{"id":"https://openalex.org/W2466526135","doi":"https://doi.org/10.1080/00207160.2015.1070839","title":"Weak form quadrature solution of 2<i>m</i>th-order Fredholm integro-differential equations","display_name":"Weak form quadrature solution of 2<i>m</i>th-order Fredholm integro-differential equations","publication_year":2015,"publication_date":"2015-07-09","ids":{"openalex":"https://openalex.org/W2466526135","doi":"https://doi.org/10.1080/00207160.2015.1070839","mag":"2466526135"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1070839","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1070839","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/A5005525255","display_name":"Mengwu Guo","orcid":"https://orcid.org/0000-0002-5541-437X"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengwu Guo","raw_affiliation_strings":["Department of Civil Engineering, Tsinghua University, Beijing 100084, China"],"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046403897","display_name":"Hongzhi Zhong","orcid":"https://orcid.org/0000-0002-4641-3615"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongzhi Zhong","raw_affiliation_strings":["Department of Civil Engineering, Tsinghua University, Beijing 100084, China"],"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046403897"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.2393,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62616487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"93","issue":"10","first_page":"1650","last_page":"1664"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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":0.9973999857902527,"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/T10514","display_name":"Numerical methods in engineering","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8250789642333984},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.8190445899963379},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.6956183910369873},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6586145758628845},{"id":"https://openalex.org/keywords/gauss\u2013kronrod-quadrature-formula","display_name":"Gauss\u2013Kronrod quadrature formula","score":0.6539493799209595},{"id":"https://openalex.org/keywords/fredholm-theory","display_name":"Fredholm theory","score":0.6352847218513489},{"id":"https://openalex.org/keywords/clenshaw\u2013curtis-quadrature","display_name":"Clenshaw\u2013Curtis quadrature","score":0.6102597713470459},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5778794884681702},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5716262459754944},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.534372866153717},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5233941674232483},{"id":"https://openalex.org/keywords/gauss\u2013jacobi-quadrature","display_name":"Gauss\u2013Jacobi quadrature","score":0.5161691308021545},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.46570828557014465},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.35074055194854736},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3376595973968506},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1490374505519867}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8250789642333984},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.8190445899963379},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.6956183910369873},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6586145758628845},{"id":"https://openalex.org/C14103991","wikidata":"https://www.wikidata.org/wiki/Q5527852","display_name":"Gauss\u2013Kronrod quadrature formula","level":4,"score":0.6539493799209595},{"id":"https://openalex.org/C518188847","wikidata":"https://www.wikidata.org/wiki/Q4455098","display_name":"Fredholm theory","level":4,"score":0.6352847218513489},{"id":"https://openalex.org/C172657837","wikidata":"https://www.wikidata.org/wiki/Q5131618","display_name":"Clenshaw\u2013Curtis quadrature","level":5,"score":0.6102597713470459},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5778794884681702},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5716262459754944},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.534372866153717},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5233941674232483},{"id":"https://openalex.org/C54691486","wikidata":"https://www.wikidata.org/wiki/Q5527851","display_name":"Gauss\u2013Jacobi quadrature","level":5,"score":0.5161691308021545},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.46570828557014465},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.35074055194854736},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3376595973968506},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1490374505519867},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1070839","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1070839","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":[{"id":"https://openalex.org/G7688574416","display_name":null,"funder_award_id":"No. 51178247,No. 51378294","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W395181431","https://openalex.org/W592368443","https://openalex.org/W1520375215","https://openalex.org/W1964763432","https://openalex.org/W1965600272","https://openalex.org/W1965914486","https://openalex.org/W1967019596","https://openalex.org/W1973802023","https://openalex.org/W1974924908","https://openalex.org/W1987909038","https://openalex.org/W1988931444","https://openalex.org/W1989764105","https://openalex.org/W1998044687","https://openalex.org/W1998405864","https://openalex.org/W1999430929","https://openalex.org/W2002494740","https://openalex.org/W2008698031","https://openalex.org/W2009630472","https://openalex.org/W2010123214","https://openalex.org/W2019450558","https://openalex.org/W2022814465","https://openalex.org/W2026963128","https://openalex.org/W2028936673","https://openalex.org/W2034228208","https://openalex.org/W2038588076","https://openalex.org/W2040325533","https://openalex.org/W2041523977","https://openalex.org/W2046959746","https://openalex.org/W2055175671","https://openalex.org/W2056542309","https://openalex.org/W2057303584","https://openalex.org/W2060315645","https://openalex.org/W2062503449","https://openalex.org/W2070989795","https://openalex.org/W2074431507","https://openalex.org/W2074570251","https://openalex.org/W2085063499","https://openalex.org/W2087006029","https://openalex.org/W2087173651","https://openalex.org/W2094360884","https://openalex.org/W2098423947","https://openalex.org/W2122341206","https://openalex.org/W2129805707","https://openalex.org/W2140804801","https://openalex.org/W2144284349","https://openalex.org/W2148474763","https://openalex.org/W2316353438","https://openalex.org/W2476507202","https://openalex.org/W2934526567","https://openalex.org/W3204708751","https://openalex.org/W4205634890","https://openalex.org/W4245139583","https://openalex.org/W4247375400"],"related_works":["https://openalex.org/W2289189603","https://openalex.org/W1661554543","https://openalex.org/W2148120208","https://openalex.org/W2765175526","https://openalex.org/W4205354206","https://openalex.org/W2167506317","https://openalex.org/W2079657626","https://openalex.org/W2085430647","https://openalex.org/W3198766035","https://openalex.org/W2466526135"],"abstract_inverted_index":{"A":[0,18],"method":[1],"is":[2],"proposed":[3,60],"for":[4],"the":[5,31,37,52,59],"solution":[6],"of":[7,10,20,27,41,58],"boundary-value":[8],"problems":[9],"linear":[11],"and":[12,30,54],"non-linear":[13],"2mth-order":[14],"Fredholm":[15,43],"integro-differential":[16,44],"equations.":[17],"set":[19],"algebraic":[21],"equations":[22],"are":[23,48],"obtained":[24],"after":[25],"introduction":[26],"Gauss\u2013Lobatto":[28],"quadrature":[29,34],"generalized":[32],"differential":[33],"analog":[35],"into":[36],"weak":[38],"form":[39],"description":[40],"a":[42],"equation.":[45],"Numerical":[46],"examples":[47],"presented":[49],"to":[50],"demonstrate":[51],"reliability":[53],"high":[55],"computational":[56],"efficiency":[57],"method.":[61]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
