{"id":"https://openalex.org/W2010738546","doi":"https://doi.org/10.1016/j.apnum.2013.07.004","title":"A meshless method for the numerical computation of the solution of steady Burgers-type equations","display_name":"A meshless method for the numerical computation of the solution of steady Burgers-type equations","publication_year":2013,"publication_date":"2013-09-13","ids":{"openalex":"https://openalex.org/W2010738546","doi":"https://doi.org/10.1016/j.apnum.2013.07.004","mag":"2010738546"},"language":"en","primary_location":{"id":"doi:10.1016/j.apnum.2013.07.004","doi":"https://doi.org/10.1016/j.apnum.2013.07.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.apnum.2013.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S24251679","display_name":"Applied Numerical Mathematics","issn_l":"0168-9274","issn":["0168-9274","1873-5460"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Numerical Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.12210/121665","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016192214","display_name":"A. Bouhamidi","orcid":"https://orcid.org/0000-0002-5675-7251","observed_orcids":["https://orcid.org/0000-0002-5675-7251","https://orcid.org/0000-0003-0248-5331"]},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Bouhamidi","raw_affiliation_strings":["Universit\u00e9 du Littoral C\u00f4te d\u02bcOpale, LMPA, 50 rue F. Buisson, BP699, F-62228 Calais Cedex, France","Universit\u00e9 du Littoral C\u00f4te dOpale, LMPA, 50 rue F. Buisson, BP699, F-62228 Calais Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te d\u02bcOpale, LMPA, 50 rue F. Buisson, BP699, F-62228 Calais Cedex, France","institution_ids":["https://openalex.org/I2802487185"]},{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te dOpale, LMPA, 50 rue F. Buisson, BP699, F-62228 Calais Cedex, France#TAB#","institution_ids":["https://openalex.org/I2802487185"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005344548","display_name":"M. Hached","orcid":"https://orcid.org/0000-0001-6838-5363","observed_orcids":["https://orcid.org/0000-0001-6838-5363"]},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"M. Hached","raw_affiliation_strings":["IUT A, Universit\u00e9 des Sciences et Technologies de Lille, Laboratoire Painlev\u00e9 UMR 8524, Le Recueil \u2013 Rue de la Recherche \u2013 BP 90179, 59653 Villeneuve d\u02bcAscq Cedex, France","IUT A, Universit\u00e9 des Sciences et Technologies de Lille, Laboratoire Painlev\u00e9 UMR 8524, Le Recueil - Rue de la Recherche - BP 90179, 59653 Villeneuve dAscq Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IUT A, Universit\u00e9 des Sciences et Technologies de Lille, Laboratoire Painlev\u00e9 UMR 8524, Le Recueil \u2013 Rue de la Recherche \u2013 BP 90179, 59653 Villeneuve d\u02bcAscq Cedex, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210145948"]},{"raw_affiliation_string":"IUT A, Universit\u00e9 des Sciences et Technologies de Lille, Laboratoire Painlev\u00e9 UMR 8524, Le Recueil - Rue de la Recherche - BP 90179, 59653 Villeneuve dAscq Cedex, France#TAB#","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210145948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082817740","display_name":"K. Jbilou","orcid":"https://orcid.org/0000-0003-4887-683X","observed_orcids":["https://orcid.org/0000-0003-4887-683X","https://orcid.org/0000-0001-7557-5907"]},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"K. Jbilou","raw_affiliation_strings":["Universit\u00e9 du Littoral C\u00f4te d\u02bcOpale, LMPA, 50 rue F. Buisson, BP699, F-62228 Calais Cedex, France","Universit\u00e9 du Littoral C\u00f4te dOpale, LMPA, 50 rue F. Buisson, BP699, F-62228 Calais Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te d\u02bcOpale, LMPA, 50 rue F. Buisson, BP699, F-62228 Calais Cedex, France","institution_ids":["https://openalex.org/I2802487185"]},{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te dOpale, LMPA, 50 rue F. Buisson, BP699, F-62228 Calais Cedex, France#TAB#","institution_ids":["https://openalex.org/I2802487185"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005344548"],"corresponding_institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210145948"],"apc_list":{"value":2000,"currency":"USD","value_usd":2000},"apc_paid":null,"fwci":1.596,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8007602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"74","issue":null,"first_page":"95","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.00559999980032444,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/meshless-methods","display_name":"meshless methods","score":0.8309999704360962},{"id":"https://openalex.org/keywords/nonlinear-matrix-equations","display_name":"nonlinear