{"id":"https://openalex.org/W2803582287","doi":"https://doi.org/10.25092/baunfbed.423145","title":"Applications of differential transformation method to solve systems of ordinary and partial differential equations","display_name":"Applications of differential transformation method to solve systems of ordinary and partial differential equations","publication_year":2018,"publication_date":"2018-05-12","ids":{"openalex":"https://openalex.org/W2803582287","doi":"https://doi.org/10.25092/baunfbed.423145","mag":"2803582287"},"language":"en","primary_location":{"id":"doi:10.25092/baunfbed.423145","doi":"https://doi.org/10.25092/baunfbed.423145","is_oa":true,"landing_page_url":"https://doi.org/10.25092/baunfbed.423145","pdf_url":"https://dergipark.org.tr/en/download/article-file/471450","source":{"id":"https://openalex.org/S4306503987","display_name":"Bal\u0131kesir \u00dcniversitesi Fen Bilimleri Enstit\u00fcs\u00fc Dergisi","issn_l":"1301-7985","issn":["1301-7985","2536-5142"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["tr-dizin"],"host_organization":"https://openalex.org/P4310318307","host_organization_name":"Bal\u0131kesir University","host_organization_lineage":["https://openalex.org/P4310318307"],"host_organization_lineage_names":["Bal\u0131kesir University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bal\u0131kesir \u00dcniversitesi Fen Bilimleri Enstit\u00fcs\u00fc Dergisi","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dergipark.org.tr/en/download/article-file/471450","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090385899","display_name":"\u00dcmit Sarp","orcid":"https://orcid.org/0000-0002-1260-785X","observed_orcids":["https://orcid.org/0000-0002-1260-785X"]},"institutions":[{"id":"https://openalex.org/I115600380","display_name":"Bal\u0131kesir University","ror":"https://ror.org/02tv7db43","country_code":"TR","type":"education","lineage":["https://openalex.org/I115600380"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"\u00dcmit SARP","raw_affiliation_strings":["Department of Mathematics, Ca\u011f\u0131\u015f Campus, Bal\u0131kesir, Turkey","Bal\u0131kesir University, Faculty of Arts and Sciences,","verilmi\u015f olup son ba\u015fl\u0131kta uygulamalara yer verilmi\u015ftir"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ca\u011f\u0131\u015f Campus, Bal\u0131kesir, Turkey","institution_ids":["https://openalex.org/I115600380"]},{"raw_affiliation_string":"Bal\u0131kesir University, Faculty of Arts and Sciences,","institution_ids":["https://openalex.org/I115600380"]},{"raw_affiliation_string":"verilmi\u015f olup son ba\u015fl\u0131kta uygulamalara yer verilmi\u015ftir","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044576234","display_name":"F\u0131rat Evirgen","orcid":"https://orcid.org/0000-0002-0798-5004","observed_orcids":["https://orcid.org/0000-0002-0798-5004"]},"institutions":[{"id":"https://openalex.org/I115600380","display_name":"Bal\u0131kesir University","ror":"https://ror.org/02tv7db43","country_code":"TR","type":"education","lineage":["https://openalex.org/I115600380"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"F\u0131rat EV\u0130RGEN","raw_affiliation_strings":["Bal\u0131kesir University, Faculty of Arts and Sciences,","Department of Mathematics, Ca\u011f\u0131\u015f Campus, Bal\u0131kesir, Turkey","verilmi\u015f olup son ba\u015fl\u0131kta uygulamalara yer verilmi\u015ftir"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bal\u0131kesir University, Faculty of Arts and Sciences,","institution_ids":["https://openalex.org/I115600380"]},{"raw_affiliation_string":"Department of Mathematics, Ca\u011f\u0131\u015f Campus, Bal\u0131kesir, Turkey","institution_ids":["https://openalex.org/I115600380"]},{"raw_affiliation_string":"verilmi\u015f olup son ba\u015fl\u0131kta uygulamalara yer verilmi\u015ftir","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035518289","display_name":"Sebahattin \u0130kikarde\u015f","orcid":"https://orcid.org/0000-0003-2924-5397","observed_orcids":["https://orcid.org/0000-0003-2924-5397"]},"institutions":[{"id":"https://openalex.org/I115600380","display_name":"Bal\u0131kesir University","ror":"https://ror.org/02tv7db43","country_code":"TR","type":"education","lineage":["https://openalex.org/I115600380"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Sebahattin \u0130K\u0130KARDE\u015e","raw_affiliation_strings":["Bal\u0131kesir University, Faculty of Arts and Sciences,","Department of Mathematics, Ca\u011f\u0131\u015f Campus, Bal\u0131kesir, Turkey","verilmi\u015f