{"id":"https://openalex.org/W2659950870","doi":"https://doi.org/10.1080/00207160.2017.1346244","title":"Solving inverse Sturm\u2013Liouville problem with separated boundary conditions by using two different input data","display_name":"Solving inverse Sturm\u2013Liouville problem with separated boundary conditions by using two different input data","publication_year":2017,"publication_date":"2017-06-23","ids":{"openalex":"https://openalex.org/W2659950870","doi":"https://doi.org/10.1080/00207160.2017.1346244","mag":"2659950870"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2017.1346244","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1346244","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5010029625","display_name":"A. Neamaty","orcid":"https://orcid.org/0000-0002-0870-6011"},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Abdolali Neamaty","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran","institution_ids":["https://openalex.org/I4871159"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063497664","display_name":"Shahrbanoo Akbarpoor","orcid":"https://orcid.org/0000-0001-8110-3818"},"institutions":[{"id":"https://openalex.org/I110525433","display_name":"Islamic Azad University, Tehran","ror":"https://ror.org/01kzn7k21","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Shahrbanoo Akbarpoor","raw_affiliation_strings":["Islamic Azad University, Jouybar Branch, Jouybar, Iran"],"affiliations":[{"raw_affiliation_string":"Islamic Azad University, Jouybar Branch, Jouybar, Iran","institution_ids":["https://openalex.org/I110525433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090100450","display_name":"Emrah Y\u0131lmaz","orcid":"https://orcid.org/0000-0002-7822-9193"},"institutions":[{"id":"https://openalex.org/I143396566","display_name":"F\u0131rat University","ror":"https://ror.org/05teb7b63","country_code":"TR","type":"education","lineage":["https://openalex.org/I143396566"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Emrah Yilmaz","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey","institution_ids":["https://openalex.org/I143396566"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063497664"],"corresponding_institution_ids":["https://openalex.org/I110525433"],"apc_list":null,"apc_paid":null,"fwci":0.7588,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.66713385,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"95","issue":"10","first_page":"1992","last_page":"2010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/mathematics","display_name":"Mathematics","score":0.8802909851074219},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.7747045755386353},{"id":"https://openalex.org/keywords/sturm\u2013liouville-theory","display_name":"Sturm\u2013Liouville theory","score":0.7708667516708374},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7131936550140381},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.6501404047012329},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6304303407669067},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5885787606239319},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5665722489356995},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5595942139625549},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5262985229492188},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5183811783790588},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4962959885597229},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4936612546443939},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4351125955581665},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08771336078643799},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0738125741481781}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8802909851074219},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.7747045755386353},{"id":"https://openalex.org/C22892174","wikidata":"https://www.wikidata.org/wiki/Q1154082","display_name":"Sturm\u2013Liouville theory","level":3,"score":0.7708667516708374},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7131936550140381},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.6501404047012329},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6304303407669067},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5885787606239319},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5665722489356995},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5595942139625549},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5262985229492188},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5183811783790588},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4962959885597229},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4936612546443939},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4351125955581665},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08771336078643799},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0738125741481781},{"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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2017.1346244","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1346244","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W164468646","https://openalex.org/W1556861252","https://openalex.org/W1964040568","https://openalex.org/W1977654453","https://openalex.org/W1979826391","https://openalex.org/W1981237273","https://openalex.org/W1982830403","https://openalex.org/W1987166581","https://openalex.org/W1993257222","https://openalex.org/W1999264253","https://openalex.org/W1999560728","https://openalex.org/W2002716109","https://openalex.org/W2009667042","https://openalex.org/W2010021087","https://openalex.org/W2013342241","https://openalex.org/W2016371634","https://openalex.org/W2017953907","https://openalex.org/W2020660923","https://openalex.org/W2028963334","https://openalex.org/W2029018058","https://openalex.org/W2029649455","https://openalex.org/W2039774072","https://openalex.org/W2040677800","https://openalex.org/W2055958055","https://openalex.org/W2056218798","https://openalex.org/W2058698759","https://openalex.org/W2062054100","https://openalex.org/W2064449540","https://openalex.org/W2064772523","https://openalex.org/W2070362020","https://openalex.org/W2077044135","https://openalex.org/W2077314431","https://openalex.org/W2081374975","https://openalex.org/W2090585512","https://openalex.org/W2091989854","https://openalex.org/W2093311902","https://openalex.org/W2093942144","https://openalex.org/W2094181691","https://openalex.org/W2483165452","https://openalex.org/W2761208896","https://openalex.org/W4246980524"],"related_works":["https://openalex.org/W2386085043","https://openalex.org/W2512523565","https://openalex.org/W2964166133","https://openalex.org/W2061441441","https://openalex.org/W2129740403","https://openalex.org/W4301821448","https://openalex.org/W2366885346","https://openalex.org/W2019664609","https://openalex.org/W2059877241","https://openalex.org/W2370400727"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"we":[3,55],"consider":[4],"Sturm\u2013Liouville":[5],"(SL)":[6],"equation":[7],"under":[8],"the":[9,19,41,46,52,68],"separated":[10],"boundary":[11],"conditions":[12],"on":[13],"a":[14],"finite":[15],"interval.":[16],"We":[17],"get":[18],"approximate":[20,48,53],"solutions":[21],"of":[22,36,64],"inverse":[23],"SL":[24],"problem":[25],"by":[26,60,73],"using":[27],"different":[28],"input":[29],"data":[30],"as":[31],"eigenvalues":[32],"and":[33,39],"nodes":[34],"(zeros":[35],"eigenfunctions),":[37],"separately,":[38],"calculate":[40,51],"computed":[42],"errors":[43],"related":[44],"to":[45],"obtained":[47],"solutions.":[49],"To":[50],"solutions,":[54],"use":[56],"Chebyshev":[57,65],"interpolation":[58],"technique":[59],"applying":[61],"first":[62],"kind":[63],"polynomials.":[66],"Eventually,":[67],"numerical":[69],"results":[70],"are":[71],"presented":[72],"providing":[74],"some":[75],"examples.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}