{"id":"https://openalex.org/W2900211005","doi":"https://doi.org/10.1088/1757-899x/423/1/012155","title":"Some Comparisons of the Methods Applied to Solving the First-Order Integro-Differential Equations","display_name":"Some Comparisons of the Methods Applied to Solving the First-Order Integro-Differential Equations","publication_year":2018,"publication_date":"2018-11-07","ids":{"openalex":"https://openalex.org/W2900211005","doi":"https://doi.org/10.1088/1757-899x/423/1/012155","mag":"2900211005"},"language":"en","primary_location":{"id":"doi:10.1088/1757-899x/423/1/012155","doi":"https://doi.org/10.1088/1757-899x/423/1/012155","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1757-899x/423/1/012155","pdf_url":"https://iopscience.iop.org/article/10.1088/1757-899X/423/1/012155/pdf","source":{"id":"https://openalex.org/S4210189194","display_name":"IOP Conference Series Materials Science and Engineering","issn_l":"1757-8981","issn":["1757-8981","1757-899X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IOP Conference Series: Materials Science and Engineering","raw_type":"journal-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://iopscience.iop.org/article/10.1088/1757-899X/423/1/012155/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112316123","display_name":"Galina Mehdiyeva","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I194342707","display_name":"Baku State University","ror":"https://ror.org/054gw3b40","country_code":"AZ","type":"education","lineage":["https://openalex.org/I194342707"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"G Mehdiyeva","raw_affiliation_strings":["Department of the Computational mathematics, Baku State University, Z. Khalilov 23 Azerbaijan, AZ1148"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of the Computational mathematics, Baku State University, Z. Khalilov 23 Azerbaijan, AZ1148","institution_ids":["https://openalex.org/I194342707"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022168158","display_name":"Vagif Ibrahimov","orcid":"https://orcid.org/0000-0002-9148-4711","observed_orcids":["https://orcid.org/0000-0002-9148-4711"]},"institutions":[{"id":"https://openalex.org/I194342707","display_name":"Baku State University","ror":"https://ror.org/054gw3b40","country_code":"AZ","type":"education","lineage":["https://openalex.org/I194342707"]},{"id":"https://openalex.org/I4405285296","display_name":"\u0130dar\u0259etm\u0259 Sisteml\u0259ri \u0130nstitutu","ror":"https://ror.org/055cn3c64","country_code":"AZ","type":"government","lineage":["https://openalex.org/I4210115115","https://openalex.org/I4405271298","https://openalex.org/I4405285296"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"V Ibrahimov","raw_affiliation_strings":["Department of the Computational mathematics, Baku State University, Z. Khalilov 23 Azerbaijan, AZ1148","Institute of Control Systems, Baku, Azerbaijan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of the Computational mathematics, Baku State University, Z. Khalilov 23 Azerbaijan, AZ1148","institution_ids":["https://openalex.org/I194342707"]},{"raw_affiliation_string":"Institute of Control Systems, Baku, Azerbaijan","institution_ids":["https://openalex.org/I4405285296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073333184","display_name":"Mehriban \u0130manova","orcid":"https://orcid.org/0000-0002-5383-8216","observed_orcids":["https://orcid.org/0000-0002-5383-8216"]},"institutions":[{"id":"https://openalex.org/I194342707","display_name":"Baku State University","ror":"https://ror.org/054gw3b40","country_code":"AZ","type":"education","lineage":["https://openalex.org/I194342707"]},{"id":"https://openalex.org/I4405285296","display_name":"\u0130dar\u0259etm\u0259 Sisteml\u0259ri \u0130nstitutu","ror":"https://ror.org/055cn3c64","country_code":"AZ","type":"government","lineage":["https://openalex.org/I4210115115","https://openalex.org/I4405271298","https://openalex.org/I4405285296"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"M Imanova","raw_affiliation_strings":["Department of the Computational mathematics, Baku State University, Z. Khalilov 23 Azerbaijan, AZ1148","Institute of Control Systems, Baku, Azerbaijan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of the Computational mathematics, Baku State University, Z. Khalilov 23 Azerbaijan, AZ1148","institution_ids":["https://openalex.org/I194342707"]},{"raw_affiliation_string":"Institute of Control Systems, Baku, Azerbaijan","institution_ids":["https://openalex.org/I4405285296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1375,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.84120394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"423","issue":null,"first_page":"012155","last_page":"012155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.5679000020027161,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.5679000020027161,"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 Solvers for Ordinary Differential Equations","score":0.4036000072956085,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.010999999940395355,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/volterra-integro-differential-equations","display_name":"Volterra