olup son ba\u015fl\u0131kta uygulamalara yer verilmi\u015ftir"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bal\u0131kesir University, Faculty of Arts and Sciences,","institution_ids":["https://openalex.org/I115600380"]},{"raw_affiliation_string":"Department of Mathematics, Ca\u011f\u0131\u015f Campus, Bal\u0131kesir, Turkey","institution_ids":["https://openalex.org/I115600380"]},{"raw_affiliation_string":"verilmi\u015f olup son ba\u015fl\u0131kta uygulamalara yer verilmi\u015ftir","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I115600380"],"apc_list":null,"apc_paid":null,"fwci":0.8616,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.70491803,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"20","issue":"2","first_page":"135","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.43799999356269836,"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":0.43799999356269836,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.3732999861240387,"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 Solvers for Ordinary Differential Equations","score":0.14830000698566437,"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/differential-transform-method","display_name":"differential transform method","score":0.9929999709129333},{"id":"https://openalex.org/keywords/systems-of-ordinary-differential-equations","display_name":"systems of ordinary differential equations","score":0.9700000286102295},{"id":"https://openalex.org/keywords/systems-of-partial-differential-equations","display_name":"systems of partial differential equations","score":0.9629999995231628},{"id":"https://openalex.org/keywords/numerical-solution","display_name":"numerical solution","score":0.8330000042915344}],"concepts":[{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.7055017948150635},{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.6935899257659912},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6325677037239075},{"id":"https://openalex.org/C101487385","wikidata":"https://www.wikidata.org/wiki/Q7451766","display_name":"Separable partial differential equation","level":5,"score":0.5563555359840393},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5382845401763916},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5322791337966919},{"id":"https://openalex.org/C163105828","wikidata":"https://www.wikidata.org/wiki/Q2734005","display_name":"Integrating factor","level":5,"score":0.4830532670021057},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4698537588119507},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.461967408657074},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.46069690585136414},{"id":"https://openalex.org/C33163149","wikidata":"https://www.wikidata.org/wiki/Q1785085","display_name":"Method of characteristics","level":3,"score":0.439519464969635},{"id":"https://openalex.org/C136798861","wikidata":"https://www.wikidata.org/wiki/Q1826712","display_name":"Method of lines","level":5,"score":0.43447184562683105},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.4323655366897583},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38327154517173767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3744122385978699},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.3158109784126282},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.25092/baunfbed.423145","doi":"https://doi.org/10.25092/baunfbed.423145","is_oa":true,"landing_page_url":"https://doi.org/10.25092/baunfbed.423145","pdf_url":"https://dergipark.org.tr/en/download/article-file/471450","source":{"id":"https://openalex.org/S4306503987","display_name":"Bal\u0131kesir \u00dcniversitesi Fen Bilimleri Enstit\u00fcs\u00fc Dergisi","issn_l":"1301-7985","issn":["1301-7985","2536-5142"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["tr-dizin"],"host_organization":"https://openalex.org/P4310318307","host_organization_name":"Bal\u0131kesir University","host_organization_lineage":["https://openalex.org/P4310318307"],"host_organization_lineage_names":["Bal\u0131kesir University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bal\u0131kesir \u00dcniversitesi Fen Bilimleri Enstit\u00fcs\u00fc Dergisi","raw_type":"journal-article"},{"id":"pmh:oai:dergipark.gov.tr:article/423145","doi":null,"is_oa":true,"landing_page_url":"http://dergipark.gov.tr/baunfbed/issue/40025/423145","pdf_url":null,"source":{"id":"https://openalex.org/S4306503987","display_name":"Bal\u0131kesir \u00dcniversitesi Fen Bilimleri Enstit\u00fcs\u00fc