{"id":"https://openalex.org/W2002346032","doi":"https://doi.org/10.1155/2013/973813","title":"Approximation for Transient of Nonlinear Circuits Using RHPM and BPES Methods","display_name":"Approximation for Transient of Nonlinear Circuits Using RHPM and BPES Methods","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2002346032","doi":"https://doi.org/10.1155/2013/973813","mag":"2002346032"},"language":"en","primary_location":{"id":"doi:10.1155/2013/973813","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2013/973813","pdf_url":"https://downloads.hindawi.com/journals/jece/2013/973813.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"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,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jece/2013/973813.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004649966","display_name":"H\u00e9ctor V\u00e1zquez-Leal","orcid":"https://orcid.org/0000-0002-7785-5272"},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"H. Vazquez-Leal","raw_affiliation_strings":["Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa, 91000, VER, Mexico"],"affiliations":[{"raw_affiliation_string":"Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa, 91000, VER, Mexico","institution_ids":["https://openalex.org/I147280213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109210098","display_name":"K. Boubaker","orcid":null},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"K. Boubaker","raw_affiliation_strings":["\u00c9cole Sup\u00e9rieure de Sciences et Techniques de Tunis (ESSTT), Universit\u00e9 de Tunis, 63 rue Sidi Jabeur, 5100 Mahdia, Tunisia"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Sup\u00e9rieure de Sciences et Techniques de Tunis (ESSTT), Universit\u00e9 de Tunis, 63 rue Sidi Jabeur, 5100 Mahdia, Tunisia","institution_ids":["https://openalex.org/I108714496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021660565","display_name":"Luis Hern\u00e1ndez-Mart\u00ednez","orcid":"https://orcid.org/0000-0001-7178-7929"},"institutions":[{"id":"https://openalex.org/I39824353","display_name":"National Institute of Astrophysics, Optics and Electronics","ror":"https://ror.org/00bpmmc63","country_code":"MX","type":"facility","lineage":["https://openalex.org/I39824353"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"L. Hernandez-Martinez","raw_affiliation_strings":["National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro No. 1, 72840 Santa Mar\u00eda Tonantzintla, PUE, Mexico"],"affiliations":[{"raw_affiliation_string":"National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro No. 1, 72840 Santa Mar\u00eda Tonantzintla, PUE, Mexico","institution_ids":["https://openalex.org/I39824353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042537446","display_name":"J. Huerta-Chua","orcid":"https://orcid.org/0000-0002-2803-0645"},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. Huerta-Chua","raw_affiliation_strings":["Facultad de Ingenieria Civil, Universidad Veracruzana, Venustiano Carranza S/N, Col. Revolucion, C.P. 93390, Poza Rica, VER, Mexico"],"affiliations":[{"raw_affiliation_string":"Facultad de Ingenieria Civil, Universidad Veracruzana, Venustiano Carranza S/N, Col. Revolucion, C.P. 93390, Poza Rica, VER, Mexico","institution_ids":["https://openalex.org/I147280213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5004649966"],"corresponding_institution_ids":["https://openalex.org/I147280213"],"apc_list":{"value":1400,"currency":"USD","value_usd":1400},"apc_paid":{"value":1400,"currency":"USD","value_usd":1400},"fwci":0.7839,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.68857529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"6"},"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":0.9805999994277954,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6935753226280212},{"id":"https://openalex.org/keywords/homotopy-perturbation-method","display_name":"Homotopy perturbation method","score":0.5981854200363159},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5585438013076782},{"id":"https://openalex.org/keywords/microelectronics","display_name":"Microelectronics","score":0.5529860258102417},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4420072138309479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43967029452323914},{"id":"https://openalex.org/keywords/transient-analysis","display_name":"Transient analysis","score":0.423718124628067},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42153042554855347},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4109656512737274},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40795770287513733},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3925896883010864},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.382184237241745},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34856393933296204},{"id":"https://openalex.org/keywords/transient-response","display_name":"Transient response","score":0.3046797215938568},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2707708775997162},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.15311387181282043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14654910564422607},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13024333119392395},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08386698365211487}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6935753226280212},{"id":"https://openalex.org/C91328119","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy