{"id":"https://openalex.org/W2028290907","doi":"https://doi.org/10.1155/ijmms/2006/46376","title":"Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method","display_name":"Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2028290907","doi":"https://doi.org/10.1155/ijmms/2006/46376","mag":"2028290907"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/46376","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/046376.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2006/046376.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002521303","display_name":"Mehmet Sezer","orcid":"https://orcid.org/0000-0002-7744-2574"},"institutions":[{"id":"https://openalex.org/I79946792","display_name":"Mu\u011fla University","ror":"https://ror.org/05n2cz176","country_code":"TR","type":"education","lineage":["https://openalex.org/I79946792"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mehmet Sezer","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mugla University, Mugla 48000, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mugla University, Mugla 48000, Turkey","institution_ids":["https://openalex.org/I79946792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084660006","display_name":"Mustafa G\u00fclsu","orcid":"https://orcid.org/0000-0001-6139-0266"},"institutions":[{"id":"https://openalex.org/I79946792","display_name":"Mu\u011fla University","ror":"https://ror.org/05n2cz176","country_code":"TR","type":"education","lineage":["https://openalex.org/I79946792"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mustafa G\u00fclsu","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mugla University, Mugla 48000, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mugla University, Mugla 48000, Turkey","institution_ids":["https://openalex.org/I79946792"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1025,"currency":"USD","value_usd":1025,"provenance":"doaj"},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025,"provenance":"doaj"},"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":1,"citation_normalized_percentile":{"value":0.411938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":61,"max":68},"biblio":{"volume":"2006","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995,"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":0.9995,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9932,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9743,"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/coefficient-matrix","display_name":"Coefficient matrix","score":0.6055314},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.59359753},{"id":"https://openalex.org/keywords/fredholm-theory","display_name":"Fredholm theory","score":0.48169526},{"id":"https://openalex.org/keywords/taylors-theorem","display_name":"Taylor's theorem","score":0.44504264},{"id":"https://openalex.org/keywords/characteristic-polynomial","display_name":"Characteristic polynomial","score":0.43516043}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8956455},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.8627356},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.6055314},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.59359753},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.58552635},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.5411306},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48291847},{"id":"https://openalex.org/C518188847","wikidata":"https://www.wikidata.org/wiki/Q4455098","display_name":"Fredholm theory","level":4,"score":0.48169526},{"id":"https://openalex.org/C192523876","wikidata":"https://www.wikidata.org/wiki/Q1137206","display_name":"Taylor's theorem","level":3,"score":0.44504264},{"id":"https://openalex.org/C42321380","wikidata":"https://www.wikidata.org/wiki/Q849705","display_name":"Characteristic polynomial","level":3,"score":0.43516043},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39626688},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.25573882},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06762877},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/46376","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/046376.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/bf38e24f60d94a528ea2373dabd82b4c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/46376","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/046376.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":12,"referenced_works":["https://openalex.org/W1485428557","https://openalex.org/W1528254197","https://openalex.org/W1983044018","https://openalex.org/W1996352702","https://openalex.org/W2010352620","https://openalex.org/W2042003486","https://openalex.org/W2051199209","https://openalex.org/W2068064136","https://openalex.org/W2086475810","https://openalex.org/W2089751944","https://openalex.org/W2139540359","https://openalex.org/W4294541612"],"related_works":["https://openalex.org/W4232973813","https://openalex.org/W2493083010","https://openalex.org/W2224175176","https://openalex.org/W2199927350","https://openalex.org/W2067960113","https://openalex.org/W2046943850","https://openalex.org/W2017640945","https://openalex.org/W2001947234","https://openalex.org/W1996307510","https://openalex.org/W1500488077"],"abstract_inverted_index":{"A":[0],"Taylor":[1,29,50,60,69],"matrix":[2,46,57],"method":[3,32],"is":[4,72],"developed":[5],"to":[6,45],"find":[7],"an":[8],"approximate":[9],"solution":[10],"of":[11,28,54],"the":[12,23,34,42,55,59,67,79],"most":[13],"general":[14,36],"linear":[15,37],"Fredholm":[16,38],"integrodifferential\u2010difference":[17,39],"equations":[18,40,47],"with":[19,48],"variable":[20],"coefficients":[21,61],"under":[22],"mixed":[24,43],"conditions":[25,44],"in":[26],"terms":[27],"polynomials.":[30],"This":[31],"transforms":[33],"given":[35],"and":[41,78],"unknown":[49],"coefficients.":[51],"By":[52],"means":[53],"obtained":[56],"equations,":[58],"can":[62],"be":[63],"easily":[64],"computed.":[65],"Hence,":[66],"finite":[68],"series":[70],"approach":[71],"obtained.":[73],"Also,":[74],"examples":[75],"are":[76,81],"presented":[77],"results":[80],"discussed.":[82]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2028290907","counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2024-12-07T22:28:35.295133","created_date":"2016-06-24"}