integro-differential equations","score":0.9620000123977661},{"id":"https://openalex.org/keywords/first-order-integro-differential-equations","display_name":"first-order integro-differential equations","score":0.9890000224113464},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"initial value problems","score":0.9580000042915344},{"id":"https://openalex.org/keywords/comparison-of-numerical-methods","display_name":"comparison of numerical methods","score":0.7519999742507935},{"id":"https://openalex.org/keywords/method-selection","display_name":"method selection","score":0.6269999742507935}],"concepts":[{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.6773258447647095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6332826614379883},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.552280068397522},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.5515640377998352},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5240235924720764},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5124845504760742},{"id":"https://openalex.org/C70985411","wikidata":"https://www.wikidata.org/wiki/Q2380676","display_name":"Integro-differential equation","level":4,"score":0.4903004467487335},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.48533788323402405},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.4843069612979889},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.464816153049469},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44079387187957764},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3284494876861572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32513561844825745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29754191637039185},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.2202330231666565},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19660210609436035},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.11305919289588928},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06854775547981262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05532491207122803},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04291623830795288},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1757-899x/423/1/012155","doi":"https://doi.org/10.1088/1757-899x/423/1/012155","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1757-899x/423/1/012155","pdf_url":"https://iopscience.iop.org/article/10.1088/1757-899X/423/1/012155/pdf","source":{"id":"https://openalex.org/S4210189194","display_name":"IOP Conference Series Materials Science and Engineering","issn_l":"1757-8981","issn":["1757-8981","1757-899X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IOP Conference Series: Materials Science and Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/1757-899x/423/1/012155","doi":"https://doi.org/10.1088/1757-899x/423/1/012155","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1757-899x/423/1/012155","pdf_url":"https://iopscience.iop.org/article/10.1088/1757-899X/423/1/012155/pdf","source":{"id":"https://openalex.org/S4210189194","display_name":"IOP Conference Series Materials Science and Engineering","issn_l":"1757-8981","issn":["1757-8981","1757-899X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IOP Conference Series: Materials Science and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2900211005.pdf","grobid_xml":"https://content.openalex.org/works/W2900211005.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W168802472","https://openalex.org/W1456818379","https://openalex.org/W1968193713","https://openalex.org/W1978612347","https://openalex.org/W1988732622","https://openalex.org/W1995294346","https://openalex.org/W1998047432","https://openalex.org/W2013168363","https://openalex.org/W2019230842","https://openalex.org/W2090886631","https://openalex.org/W2185771840","https://openalex.org/W2529992474","https://openalex.org/W2787991034","https://openalex.org/W4392204353"],"related_works":["https://openalex.org/W2035435565","https://openalex.org/W4387822924","https://openalex.org/W4375853755","https://openalex.org/W2902362788","https://openalex.org/W2330125999","https://openalex.org/W1968157980","https://openalex.org/W4226094822","https://openalex.org/W2038699506","https://openalex.org/W2033707211","https://openalex.org/W2951518050"],"abstract_inverted_index":{"There":[0],"are":[1],"some":[2,37],"classes":[3],"of":[4,12,16,22,36,44,47,70],"the":[5,9,13,42,45,48,67,71],"methods":[6,24,39,50],"for":[7,65],"solving":[8,66],"initial-value":[10,68],"problem":[11,69],"integro-differential":[14,73],"equations":[15],"Volterra":[17,72],"type.":[18],"Obviously,":[19],"each":[20],"class":[21],"these":[23],"has":[25],"its":[26],"advantages":[27],"and":[28],"disadvantages.":[29],"Therefore,":[30],"here":[31,56],"we":[32],"consider":[33],"a":[34],"comparison":[35],"known":[38],"by":[40],"which":[41],"region":[43],"application":[46],"certain":[49],"is":[51],"determined.":[52],"The":[53],"results":[54],"obtained":[55],"make":[57],"it":[58],"possible":[59],"to":[60],"choose":[61],"an":[62],"appropriate":[63],"method":[64],"equation.":[74]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2018-11-16T00:00:00"}