{"id":"https://openalex.org/W3206590588","doi":"https://doi.org/10.1142/s1793962322500106","title":"Numerical inversion method for the Laplace transform based on Boubaker polynomials operational matrix","display_name":"Numerical inversion method for the Laplace transform based on Boubaker polynomials operational matrix","publication_year":2021,"publication_date":"2021-10-18","ids":{"openalex":"https://openalex.org/W3206590588","doi":"https://doi.org/10.1142/s1793962322500106","mag":"3206590588"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962322500106","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962322500106","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/A5023041018","display_name":"Rachid Belgacem","orcid":"https://orcid.org/0000-0002-1697-4075"},"institutions":[{"id":"https://openalex.org/I4210164694","display_name":"Hassiba Benbouali University of Chlef","ror":"https://ror.org/04yymzm67","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210164694"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Rachid Belgacem","raw_affiliation_strings":["Faculty of Exact and Computer Sciences, Mathematic Department, Hassiba Benbouali University, Chlef, Algeria","Laboratory of Mathematics and its Applications (LMA), Faculty of Exact and Computer Sciences, Hassiba Benbouali University, Chlef, Algeria"],"affiliations":[{"raw_affiliation_string":"Faculty of Exact and Computer Sciences, Mathematic Department, Hassiba Benbouali University, Chlef, Algeria","institution_ids":["https://openalex.org/I4210164694"]},{"raw_affiliation_string":"Laboratory of Mathematics and its Applications (LMA), Faculty of Exact and Computer Sciences, Hassiba Benbouali University, Chlef, Algeria","institution_ids":["https://openalex.org/I4210164694"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113145165","display_name":"Ahmed Bokhari","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164694","display_name":"Hassiba Benbouali University of Chlef","ror":"https://ror.org/04yymzm67","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210164694"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Ahmed Bokhari","raw_affiliation_strings":["Faculty of Exact and Computer Sciences, Mathematic Department, Hassiba Benbouali University, Chlef, Algeria"],"affiliations":[{"raw_affiliation_string":"Faculty of Exact and Computer Sciences, Mathematic Department, Hassiba Benbouali University, Chlef, Algeria","institution_ids":["https://openalex.org/I4210164694"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076176608","display_name":"Salih Djilali","orcid":"https://orcid.org/0000-0002-4030-6499"},"institutions":[{"id":"https://openalex.org/I233209018","display_name":"University of Abou Bekr Belka\u00efd","ror":"https://ror.org/00jsjm362","country_code":"DZ","type":"education","lineage":["https://openalex.org/I233209018"]},{"id":"https://openalex.org/I4210164694","display_name":"Hassiba Benbouali University of Chlef","ror":"https://ror.org/04yymzm67","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210164694"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Salih Djilali","raw_affiliation_strings":["Faculty of Exact and Computer Sciences, Mathematic Department, Hassiba Benbouali University, Chlef, Algeria","Laboratoire d\u2019Analyse Non Lin\u00e9aire et Math\u00e9matiques Appliqu\u00e9es, Universit\u00e9 de Tlemcen, Tlemcen, Algeria"],"affiliations":[{"raw_affiliation_string":"Faculty of Exact and Computer Sciences, Mathematic Department, Hassiba Benbouali University, Chlef, Algeria","institution_ids":["https://openalex.org/I4210164694"]},{"raw_affiliation_string":"Laboratoire d\u2019Analyse Non Lin\u00e9aire et Math\u00e9matiques Appliqu\u00e9es, Universit\u00e9 de Tlemcen, Tlemcen, Algeria","institution_ids":["https://openalex.org/I233209018"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060764666","display_name":"Sunil Kumar","orcid":"https://orcid.org/0000-0003-0620-1068"},"institutions":[{"id":"https://openalex.org/I187761245","display_name":"National Institute of Technology Jamshedpur","ror":"https://ror.org/01sebzx27","country_code":"IN","type":"education","lineage":["https://openalex.org/I187761245"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunil Kumar","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand, India","institution_ids":["https://openalex.org/I187761245"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076176608"],"corresponding_institution_ids":["https://openalex.org/I233209018","https://openalex.org/I4210164694"],"apc_list":null,"apc_paid":null,"fwci":0.1791,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46774529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"13","issue":"01","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":0.9997000098228455,"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":0.9997000098228455,"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":0.9966999888420105,"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":0.9775000214576721,"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/laplace-transform","display_name":"Laplace transform","score":0.7912994623184204},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6507458090782166},{"id":"https://openalex.org/keywords/posts-inversion-formula","display_name":"Post's inversion formula","score":0.6441691517829895},{"id":"https://openalex.org/keywords/laplace-transform-applied-to-differential-equations","display_name":"Laplace