{"id":"https://openalex.org/W2056882255","doi":"https://doi.org/10.1080/00207160701337829","title":"Pseudospectral integration matrix and boundary value problems","display_name":"Pseudospectral integration matrix and boundary value problems","publication_year":2007,"publication_date":"2007-11-22","ids":{"openalex":"https://openalex.org/W2056882255","doi":"https://doi.org/10.1080/00207160701337829","mag":"2056882255"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701337829","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701337829","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5082683405","display_name":"Elsayed M.E. Elbarbary","orcid":null},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Elsayed M. E. Elbarbary","raw_affiliation_strings":["Department of Mathematics , Faculty of Education, Ain Shams University , Roxy, Hiliopolis, Cairo, Egypt","Department of Mathematics Faculty of Education, Ain Shams University Cairo Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Faculty of Education, Ain Shams University , Roxy, Hiliopolis, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]},{"raw_affiliation_string":"Department of Mathematics Faculty of Education, Ain Shams University Cairo Egypt","institution_ids":["https://openalex.org/I107720978"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082683405"],"corresponding_institution_ids":["https://openalex.org/I107720978"],"apc_list":null,"apc_paid":null,"fwci":0.4177,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.65934672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"84","issue":"12","first_page":"1851","last_page":"1861"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9991000294685364,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9991000294685364,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9955000281333923,"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chebyshev-pseudospectral-method","display_name":"Chebyshev pseudospectral method","score":0.8365424275398254},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7807299494743347},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.6306169629096985},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6189475655555725},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5259832739830017},{"id":"https://openalex.org/keywords/pseudospectral-optimal-control","display_name":"Pseudospectral optimal control","score":0.5257963538169861},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.494870126247406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4913569986820221},{"id":"https://openalex.org/keywords/chebyshev-equation","display_name":"Chebyshev equation","score":0.4548008441925049},{"id":"https://openalex.org/keywords/hagen\u2013poiseuille-equation","display_name":"Hagen\u2013Poiseuille equation","score":0.4499005079269409},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.3245037794113159},{"id":"https://openalex.org/keywords/pseudo-spectral-method","display_name":"Pseudo-spectral method","score":0.2815821170806885},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13745927810668945},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.08500134944915771},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.07392051815986633}],"concepts":[{"id":"https://openalex.org/C122107654","wikidata":"https://www.wikidata.org/wiki/Q5089017","display_name":"Chebyshev pseudospectral method","level":5,"score":0.8365424275398254},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7807299494743347},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.6306169629096985},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6189475655555725},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5259832739830017},{"id":"https://openalex.org/C154304650","wikidata":"https://www.wikidata.org/wiki/Q7255577","display_name":"Pseudospectral optimal control","level":5,"score":0.5257963538169861},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.494870126247406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4913569986820221},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.4548008441925049},{"id":"https://openalex.org/C175336444","wikidata":"https://www.wikidata.org/wiki/Q869854","display_name":"Hagen\u2013Poiseuille equation","level":3,"score":0.4499005079269409},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3245037794113159},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.2815821170806885},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13745927810668945},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.08500134944915771},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.07392051815986633},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701337829","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701337829","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":16,"referenced_works":["https://openalex.org/W1540935623","https://openalex.org/W1971099220","https://openalex.org/W1974138590","https://openalex.org/W1984147483","https://openalex.org/W2010569986","https://openalex.org/W2019424570","https://openalex.org/W2048050098","https://openalex.org/W2058822167","https://openalex.org/W2078316951","https://openalex.org/W2085063499","https://openalex.org/W2108473871","https://openalex.org/W2131236715","https://openalex.org/W2158575547","https://openalex.org/W2166245316","https://openalex.org/W2297327363","https://openalex.org/W2318788438"],"related_works":["https://openalex.org/W2092508320","https://openalex.org/W2601633342","https://openalex.org/W2048207353","https://openalex.org/W2080233518","https://openalex.org/W2355904882","https://openalex.org/W2078380578","https://openalex.org/W2130417219","https://openalex.org/W1991100480","https://openalex.org/W2567936855","https://openalex.org/W2294332207"],"abstract_inverted_index":{"This":[0,9],"paper":[1],"presents":[2],"a":[3,15],"new":[4],"spectral":[5],"successive":[6],"integration":[7],"matrix.":[8],"matrix":[10],"is":[11,54],"used":[12],"to":[13,36,40,45],"construct":[14],"Chebyshev":[16],"expansion":[17],"method":[18,27],"for":[19,50],"the":[20,29,33,41,46,65],"solution":[21],"of":[22,32],"boundary":[23],"value":[24],"problems.":[25],"The":[26,56],"employs":[28],"pseudospectral":[30],"approximation":[31,39],"highest-order":[34],"derivative":[35],"generate":[37],"an":[38],"lower-order":[42],"derivatives.":[43],"Application":[44],"linear":[47],"stability":[48],"problem":[49],"plane":[51],"Poiseuille":[52],"flow":[53],"presented.":[55],"present":[57],"numerical":[58],"results":[59],"are":[60],"in":[61],"satisfactory":[62],"agreement":[63],"with":[64],"exact":[66],"solutions.":[67]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}