{"id":"https://openalex.org/W4283275574","doi":"https://doi.org/10.1142/s179396232350023x","title":"Error analysis and numerical solution of generalized Benjamin\u2013Bona\u2013Mahony\u2013Burgers equation using 3-scale Haar wavelets","display_name":"Error analysis and numerical solution of generalized Benjamin\u2013Bona\u2013Mahony\u2013Burgers equation using 3-scale Haar wavelets","publication_year":2022,"publication_date":"2022-06-21","ids":{"openalex":"https://openalex.org/W4283275574","doi":"https://doi.org/10.1142/s179396232350023x"},"language":"en","primary_location":{"id":"doi:10.1142/s179396232350023x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179396232350023x","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/A5085068739","display_name":"Shitesh Shukla","orcid":"https://orcid.org/0000-0003-3467-9552"},"institutions":[{"id":"https://openalex.org/I152869788","display_name":"Motilal Nehru National Institute of Technology","ror":"https://ror.org/04dp7tp96","country_code":"IN","type":"education","lineage":["https://openalex.org/I152869788"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Shitesh Shukla","raw_affiliation_strings":["Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India","institution_ids":["https://openalex.org/I152869788"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100444537","display_name":"M. Kumar","orcid":"https://orcid.org/0000-0002-6723-5248"},"institutions":[{"id":"https://openalex.org/I152869788","display_name":"Motilal Nehru National Institute of Technology","ror":"https://ror.org/04dp7tp96","country_code":"IN","type":"education","lineage":["https://openalex.org/I152869788"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Manoj Kumar","raw_affiliation_strings":["Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India","institution_ids":["https://openalex.org/I152869788"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085068739"],"corresponding_institution_ids":["https://openalex.org/I152869788"],"apc_list":null,"apc_paid":null,"fwci":0.2706,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46754727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"04","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":0.9994000196456909,"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":0.9994000196456909,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9930999875068665,"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/haar-wavelet","display_name":"Haar wavelet","score":0.8295049667358398},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.76189786195755},{"id":"https://openalex.org/keywords/haar","display_name":"Haar","score":0.664677619934082},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6462051272392273},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6402554512023926},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.6248639822006226},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.6131560206413269},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5633347630500793},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49921584129333496},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.49535003304481506},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4625474810600281},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44655197858810425},{"id":"https://openalex.org/keywords/cascade-algorithm","display_name":"Cascade algorithm","score":0.43770286440849304},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.41969022154808044},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.41117945313453674},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.34976130723953247},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3398582339286804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2931528687477112},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11271011829376221},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10698765516281128}],"concepts":[{"id":"https://openalex.org/C2780423554","wikidata":"https://www.wikidata.org/wiki/Q766198","display_name":"Haar wavelet","level":5,"score":0.8295049667358398},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.76189786195755},{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.664677619934082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6462051272392273},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6402554512023926},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.6248639822006226},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.6131560206413269},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5633347630500793},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49921584129333496},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.49535003304481506},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4625474810600281},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44655197858810425},{"id":"https://openalex.org/C88829872","wikidata":"https://www.wikidata.org/wiki/Q5048176","display_name":"Cascade algorithm","level":5,"score":0.43770286440849304},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.41969022154808044},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.41117945313453674},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.34976130723953247},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3398582339286804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2931528687477112},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11271011829376221},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10698765516281128},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179396232350023x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179396232350023x","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":34,"referenced_works":["https://openalex.org/W1057021034","https://openalex.org/W1983841827","https://openalex.org/W1986830331","https://openalex.org/W1992199385","https://openalex.org/W2005380085","https://openalex.org/W2007310062","https://openalex.org/W2033582361","https://openalex.org/W2059106264","https://openalex.org/W2061494021","https://openalex.org/W2064974934","https://openalex.org/W2073103099","https://openalex.org/W2077464783","https://openalex.org/W2088728841","https://openalex.org/W2094864752","https://openalex.org/W2106627814","https://openalex.org/W2588232568","https://openalex.org/W2746503175","https://openalex.org/W2766001322","https://openalex.org/W3015286441","https://openalex.org/W3027463025","https://openalex.org/W3110162586","https://openalex.org/W3112235825","https://openalex.org/W3127186984","https://openalex.org/W3133821201","https://openalex.org/W3143492965","https://openalex.org/W3153916769","https://openalex.org/W3157692717","https://openalex.org/W3164691947","https://openalex.org/W3171950248","https://openalex.org/W3194929454","https://openalex.org/W3196056038","https://openalex.org/W3196977878","https://openalex.org/W4238223064","https://openalex.org/W4244765967"],"related_works":["https://openalex.org/W2766849256","https://openalex.org/W984746159","https://openalex.org/W4361795924","https://openalex.org/W1999916501","https://openalex.org/W4232769230","https://openalex.org/W2005569824","https://openalex.org/W111100742","https://openalex.org/W4239324723","https://openalex.org/W2043338154","https://openalex.org/W4256103891"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,26],"propose":[4],"an":[5],"extended":[6],"numerical":[7,11],"algorithm":[8,18,44],"for":[9,40,76],"the":[10,14,20,28,35,64,77,80],"solution":[12],"of":[13,22,31,72,79],"Benjamin\u2013Bona\u2013Mahony\u2013Burgers":[15],"equation.":[16],"This":[17,43],"involves":[19],"application":[21],"wavelet":[23,38,49],"theory.":[24],"First,":[25],"use":[27],"Quasilinearization":[29],"technique":[30],"linearization":[32],"and":[33,55,92],"apply":[34],"3-scale":[36],"Haar":[37,65],"approach":[39],"truncation":[41],"error.":[42],"is":[45,60],"constructed":[46],"from":[47],"two":[48],"functions":[50],"that":[51],"make":[52],"it":[53],"robust":[54],"highly":[56],"accurate.":[57],"A":[58],"multi-resolution":[59],"used":[61],"to":[62],"generate":[63],"basis":[66],"function.":[67],"We":[68],"consider":[69],"three":[70],"cases":[71],"a":[73],"mathematical":[74],"problem":[75],"accuracy":[78],"presented":[81],"algorithm.":[82],"The":[83],"obtained":[84],"results":[85],"show":[86],"good":[87],"agreement":[88],"with":[89],"analytical":[90],"solutions":[91],"have":[93],"better":[94],"accuracy.":[95]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}