{"id":"https://openalex.org/W2066985189","doi":"https://doi.org/10.1080/10637199508915515","title":"PARALLEL ALGORITHMS FOR FOURTH-ORDER PARABOLIC EQUATIONS","display_name":"PARALLEL ALGORITHMS FOR FOURTH-ORDER PARABOLIC EQUATIONS","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2066985189","doi":"https://doi.org/10.1080/10637199508915515","mag":"2066985189"},"language":"en","primary_location":{"id":"doi:10.1080/10637199508915515","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199508915515","pdf_url":null,"source":{"id":"https://openalex.org/S89732838","display_name":"Parallel algorithms and applications","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","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/A5069535361","display_name":"M. A. Arigu","orcid":null},"institutions":[{"id":"https://openalex.org/I189462010","display_name":"Universiti Brunei Darussalam","ror":"https://ror.org/02qnf3n86","country_code":"BN","type":"education","lineage":["https://openalex.org/I189462010"]},{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]}],"countries":["BN","GB"],"is_corresponding":false,"raw_author_name":"M. A. ARIGU","raw_affiliation_strings":["Department of Mathematics and Statistics , Brunei University , Uxbridge, Middlesex, England , UBS 3PH","*Brunel University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Brunei University , Uxbridge, Middlesex, England , UBS 3PH","institution_ids":["https://openalex.org/I189462010"]},{"raw_affiliation_string":"*Brunel University","institution_ids":["https://openalex.org/I59433898"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109129940","display_name":"E. H. Twizell","orcid":null},"institutions":[{"id":"https://openalex.org/I189462010","display_name":"Universiti Brunei Darussalam","ror":"https://ror.org/02qnf3n86","country_code":"BN","type":"education","lineage":["https://openalex.org/I189462010"]},{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]}],"countries":["BN","GB"],"is_corresponding":false,"raw_author_name":"E. H. TWIZELL","raw_affiliation_strings":["Department of Mathematics and Statistics , Brunei University , Uxbridge, Middlesex, England , UBS 3PH","*Brunel University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Brunei University , Uxbridge, Middlesex, England , UBS 3PH","institution_ids":["https://openalex.org/I189462010"]},{"raw_affiliation_string":"*Brunel University","institution_ids":["https://openalex.org/I59433898"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039105083","display_name":"Abba B. Gumel","orcid":"https://orcid.org/0000-0002-8413-1248"},"institutions":[{"id":"https://openalex.org/I189462010","display_name":"Universiti Brunei Darussalam","ror":"https://ror.org/02qnf3n86","country_code":"BN","type":"education","lineage":["https://openalex.org/I189462010"]},{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]}],"countries":["BN","GB"],"is_corresponding":false,"raw_author_name":"A. B. GUMEL","raw_affiliation_strings":["Department of Mathematics and Statistics , Brunei University , Uxbridge, Middlesex, England , UBS 3PH","*Brunel University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Brunei University , Uxbridge, Middlesex, England , UBS 3PH","institution_ids":["https://openalex.org/I189462010"]},{"raw_affiliation_string":"*Brunel University","institution_ids":["https://openalex.org/I59433898"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.25175439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"4","first_page":"273","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9986000061035156,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983999729156494,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9958999752998352,"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/mathematics","display_name":"Mathematics","score":0.5495752096176147},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5320649743080139},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4732440412044525},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4706888496875763},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.44114652276039124},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43020838499069214},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4154040813446045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4144977033138275},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.319286584854126},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1809024214744568}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5495752096176147},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5320649743080139},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4732440412044525},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4706888496875763},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.44114652276039124},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43020838499069214},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4154040813446045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4144977033138275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.319286584854126},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1809024214744568},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10637199508915515","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199508915515","pdf_url":null,"source":{"id":"https://openalex.org/S89732838","display_name":"Parallel algorithms and applications","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","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":9,"referenced_works":["https://openalex.org/W1968929471","https://openalex.org/W1979796623","https://openalex.org/W1997940224","https://openalex.org/W2023933121","https://openalex.org/W2051439967","https://openalex.org/W2066876664","https://openalex.org/W2105721595","https://openalex.org/W2477931004","https://openalex.org/W2600959380"],"related_works":["https://openalex.org/W1508692582","https://openalex.org/W3214346900","https://openalex.org/W3108245573","https://openalex.org/W2044899742","https://openalex.org/W2370399136","https://openalex.org/W4318999801","https://openalex.org/W2896088186","https://openalex.org/W2375103940","https://openalex.org/W2133690079","https://openalex.org/W2111215486"],"abstract_inverted_index":{"Parallel":[0],"numerical":[1],"algorithms":[2,13],"are":[3,14],"presented":[4],"for":[5],"the":[6],"solution":[7],"of":[8],"Fourth-order":[9],"parabolic":[10],"equations.":[11],"The":[12],"tested":[15],"on":[16],"three":[17],"problems":[18],"with":[19],"time-dependent":[20],"and":[21],"time-independent":[22],"boundary":[23],"conditions.":[24]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