Dergisi","issn_l":"1301-7985","issn":["1301-7985","2536-5142"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["tr-dizin"],"host_organization":"https://openalex.org/P4310318307","host_organization_name":"Bal\u0131kesir University","host_organization_lineage":["https://openalex.org/P4310318307"],"host_organization_lineage_names":["Bal\u0131kesir University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\\n Volume: 20, Issue: 2\\n 135-156\\n \\n","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dergipark.org.tr:article/423145","doi":null,"is_oa":true,"landing_page_url":"https://dergipark.org.tr/tr/pub/baunfbed/issue/40025/423145","pdf_url":null,"source":{"id":"https://openalex.org/S4306503987","display_name":"Bal\u0131kesir \u00dcniversitesi Fen Bilimleri Enstit\u00fcs\u00fc Dergisi","issn_l":"1301-7985","issn":["1301-7985","2536-5142"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["tr-dizin"],"host_organization":"https://openalex.org/P4310318307","host_organization_name":"Bal\u0131kesir University","host_organization_lineage":["https://openalex.org/P4310318307"],"host_organization_lineage_names":["Bal\u0131kesir University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.25092/baunfbed.423145","doi":"https://doi.org/10.25092/baunfbed.423145","is_oa":true,"landing_page_url":"https://doi.org/10.25092/baunfbed.423145","pdf_url":"https://dergipark.org.tr/en/download/article-file/471450","source":{"id":"https://openalex.org/S4306503987","display_name":"Bal\u0131kesir \u00dcniversitesi Fen Bilimleri Enstit\u00fcs\u00fc Dergisi","issn_l":"1301-7985","issn":["1301-7985","2536-5142"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["tr-dizin"],"host_organization":"https://openalex.org/P4310318307","host_organization_name":"Bal\u0131kesir University","host_organization_lineage":["https://openalex.org/P4310318307"],"host_organization_lineage_names":["Bal\u0131kesir University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bal\u0131kesir \u00dcniversitesi Fen Bilimleri Enstit\u00fcs\u00fc Dergisi","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/W2803582287.pdf","grobid_xml":"https://content.openalex.org/works/W2803582287.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1633315028","https://openalex.org/W1965101616","https://openalex.org/W1975992439","https://openalex.org/W1977503251","https://openalex.org/W1988705684","https://openalex.org/W1999651452","https://openalex.org/W2007648121","https://openalex.org/W2014380435","https://openalex.org/W2019193369","https://openalex.org/W2036634638","https://openalex.org/W2040753644","https://openalex.org/W2050318146","https://openalex.org/W2052968997","https://openalex.org/W2056933786","https://openalex.org/W2059616151","https://openalex.org/W2081977287","https://openalex.org/W2084466615","https://openalex.org/W2086488349","https://openalex.org/W2086836421","https://openalex.org/W2093651704","https://openalex.org/W2093983952","https://openalex.org/W2110326143","https://openalex.org/W2166855174","https://openalex.org/W2763163685","https://openalex.org/W2766008418","https://openalex.org/W2773353986","https://openalex.org/W2789619633","https://openalex.org/W2795839441"],"related_works":["https://openalex.org/W2187756049","https://openalex.org/W2045019594","https://openalex.org/W7217337035","https://openalex.org/W4399449860","https://openalex.org/W2336974215","https://openalex.org/W7147739387","https://openalex.org/W2183654306","https://openalex.org/W2028785883","https://openalex.org/W3173886371","https://openalex.org/W2570390864"],"abstract_inverted_index":{"In":[0,72],"this":[1],"study,":[2],"the":[3,20,60,73,81],"numerical":[4,31,92],"solutions":[5,28,90],"of":[6,9,29,63,91],"some":[7,40],"systems":[8],"ordinary":[10,41],"and":[11,25,42,56,68,85],"partial":[12,43],"differential":[13,44,82],"equations":[14,45],"have":[15],"been":[16],"analyzed":[17],"by":[18,50,79],"using":[19,51,80],"Differential":[21,65],"Transformation":[22,66],"Method":[23,67],"(DTM)":[24],"compared":[26,87],"with":[27,88],"other":[30,89],"methods":[32],".This":[33],"method":[34,84],"can":[35],"be":[36],"used":[37],"to":[38],"solve":[39],"in":[46],"a":[47],"short":[48],"time":[49],"very":[52],"simple":[53],"computer":[54],"commands":[55],"codes.":[57],"First":[58],"chapter,":[59,75],"basic":[61],"definition":[62],"its":[64],"properties":[69],"are":[70,77,86],"given.":[71],"last":[74],"examples":[76],"solved":[78],"transformation":[83],"methods.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2018-06-01T00:00:00"}