transform applied to differential equations","score":0.6276953816413879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5926787853240967},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"Inverse Laplace transform","score":0.5887570381164551},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48825836181640625},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.45073381066322327},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44975417852401733},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43306994438171387},{"id":"https://openalex.org/keywords/two-sided-laplace-transform","display_name":"Two-sided Laplace transform","score":0.4290025234222412},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.41783997416496277},{"id":"https://openalex.org/keywords/greens-function-for-the-three-variable-laplace-equation","display_name":"Green's function for the three-variable Laplace equation","score":0.3410426378250122},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.2804269790649414},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.11507904529571533},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0734841525554657},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.07034927606582642}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7912994623184204},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6507458090782166},{"id":"https://openalex.org/C119200878","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Post's inversion formula","level":5,"score":0.6441691517829895},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.6276953816413879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5926787853240967},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.5887570381164551},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48825836181640625},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.45073381066322327},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44975417852401733},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43306994438171387},{"id":"https://openalex.org/C10288518","wikidata":"https://www.wikidata.org/wiki/Q1785576","display_name":"Two-sided Laplace transform","level":5,"score":0.4290025234222412},{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.41783997416496277},{"id":"https://openalex.org/C208067445","wikidata":"https://www.wikidata.org/wiki/Q5602166","display_name":"Green's function for the three-variable Laplace equation","level":4,"score":0.3410426378250122},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.2804269790649414},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.11507904529571533},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0734841525554657},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.07034927606582642},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962322500106","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962322500106","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":32,"referenced_works":["https://openalex.org/W196627109","https://openalex.org/W1994128207","https://openalex.org/W2017629131","https://openalex.org/W2019522851","https://openalex.org/W2021719174","https://openalex.org/W2031628808","https://openalex.org/W2065192054","https://openalex.org/W2077095261","https://openalex.org/W2080910515","https://openalex.org/W2081138782","https://openalex.org/W2165591847","https://openalex.org/W2165917005","https://openalex.org/W2294543173","https://openalex.org/W2501145244","https://openalex.org/W2536675618","https://openalex.org/W2562803299","https://openalex.org/W2707744045","https://openalex.org/W2741909209","https://openalex.org/W2763421353","https://openalex.org/W2885832765","https://openalex.org/W2914325595","https://openalex.org/W2937434169","https://openalex.org/W2980170422","https://openalex.org/W3004128881","https://openalex.org/W3008234768","https://openalex.org/W3009620638","https://openalex.org/W3011205779","https://openalex.org/W3033562259","https://openalex.org/W3086267385","https://openalex.org/W3096564012","https://openalex.org/W3097169932","https://openalex.org/W3119936399"],"related_works":["https://openalex.org/W3022465471","https://openalex.org/W2006787795","https://openalex.org/W124252178","https://openalex.org/W2353815102","https://openalex.org/W2111048305","https://openalex.org/W2126003629","https://openalex.org/W2135094424","https://openalex.org/W3206590588","https://openalex.org/W2483856381","https://openalex.org/W2551973128"],"abstract_inverted_index":{"We":[0],"investigate":[1],"through":[2],"this":[3,35],"research":[4],"the":[5,10,15,24,40,58],"numerical":[6,47],"inversion":[7],"technique":[8,36],"for":[9],"Laplace":[11,42],"transforms":[12],"cooperated":[13],"by":[14,29],"integration":[16],"Boubaker":[17],"polynomials":[18],"operational":[19],"matrix.":[20],"The":[21,46],"efficiency":[22],"of":[23],"presented":[25],"approach":[26],"is":[27,37,52],"demonstrated":[28],"solving":[30],"some":[31],"differential":[32],"equations.":[33],"Also,":[34],"combined":[38],"with":[39,61],"standard":[41],"Homotopy":[43],"Perturbation":[44],"Method.":[45],"results":[48],"highlight":[49],"that":[50],"there":[51],"a":[53],"very":[54],"good":[55],"agreement":[56],"between":[57],"estimated":[59],"solutions":[60],"exact":[62],"solutions.":[63]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}