{"id":"https://openalex.org/W2255388018","doi":"https://doi.org/10.1007/978-3-642-16339-5_43","title":"B-Spline Method for Solving Boundary Value Problems of Linear Ordinary Differential Equations","display_name":"B-Spline Method for Solving Boundary Value Problems of Linear Ordinary Differential Equations","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2255388018","doi":"https://doi.org/10.1007/978-3-642-16339-5_43","mag":"2255388018"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-16339-5_43","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-16339-5_43","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"Communications in Computer and Information 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/A5073389192","display_name":"Jincai Chang","orcid":"https://orcid.org/0000-0002-5605-2032"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jincai Chang","raw_affiliation_strings":["College of Science, Hebei Polytechnic University, Tangshan, 063009, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Hebei Polytechnic University, Tangshan, 063009, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086429544","display_name":"Qianli Yang","orcid":"https://orcid.org/0000-0003-4226-2319"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qianli Yang","raw_affiliation_strings":["College of Science, Hebei Polytechnic University, Tangshan, 063009, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Hebei Polytechnic University, Tangshan, 063009, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100631260","display_name":"Chunfeng Liu","orcid":"https://orcid.org/0000-0001-8155-183X"},"institutions":[{"id":"https://openalex.org/I4210115299","display_name":"TED University","ror":"https://ror.org/0285rh439","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210115299"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Chunfeng Liu","raw_affiliation_strings":["College of Science, Hebei Polytechnic University, Tangshan, 063009, China","College of sciences, He\u2019Bei polytechnic University, 063000, Tangshan, Hebei, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Hebei Polytechnic University, Tangshan, 063009, China","institution_ids":[]},{"raw_affiliation_string":"College of sciences, He\u2019Bei polytechnic University, 063000, Tangshan, Hebei, China","institution_ids":["https://openalex.org/I4210115299"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073389192"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2664,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87924282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"326","last_page":"333"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9925000071525574,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9901000261306763,"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/ode","display_name":"Ode","score":0.6441829204559326},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6284944415092468},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.6118948459625244},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5637893676757812},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.560226559638977},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5448172092437744},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5351890325546265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48443272709846497},{"id":"https://openalex.org/keywords/linear-differential-equation","display_name":"Linear differential equation","score":0.447157084941864},{"id":"https://openalex.org/keywords/shooting-method","display_name":"Shooting method","score":0.42520660161972046},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.42013996839523315},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40030309557914734},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.30543041229248047},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.23646476864814758},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14052239060401917},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06714528799057007}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6441829204559326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6284944415092468},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.6118948459625244},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5637893676757812},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.560226559638977},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5448172092437744},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5351890325546265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48443272709846497},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.447157084941864},{"id":"https://openalex.org/C4195266","wikidata":"https://www.wikidata.org/wiki/Q1749769","display_name":"Shooting method","level":3,"score":0.42520660161972046},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.42013996839523315},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40030309557914734},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.30543041229248047},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.23646476864814758},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14052239060401917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06714528799057007},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-16339-5_43","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-16339-5_43","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"Communications in Computer and Information Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1965095315","https://openalex.org/W1974529299","https://openalex.org/W1980128768","https://openalex.org/W1997141357","https://openalex.org/W2019569444","https://openalex.org/W2031398765","https://openalex.org/W2057925910","https://openalex.org/W2114502388","https://openalex.org/W4251682376","https://openalex.org/W4300527817"],"related_works":["https://openalex.org/W1981039615","https://openalex.org/W1690623585","https://openalex.org/W2499055041","https://openalex.org/W4243970242","https://openalex.org/W1949299996","https://openalex.org/W3123557714","https://openalex.org/W2964021668","https://openalex.org/W2375026377","https://openalex.org/W2803349715","https://openalex.org/W2059465695"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}