perturbation method","level":3,"score":0.5981854200363159},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5585438013076782},{"id":"https://openalex.org/C187937830","wikidata":"https://www.wikidata.org/wiki/Q175403","display_name":"Microelectronics","level":2,"score":0.5529860258102417},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4420072138309479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43967029452323914},{"id":"https://openalex.org/C2989121073","wikidata":"https://www.wikidata.org/wiki/Q1309019","display_name":"Transient analysis","level":3,"score":0.423718124628067},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42153042554855347},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4109656512737274},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40795770287513733},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3925896883010864},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.382184237241745},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34856393933296204},{"id":"https://openalex.org/C85761212","wikidata":"https://www.wikidata.org/wiki/Q1974593","display_name":"Transient response","level":2,"score":0.3046797215938568},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2707708775997162},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.15311387181282043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14654910564422607},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13024333119392395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08386698365211487},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2013/973813","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2013/973813","pdf_url":"https://downloads.hindawi.com/journals/jece/2013/973813.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"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,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0a9b6f74e4284a579b8b78d3ad06d624","is_oa":true,"landing_page_url":"https://doaj.org/article/0a9b6f74e4284a579b8b78d3ad06d624","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Electrical and Computer Engineering, Vol 2013 (2013)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2013/973813","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/973813","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2013/973813","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2013/973813","pdf_url":"https://downloads.hindawi.com/journals/jece/2013/973813.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"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,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2002346032.pdf","grobid_xml":"https://content.openalex.org/works/W2002346032.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W11381063","https://openalex.org/W56320487","https://openalex.org/W421502599","https://openalex.org/W1481080797","https://openalex.org/W1942127712","https://openalex.org/W1969122636","https://openalex.org/W1969887118","https://openalex.org/W1984853762","https://openalex.org/W1987218331","https://openalex.org/W1988544514","https://openalex.org/W1992733222","https://openalex.org/W1994207024","https://openalex.org/W2001916833","https://openalex.org/W2003806194","https://openalex.org/W2020056575","https://openalex.org/W2020662936","https://openalex.org/W2022822828","https://openalex.org/W2024102016","https://openalex.org/W2029279869","https://openalex.org/W2029384065","https://openalex.org/W2037101269","https://openalex.org/W2037690129","https://openalex.org/W2039513892","https://openalex.org/W2040189768","https://openalex.org/W2041929865","https://openalex.org/W2047842550","https://openalex.org/W2048378541","https://openalex.org/W2054016546","https://openalex.org/W2054480248","https://openalex.org/W2056974716","https://openalex.org/W2085262331","https://openalex.org/W2087226000","https://openalex.org/W2095749203","https://openalex.org/W2116817497","https://openalex.org/W2118330125","https://openalex.org/W2127616341","https://openalex.org/W2144399742","https://openalex.org/W2159988661","https://openalex.org/W2165917005","https://openalex.org/W2168894910","https://openalex.org/W2188147332","https://openalex.org/W2320009795","https://openalex.org/W2322116852","https://openalex.org/W2508192192","https://openalex.org/W2795407492"],"related_works":["https://openalex.org/W1981400123","https://openalex.org/W3016525403","https://openalex.org/W1520169471","https://openalex.org/W3206835165","https://openalex.org/W2527728814","https://openalex.org/W1986765550","https://openalex.org/W2316958959","https://openalex.org/W2056500914","https://openalex.org/W2315956789","https://openalex.org/W837744586"],"abstract_inverted_index":{"The":[0],"microelectronics":[1],"area":[2],"constantly":[3],"demands":[4],"better":[5],"and":[6,19,46],"improved":[7],"circuit":[8],"simulation":[9],"tools.":[10],"Therefore,":[11],"in":[12],"this":[13],"paper,":[14],"rational":[15],"homotopy":[16],"perturbation":[17],"method":[18],"Boubaker":[20],"Polynomials":[21],"Expansion":[22],"Scheme":[23],"are":[24,44],"applied":[25],"to":[26],"a":[27,31],"differential":[28],"equation":[29],"from":[30],"nonlinear":[32],"circuit.":[33],"Comparing":[34],"the":[35],"results":[36],"obtained":[37],"by":[38],"both":[39],"techniques":[40],"revealed":[41],"that":[42],"they":[43],"effective":[45],"convenient.":[47]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}