{"id":"https://openalex.org/W1980308742","doi":"https://doi.org/10.1108/03684920910991568","title":"Sextic B\u2010spline collocation method for the modified Burgers' equation","display_name":"Sextic B\u2010spline collocation method for the modified Burgers' equation","publication_year":2009,"publication_date":"2009-10-16","ids":{"openalex":"https://openalex.org/W1980308742","doi":"https://doi.org/10.1108/03684920910991568","mag":"1980308742"},"language":"en","primary_location":{"id":"doi:10.1108/03684920910991568","is_oa":false,"landing_page_url":"https://doi.org/10.1108/03684920910991568","pdf_url":null,"source":{"id":"https://openalex.org/S168682784","display_name":"Kybernetes","issn_l":"0368-492X","issn":["0368-492X","1758-7883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetes","raw_type":"journal-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/A5035184668","display_name":"Dursun Irk","orcid":"https://orcid.org/0000-0002-3340-1578"},"institutions":[{"id":"https://openalex.org/I51209816","display_name":"Eski\u015fehir Osmangazi University","ror":"https://ror.org/01dzjez04","country_code":"TR","type":"education","lineage":["https://openalex.org/I51209816"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Dursun Irk","raw_affiliation_strings":["Mathematics and Computer Sciences Department, Eski\u015fehir Osmangazi University, Eski\u015fehir, Turkey"],"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Sciences Department, Eski\u015fehir Osmangazi University, Eski\u015fehir, Turkey","institution_ids":["https://openalex.org/I51209816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035184668"],"corresponding_institution_ids":["https://openalex.org/I51209816"],"apc_list":null,"apc_paid":null,"fwci":0.4808,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.6287555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"38","issue":"9","first_page":"1599","last_page":"1620"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.994700014591217,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9825999736785889,"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/burgers-equation","display_name":"Burgers' equation","score":0.8270566463470459},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7431148290634155},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.6605514287948608},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.5253695249557495},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5004420280456543},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47646570205688477},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.4385562539100647},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.43516698479652405},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4009488821029663},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2354816496372223},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.20775574445724487},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1642281413078308},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16206145286560059},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.06068909168243408}],"concepts":[{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.8270566463470459},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7431148290634155},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.6605514287948608},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.5253695249557495},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5004420280456543},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47646570205688477},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.4385562539100647},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.43516698479652405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4009488821029663},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2354816496372223},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.20775574445724487},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1642281413078308},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16206145286560059},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.06068909168243408},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1108/03684920910991568","is_oa":false,"landing_page_url":"https://doi.org/10.1108/03684920910991568","pdf_url":null,"source":{"id":"https://openalex.org/S168682784","display_name":"Kybernetes","issn_l":"0368-492X","issn":["0368-492X","1758-7883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetes","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W374625587","https://openalex.org/W1968910052","https://openalex.org/W1986630655","https://openalex.org/W1990378852","https://openalex.org/W1990445332","https://openalex.org/W2006544749","https://openalex.org/W2016113908","https://openalex.org/W2019459285","https://openalex.org/W2032967253","https://openalex.org/W2033273636","https://openalex.org/W2045384647","https://openalex.org/W2053236924","https://openalex.org/W2058734160","https://openalex.org/W2058781772","https://openalex.org/W2063373597","https://openalex.org/W2065015198","https://openalex.org/W2069754569","https://openalex.org/W2077508415","https://openalex.org/W2078105707","https://openalex.org/W2082718162","https://openalex.org/W2089504086","https://openalex.org/W3021722416","https://openalex.org/W4251733689","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2809358748","https://openalex.org/W2078318892","https://openalex.org/W3157201843","https://openalex.org/W2791210196","https://openalex.org/W1987365920","https://openalex.org/W2047184675","https://openalex.org/W1818835172","https://openalex.org/W322101810","https://openalex.org/W2384941625","https://openalex.org/W2889856026"],"abstract_inverted_index":{"Purpose":[0],"The":[1],"purpose":[2],"of":[3,12],"this":[4],"paper":[5],"is":[6,65,90],"to":[7,47],"investigate":[8],"the":[9,13,33,44,48,62,84],"numerical":[10],"solutions":[11],"Burgers'":[14,17,54,85,88],"and":[15,36,50,68,86],"modified":[16,49,53,87],"equation":[18,89],"using":[19],"sextic":[20,37],"B\u2010spline":[21,38,80],"collocation":[22,81],"method.":[23],"Design/methodology/approach":[24],"Crank\u2010Nicolson":[25],"central":[26],"differencing":[27],"scheme":[28],"has":[29,58],"been":[30,41,59],"used":[31,42],"for":[32,43,83],"time":[34,51],"integration":[35,46],"functions":[39],"have":[40],"space":[45],"splitted":[52],"equation.":[55],"Findings":[56],"It":[57],"found":[60],"that":[61],"proposed":[63],"method":[64,82],"unconditionally":[66],"stable":[67],"obtained":[69],"results":[70],"are":[71],"consistent":[72],"with":[73],"some":[74],"earlier":[75],"published":[76],"studies.":[77],"Originality/value":[78],"Sextic":[79],"given.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