matrix equations","score":0.9100000262260437},{"id":"https://openalex.org/keywords/newton-s-method","display_name":"Newton's method","score":0.9089999794960022},{"id":"https://openalex.org/keywords/krylov-subspace-methods","display_name":"Krylov subspace methods","score":0.953000009059906},{"id":"https://openalex.org/keywords/dirichlet-boundary-conditions","display_name":"Dirichlet boundary conditions","score":0.9229999780654907},{"id":"https://openalex.org/keywords/nonlinear-partial-differential-equations","display_name":"nonlinear partial differential equations","score":0.7829999923706055}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8573989868164062},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.6199005246162415},{"id":"https://openalex.org/C177562122","wikidata":"https://www.wikidata.org/wiki/Q7309629","display_name":"Regularized meshless method","level":5,"score":0.5948392748832703},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.5792255997657776},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.5656837224960327},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5338628888130188},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5185332894325256},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5178444981575012},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5052645802497864},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.4507845938205719},{"id":"https://openalex.org/C48395688","wikidata":"https://www.wikidata.org/wiki/Q6823714","display_name":"Method of fundamental solutions","level":5,"score":0.4294522702693939},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4164459705352783},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4123362600803375},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.22296655178070068},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.20869866013526917},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.18304765224456787},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.17573803663253784},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.apnum.2013.07.004","doi":"https://doi.org/10.1016/j.apnum.2013.07.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.apnum.2013.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S24251679","display_name":"Applied Numerical Mathematics","issn_l":"0168-9274","issn":["0168-9274","1873-5460"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Numerical Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04396072v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-04396072","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Numerical Mathematics: an IMACS journal, 2013, 74, pp.95-110. ⟨10.1016/j.apnum.2013.07.004⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/121665","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/121665","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'\u00c9tudes en Civilisations, Langues et Lettres \u00c9trang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/121665","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/121665","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'\u00c9tudes en Civilisations, Langues et Lettres \u00c9trang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W19451620","https://openalex.org/W20057491","https://openalex.org/W26205945","https://openalex.org/W63727357","https://openalex.org/W214272476","https://openalex.org/W626285023","https://openalex.org/W1490039160","https://openalex.org/W1965514893","https://openalex.org/W1990381576","https://openalex.org/W1997430882","https://openalex.org/W2018784891","https://openalex.org/W2030028087","https://openalex.org/W2032731477","https://openalex.org/W2039402388","https://openalex.org/W2041523977","https://openalex.org/W2045422729","https://openalex.org/W2047877145","https://openalex.org/W2051875929","https://openalex.org/W2055528045","https://openalex.org/W2079647362","https://openalex.org/W2092891737","https://openalex.org/W2107699930","https://openalex.org/W2130859329","https://openalex.org/W2493651988","https://openalex.org/W2798909945","https://openalex.org/W2934526567","https://openalex.org/W4213086586","https://openalex.org/W4244829582","https://openalex.org/W4285719527","https://openalex.org/W6601111172"],"related_works":["https://openalex.org/W2021352846","https://openalex.org/W1969691149","https://openalex.org/W1996577984","https://openalex.org/W2585085591","https://openalex.org/W817246485","https://openalex.org/W2183395219","https://openalex.org/W4285164336","https://openalex.org/W2119987856","https://openalex.org/W2092586942","https://openalex.org/W4367293709"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2016-06-24T00:00:00"}