{"id":"https://openalex.org/W2035345685","doi":"https://doi.org/10.1007/s00521-012-1261-2","title":"Numerical treatment for solving one-dimensional Bratu problem using neural networks","display_name":"Numerical treatment for solving one-dimensional Bratu problem using neural networks","publication_year":2012,"publication_date":"2012-11-08","ids":{"openalex":"https://openalex.org/W2035345685","doi":"https://doi.org/10.1007/s00521-012-1261-2","mag":"2035345685"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-012-1261-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-012-1261-2","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing 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/A5100740838","display_name":"Muhammad Asif Zahoor Raja","orcid":"https://orcid.org/0000-0001-9953-822X"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]},{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Asif Zahoor Raja","raw_affiliation_strings":["Centre of Computational Intelligence, PO Box 2300, Islamabad, Pakistan","Department of Electrical Engineering, COMSATS Institute of Information Technology, Attock, Pakistan","Department of Electronic Engineering, International Islamic University, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Centre of Computational Intelligence, PO Box 2300, Islamabad, Pakistan","institution_ids":[]},{"raw_affiliation_string":"Department of Electrical Engineering, COMSATS Institute of Information Technology, Attock, Pakistan","institution_ids":["https://openalex.org/I16076960"]},{"raw_affiliation_string":"Department of Electronic Engineering, International Islamic University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I121243025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024697149","display_name":"Siraj-ul-Islam Ahmad","orcid":"https://orcid.org/0000-0002-0042-6584"},"institutions":[{"id":"https://openalex.org/I134276161","display_name":"Pakistan Institute of Engineering and Applied Sciences","ror":"https://ror.org/04d4mbk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I134276161"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Siraj-ul-Islam Ahmad","raw_affiliation_strings":["Pakistan Institute of Engineering and Applied Science, Nilore, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Pakistan Institute of Engineering and Applied Science, Nilore, Islamabad, Pakistan","institution_ids":["https://openalex.org/I134276161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100740838"],"corresponding_institution_ids":["https://openalex.org/I121243025","https://openalex.org/I16076960"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.5205,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.95910861,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"3-4","first_page":"549","last_page":"561"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9926999807357788,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9894000291824341,"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/sigmoid-function","display_name":"Sigmoid function","score":0.8492034077644348},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.766642689704895},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.6938158273696899},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6292888522148132},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5072267055511475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5050798058509827},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49253734946250916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4679604470729828},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4371027946472168},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.41492408514022827},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.373346209526062},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17560625076293945},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12523511052131653},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.08754760026931763}],"concepts":[{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.8492034077644348},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.766642689704895},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.6938158273696899},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6292888522148132},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5072267055511475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5050798058509827},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49253734946250916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4679604470729828},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4371027946472168},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.41492408514022827},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.373346209526062},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17560625076293945},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12523511052131653},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.08754760026931763},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00521-012-1261-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-012-1261-2","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W138597217","https://openalex.org/W152563831","https://openalex.org/W1512069430","https://openalex.org/W1518039036","https://openalex.org/W1967656260","https://openalex.org/W1968555722","https://openalex.org/W1970467391","https://openalex.org/W1982066268","https://openalex.org/W1985352344","https://openalex.org/W1992057522","https://openalex.org/W2006721356","https://openalex.org/W2006722969","https://openalex.org/W2016043064","https://openalex.org/W2022239753","https://openalex.org/W2024403273","https://openalex.org/W2030723843","https://openalex.org/W2031749344","https://openalex.org/W2034903716","https://openalex.org/W2038389840","https://openalex.org/W2042782183","https://openalex.org/W2048763981","https://openalex.org/W2057506102","https://openalex.org/W2059746331","https://openalex.org/W2070311171","https://openalex.org/W2071854728","https://openalex.org/W2072037219","https://openalex.org/W2091083132","https://openalex.org/W2117645010","https://openalex.org/W2130283634","https://openalex.org/W2143584923","https://openalex.org/W2148634640","https://openalex.org/W2150728528","https://openalex.org/W2166493386","https://openalex.org/W2274728459","https://openalex.org/W2286235467","https://openalex.org/W2302947099","https://openalex.org/W2334576153","https://openalex.org/W2481714479","https://openalex.org/W2559671719","https://openalex.org/W2611147814","https://openalex.org/W4249641605"],"related_works":["https://openalex.org/W4385957115","https://openalex.org/W2061372042","https://openalex.org/W3047779762","https://openalex.org/W1520030019","https://openalex.org/W2071654592","https://openalex.org/W3104477175","https://openalex.org/W2088157920","https://openalex.org/W3119495946","https://openalex.org/W2133690079","https://openalex.org/W2111215486"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
