{"id":"https://openalex.org/W4414819378","doi":"https://doi.org/10.35378/gujs.1915294","title":"On the Solutions of Bratu-Type Equation via the Yang Transform Adomian Decomposition Method","display_name":"On the Solutions of Bratu-Type Equation via the Yang Transform Adomian Decomposition Method","publication_year":2026,"publication_date":"2026-11-08","ids":{"openalex":"https://openalex.org/W4414819378","doi":"https://doi.org/10.35378/gujs.1915294"},"language":"en","primary_location":{"id":"doi:10.35378/gujs.1915294","doi":"https://doi.org/10.35378/gujs.1915294","is_oa":true,"landing_page_url":"https://doi.org/10.35378/gujs.1915294","pdf_url":"https://dergipark.org.tr/en/download/article-file/5841843","source":{"id":"https://openalex.org/S4210223673","display_name":"GAZI UNIVERSITY JOURNAL OF SCIENCE","issn_l":"1303-9709","issn":["1303-9709","2147-1762"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","poland-20","russia-white-list-3","tr-dizin"],"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":"GAZI UNIVERSITY JOURNAL OF SCIENCE","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/5841843","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028899956","display_name":"Mehmet Merdan","orcid":"https://orcid.org/0000-0002-8509-3044","observed_orcids":["https://orcid.org/0000-0002-8509-3044"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"mehmet merdan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Mustafa  Ahmed Ali","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mustafa  Ahmed Ali","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5028899956"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00786092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":"Advanced Online Publication","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9121000170707703,"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":0.9121000170707703,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.024000000208616257,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.021299999207258224,"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/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.9980000257492065},{"id":"https://openalex.org/keywords/nonlinear-differential-equations","display_name":"nonlinear differential equations","score":0.8450000286102295},{"id":"https://openalex.org/keywords/adomian-polynomials","display_name":"Adomian polynomials","score":0.8610000014305115},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.7419999837875366},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"initial value problems","score":0.7239999771118164},{"id":"https://openalex.org/keywords/rapidly-convergent-series","display_name":"rapidly convergent series","score":0.7760000228881836}],"concepts":[{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.5177000164985657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5146999955177307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48559999465942383},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46639999747276306},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26980000734329224},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.26080000400543213},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2596000134944916}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.35378/gujs.1915294","doi":"https://doi.org/10.35378/gujs.1915294","is_oa":true,"landing_page_url":"https://doi.org/10.35378/gujs.1915294","pdf_url":"https://dergipark.org.tr/en/download/article-file/5841843","source":{"id":"https://openalex.org/S4210223673","display_name":"GAZI UNIVERSITY JOURNAL OF SCIENCE","issn_l":"1303-9709","issn":["1303-9709","2147-1762"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","poland-20","russia-white-list-3","tr-dizin"],"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":"GAZI UNIVERSITY JOURNAL OF SCIENCE","raw_type":"journal-article"},{"id":"doi:10.2139/ssrn.5564687","doi":"https://doi.org/10.2139/ssrn.5564687","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5564687","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.35378/gujs.1915294","doi":"https://doi.org/10.35378/gujs.1915294","is_oa":true,"landing_page_url":"https://doi.org/10.35378/gujs.1915294","pdf_url":"https://dergipark.org.tr/en/download/article-file/5841843","source":{"id":"https://openalex.org/S4210223673","display_name":"GAZI UNIVERSITY JOURNAL OF SCIENCE","issn_l":"1303-9709","issn":["1303-9709","2147-1762"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","poland-20","russia-white-list-3","tr-dizin"],"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":"GAZI UNIVERSITY JOURNAL OF SCIENCE","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/W4414819378.pdf","grobid_xml":"https://content.openalex.org/works/W4414819378.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1987980724","https://openalex.org/W1988718687","https://openalex.org/W2019591248","https://openalex.org/W2042782183","https://openalex.org/W2079388305","https://openalex.org/W2091083132","https://openalex.org/W2104500275","https://openalex.org/W2167040922","https://openalex.org/W2176867819","https://openalex.org/W2281256618","https://openalex.org/W2514515111","https://openalex.org/W2521146637","https://openalex.org/W2596192043","https://openalex.org/W2611501776","https://openalex.org/W2941161601","https://openalex.org/W2948897974","https://openalex.org/W3094888943","https://openalex.org/W3141960679","https://openalex.org/W4210816620","https://openalex.org/W4211125052","https://openalex.org/W4229372237","https://openalex.org/W4255843801","https://openalex.org/W4302425312","https://openalex.org/W4313586745","https://openalex.org/W4377194127","https://openalex.org/W4381328837","https://openalex.org/W4389505785","https://openalex.org/W4391925460","https://openalex.org/W4401653100","https://openalex.org/W4402923237","https://openalex.org/W4409521613","https://openalex.org/W4409691678","https://openalex.org/W4410506328","https://openalex.org/W4412945626","https://openalex.org/W7139973157","https://openalex.org/W7160965915"],"related_works":["https://openalex.org/W2091083132","https://openalex.org/W4388115482","https://openalex.org/W4224314367","https://openalex.org/W2604625038","https://openalex.org/W1992057522","https://openalex.org/W2185223871","https://openalex.org/W2509698291","https://openalex.org/W7165033689","https://openalex.org/W2019002246","https://openalex.org/W4255843801"],"abstract_inverted_index":{"In":[0],"this":[1,90],"work,":[2],"the":[3,13,23,27,33,40,64,68,74,79,83],"analytical":[4],"solution":[5,34],"of":[6,35,42,101],"nonlinear":[7,53,65,103],"Bratu-type":[8],"equations":[9,54],"is":[10],"investigated":[11],"using":[12,78],"Yang":[14,24],"Transform":[15],"Adomian":[16,28,58],"Decomposition":[17],"Method":[18],"(YTADM).":[19],"The":[20,70],"method":[21,30,47,81,91,100],"combines":[22],"transform":[25],"with":[26,55,86],"decomposition":[29],"to":[31,51,62,94],"find":[32],"a":[36],"given":[37],"problem":[38],"in":[39,67],"form":[41],"rapidly":[43],"convergent":[44],"series.":[45],"This":[46],"has":[48],"been":[49],"applied":[50],"several":[52],"initial":[56],"conditions.":[57],"polynomials":[59],"are":[60],"used":[61],"handle":[63],"terms":[66],"equations.":[69,105],"results":[71],"show":[72],"that":[73],"approximate":[75],"solutions":[76,85],"obtained":[77],"YTADM":[80],"match":[82],"exact":[84],"minimum":[87],"error.":[88],"Thus,":[89],"proves":[92],"itself":[93],"be":[95],"an":[96],"efficient":[97],"and":[98],"accurate":[99],"solving":[102],"differential":[104]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2025-10-10T00:00:00"}
