{"id":"https://openalex.org/W4410598722","doi":"https://doi.org/10.3390/axioms14060395","title":"A Linearized Conservative Finite Difference Scheme for the Rosenau\u2013RLW Equation","display_name":"A Linearized Conservative Finite Difference Scheme for the Rosenau\u2013RLW Equation","publication_year":2025,"publication_date":"2025-05-22","ids":{"openalex":"https://openalex.org/W4410598722","doi":"https://doi.org/10.3390/axioms14060395"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14060395","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060395","pdf_url":"https://www.mdpi.com/2075-1680/14/6/395/pdf?version=1747917207","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/6/395/pdf?version=1747917207","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yongzheng Li","orcid":"https://orcid.org/0009-0007-7803-9887"},"institutions":[{"id":"https://openalex.org/I58995867","display_name":"Civil Aviation Flight University of China","ror":"https://ror.org/01xyb1v19","country_code":"CN","type":"education","lineage":["https://openalex.org/I58995867"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongzheng Li","raw_affiliation_strings":["Faculty of Science, Civil Aviation Flight University of China, Guanghan 618307, China"],"raw_orcid":"https://orcid.org/0009-0007-7803-9887","affiliations":[{"raw_affiliation_string":"Faculty of Science, Civil Aviation Flight University of China, Guanghan 618307, China","institution_ids":["https://openalex.org/I58995867"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5117635864","display_name":"Longcheng Ren","orcid":"https://orcid.org/0009-0005-1184-5839"},"institutions":[{"id":"https://openalex.org/I58995867","display_name":"Civil Aviation Flight University of China","ror":"https://ror.org/01xyb1v19","country_code":"CN","type":"education","lineage":["https://openalex.org/I58995867"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Longcheng Ren","raw_affiliation_strings":["Faculty of Science, Civil Aviation Flight University of China, Guanghan 618307, China"],"raw_orcid":"https://orcid.org/0009-0005-1184-5839","affiliations":[{"raw_affiliation_string":"Faculty of Science, Civil Aviation Flight University of China, Guanghan 618307, China","institution_ids":["https://openalex.org/I58995867"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jinsong Hu","orcid":"https://orcid.org/0009-0007-8106-9972"},"institutions":[{"id":"https://openalex.org/I4401041622","display_name":"Chengdu Technological University","ror":"https://ror.org/04713ex73","country_code":null,"type":"education","lineage":["https://openalex.org/I4401041622"]},{"id":"https://openalex.org/I44468530","display_name":"Qingdao University of Technology","ror":"https://ror.org/01qzc0f54","country_code":"CN","type":"education","lineage":["https://openalex.org/I44468530"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinsong Hu","raw_affiliation_strings":["College of Big Data and Artificial Intelligence, Chengdu Technological University, Chengdu 6111730, China"],"raw_orcid":"https://orcid.org/0009-0007-8106-9972","affiliations":[{"raw_affiliation_string":"College of Big Data and Artificial Intelligence, Chengdu Technological University, Chengdu 6111730, China","institution_ids":["https://openalex.org/I44468530","https://openalex.org/I4401041622"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084351971","display_name":"Kelong Cheng","orcid":"https://orcid.org/0000-0001-9380-4558"},"institutions":[{"id":"https://openalex.org/I58995867","display_name":"Civil Aviation Flight University of China","ror":"https://ror.org/01xyb1v19","country_code":"CN","type":"education","lineage":["https://openalex.org/I58995867"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kelong Zheng","raw_affiliation_strings":["Faculty of Science, Civil Aviation Flight University of China, Guanghan 618307, China"],"raw_orcid":"https://orcid.org/0000-0001-9380-4558","affiliations":[{"raw_affiliation_string":"Faculty of Science, Civil Aviation Flight University of China, Guanghan 618307, China","institution_ids":["https://openalex.org/I58995867"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084351971"],"corresponding_institution_ids":["https://openalex.org/I58995867"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08277434,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"6","first_page":"395","last_page":"395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.995199978351593,"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"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.995199978351593,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9939000010490417,"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":0.9728999733924866,"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/scheme","display_name":"Scheme (mathematics)","score":0.5145322680473328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5007412433624268},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3597838282585144}],"concepts":[{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5145322680473328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5007412433624268},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3597838282585144}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14060395","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060395","pdf_url":"https://www.mdpi.com/2075-1680/14/6/395/pdf?version=1747917207","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9079d3150b2f4113be776889f196b8bf","is_oa":true,"landing_page_url":"https://doaj.org/article/9079d3150b2f4113be776889f196b8bf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 6, p 395 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14060395","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060395","pdf_url":"https://www.mdpi.com/2075-1680/14/6/395/pdf?version=1747917207","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410598722.pdf","grobid_xml":"https://content.openalex.org/works/W4410598722.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W92678590","https://openalex.org/W1812894164","https://openalex.org/W1967162203","https://openalex.org/W1977607363","https://openalex.org/W1978589184","https://openalex.org/W1988825467","https://openalex.org/W2008322089","https://openalex.org/W2026255552","https://openalex.org/W2054040173","https://openalex.org/W2077464783","https://openalex.org/W2077905173","https://openalex.org/W2080303954","https://openalex.org/W2100219999","https://openalex.org/W2104353850","https://openalex.org/W2129646285","https://openalex.org/W2157763285","https://openalex.org/W2499627372","https://openalex.org/W2525653979","https://openalex.org/W2613314665","https://openalex.org/W2766659607","https://openalex.org/W2967547272","https://openalex.org/W2981999346","https://openalex.org/W2985421824","https://openalex.org/W3017360753","https://openalex.org/W3192668358","https://openalex.org/W3196310412","https://openalex.org/W6672461148","https://openalex.org/W6754224477","https://openalex.org/W6758187559","https://openalex.org/W6794292773"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"A":[0],"novel":[1],"two\u2013level":[2],"linearized":[3],"conservative":[4],"finite":[5],"difference":[6],"method":[7],"is":[8,30,58,65],"proposed":[9],"for":[10,32],"solving":[11],"the":[12,18,23,27,41,45,61,68,73,80,85,90,97],"initial":[13],"boundary":[14],"value":[15],"problem":[16],"of":[17,40,72,84],"Rosenau\u2013RLW":[19],"equation.":[20],"To":[21],"preserve":[22],"energy":[24,92],"conservation":[25,63],"property,":[26],"Crank\u2013Nicolson":[28],"scheme":[29,57,86],"employed":[31],"temporal":[33],"discretization,":[34,53],"combined":[35],"with":[36],"an":[37],"averaging":[38],"treatment":[39],"nonlinear":[42],"term":[43],"between":[44],"nth":[46],"and":[47,67,70,82],"(n+1)th":[48],"time":[49],"levels.":[50],"For":[51],"spatial":[52],"a":[54],"centered":[55],"symmetric":[56],"adopted.":[59],"Meanwhile,":[60],"discrete":[62,91],"law":[64],"presented,":[66],"existence":[69],"uniqueness":[71],"numerical":[74],"solutions":[75],"are":[76,87],"rigorously":[77],"proved.":[78],"Furthermore,":[79],"convergence":[81],"stability":[83],"analyzed":[88],"using":[89],"method.":[93],"Numerical":[94],"experiments":[95],"validate":[96],"theoretical":[98],"results.":[99]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}