{"id":"https://openalex.org/W1998829263","doi":"https://doi.org/10.1142/s1793962313500293","title":"A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation","display_name":"A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation","publication_year":2013,"publication_date":"2013-09-12","ids":{"openalex":"https://openalex.org/W1998829263","doi":"https://doi.org/10.1142/s1793962313500293","mag":"1998829263"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962313500293","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962313500293","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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/A5017622007","display_name":"Jyoti Talwar","orcid":null},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Jyoti Talwar","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110 007, India","Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110 007, India","institution_ids":["https://openalex.org/I110166357"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043230408","display_name":"R. K. Mohanty","orcid":"https://orcid.org/0000-0001-6832-1239"},"institutions":[{"id":"https://openalex.org/I90425906","display_name":"South Asian University","ror":"https://ror.org/02kjyst95","country_code":"IN","type":"education","lineage":["https://openalex.org/I90425906"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. K. Mohanty","raw_affiliation_strings":["Department of Applied Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi-110 021, India","Department of Applied Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi 110 021, India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi-110 021, India","institution_ids":["https://openalex.org/I90425906"]},{"raw_affiliation_string":"Department of Applied Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi 110 021, India","institution_ids":["https://openalex.org/I90425906"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017622007"],"corresponding_institution_ids":["https://openalex.org/I110166357"],"apc_list":null,"apc_paid":null,"fwci":0.9257,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71703581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"05","issue":"02","first_page":"1350029","last_page":"1350029"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9976000189781189,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9957000017166138,"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 methods for differential equations","score":0.9866999983787537,"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/burgers-equation","display_name":"Burgers' equation","score":0.8482711911201477},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8285325765609741},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7282678484916687},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6776036024093628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5661850571632385},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.535519003868103},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5244279503822327},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38276514410972595},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2528873682022095},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.19834685325622559},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10134753584861755}],"concepts":[{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.8482711911201477},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8285325765609741},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7282678484916687},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6776036024093628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5661850571632385},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.535519003868103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5244279503822327},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38276514410972595},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2528873682022095},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.19834685325622559},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10134753584861755},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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:10.1142/s1793962313500293","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962313500293","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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":16,"referenced_works":["https://openalex.org/W17808191","https://openalex.org/W1970319260","https://openalex.org/W1985957836","https://openalex.org/W1986777371","https://openalex.org/W2014283195","https://openalex.org/W2029912024","https://openalex.org/W2032580007","https://openalex.org/W2045384647","https://openalex.org/W2058459101","https://openalex.org/W2065545353","https://openalex.org/W2068369814","https://openalex.org/W2079929209","https://openalex.org/W2087398788","https://openalex.org/W2104422534","https://openalex.org/W2123183208","https://openalex.org/W2158382768"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"discuss":[4],"a":[5],"new":[6,33],"smart":[7],"alternating":[8],"group":[9],"explicit":[10],"method":[11,35,53],"based":[12],"on":[13],"off-step":[14],"discretization":[15],"for":[16,31],"the":[17,32,42,50,55,65,68],"solution":[18],"of":[19,44,67],"time":[20],"dependent":[21],"viscous":[22],"Burgers'":[23,45],"equation":[24,46],"in":[25,38],"rectangular":[26],"coordinates.":[27],"The":[28],"convergence":[29],"analysis":[30],"iteration":[34],"is":[36],"discussed":[37],"details.":[39],"We":[40],"compared":[41],"results":[43,56],"obtained":[47,57],"by":[48,58],"using":[49],"proposed":[51,69],"iterative":[52,60],"with":[54],"other":[59],"methods":[61],"to":[62],"demonstrate":[63],"computationally":[64],"efficiency":[66],"method.":[70]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}