.org/W2323905825","https://openalex.org/W4294204420","https://openalex.org/W2952295687","https://openalex.org/W3083488279","https://openalex.org/W144943869","https://openalex.org/W3097502974"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
