{"id":"https://openalex.org/W2736661884","doi":"https://doi.org/10.1007/s00009-017-0973-z","title":"A New Collocation Algorithm for Solving Even-Order Boundary Value Problems via a Novel Matrix Method","display_name":"A New Collocation Algorithm for Solving Even-Order Boundary Value Problems via a Novel Matrix Method","publication_year":2017,"publication_date":"2017-07-25","ids":{"openalex":"https://openalex.org/W2736661884","doi":"https://doi.org/10.1007/s00009-017-0973-z","mag":"2736661884"},"language":"en","primary_location":{"id":"doi:10.1007/s00009-017-0973-z","doi":"https://doi.org/10.1007/s00009-017-0973-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00009-017-0973-z","pdf_url":null,"source":{"id":"https://openalex.org/S28615201","display_name":"Mediterranean Journal of Mathematics","issn_l":"1660-5446","issn":["1660-5446","1660-5454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mediterranean Journal of Mathematics","raw_type":"journal-article"},"volume":null,"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/A5033212344","display_name":"Anna Napoli","orcid":"https://orcid.org/0000-0002-3752-4495","observed_orcids":["https://orcid.org/0000-0002-3752-4495"]},"institutions":[{"id":"https://openalex.org/I45204951","display_name":"University of Calabria","ror":"https://ror.org/02rc97e94","country_code":"IT","type":"education","lineage":["https://openalex.org/I45204951"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Anna Napoli","raw_affiliation_strings":["Department of Mathematics and Computer Sciences, University of Calabria, 87036, Rende, CS, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, University of Calabria, 87036, Rende, CS, Italy","institution_ids":["https://openalex.org/I45204951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014154468","display_name":"Waleed Mohamed Abd-Elhameed","orcid":"https://orcid.org/0000-0002-6102-671X","observed_orcids":["https://orcid.org/0000-0002-6102-671X"]},"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":false,"raw_author_name":"W. M. Abd-Elhameed","raw_affiliation_strings":["Department of Mathematics Faculty of Science, Cairo University, Giza, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Faculty of Science, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033212344"],"corresponding_institution_ids":["https://openalex.org/I45204951"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.3967,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.60512284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"14","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.6758000254631042,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.6758000254631042,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.12080000340938568,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.051500000059604645,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/collocation-method","display_name":"collocation method","score":0.8640000224113464},{"id":"https://openalex.org/keywords/shifted-legendre-polynomials","display_name":"shifted Legendre polynomials","score":0.9120000004768372},{"id":"https://openalex.org/keywords/spectral-methods","display_name":"spectral methods","score":0.7110000252723694},{"id":"https://openalex.org/keywords/harmonic-numbers","display_name":"harmonic numbers","score":0.9559999704360962},{"id":"https://openalex.org/keywords/matrix-method","display_name":"matrix method","score":0.5619999766349792}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8413458466529846},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.7074098587036133},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.7071323990821838},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5969516038894653},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5444951057434082},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4966738820075989},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.4724448323249817},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4642041325569153},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.43043023347854614},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41865837574005127},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.405691534280777},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3244030177593231},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27057886123657227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11185353994369507},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0957927405834198},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00009-017-0973-z","doi":"https://doi.org/10.1007/s00009-017-0973-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00009-017-0973-z","pdf_url":null,"source":{"id":"https://openalex.org/S28615201","display_name":"Mediterranean Journal of Mathematics","issn_l":"1660-5446","issn":["1660-5446","1660-5454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mediterranean Journal of Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:iris.unical.it:20.500.11770/267739","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11770/267739","pdf_url":null,"source":{"id":"https://openalex.org/S4377196898","display_name":"Archive of Doctoral Theses and Digital Collections (University of Calabria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I45204951","host_organization_name":"University of Calabria","host_organization_lineage":["https://openalex.org/I45204951"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W237981118","https://openalex.org/W1154449971","https://openalex.org/W1498706139","https://openalex.org/W1507058911","https://openalex.org/W1912930600","https://openalex.org/W1966045631","https://openalex.org/W1979935436","https://openalex.org/W1983700899","https://openalex.org/W1984605214","https://openalex.org/W1988061917","https://openalex.org/W1988599154","https://openalex.org/W1994859601","https://openalex.org/W2003806194","https://openalex.org/W2022664105","https://openalex.org/W2027716964","https://openalex.org/W2028103955","https://openalex.org/W2029209616","https://openalex.org/W2029665097","https://openalex.org/W2032118198","https://openalex.org/W2034392873","https://openalex.org/W2037290586","https://openalex.org/W2043044931","https://openalex.org/W2055931342","https://openalex.org/W2057275234","https://openalex.org/W2060259501","https://openalex.org/W2070314415","https://openalex.org/W2093771831","https://openalex.org/W2107221565","https://openalex.org/W2109489510","https://openalex.org/W2121099926","https://openalex.org/W2123166168","https://openalex.org/W2143781224","https://openalex.org/W2188454142","https://openalex.org/W2341812859","https://openalex.org/W2408478130","https://openalex.org/W2501645184","https://openalex.org/W2771201465","https://openalex.org/W4298060601","https://openalex.org/W6811224608"],"related_works":["https://openalex.org/W3026179575","https://openalex.org/W2318462232","https://openalex.org/W2068202711","https://openalex.org/W2505315915","https://openalex.org/W2345628033","https://openalex.org/W3033023825","https://openalex.org/W4210767443","https://openalex.org/W4285326990","https://openalex.org/W2959822643","https://openalex.org/W2065496958"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-10-03T13:16:28.481748","created_date":"2025-10-10T00:00:00"}