{"id":"https://openalex.org/W4312224621","doi":"https://doi.org/10.3390/sym15010078","title":"Conformable Double Laplace\u2013Sumudu Iterative Method","display_name":"Conformable Double Laplace\u2013Sumudu Iterative Method","publication_year":2022,"publication_date":"2022-12-28","ids":{"openalex":"https://openalex.org/W4312224621","doi":"https://doi.org/10.3390/sym15010078"},"language":"en","primary_location":{"id":"doi:10.3390/sym15010078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010078","pdf_url":"https://www.mdpi.com/2073-8994/15/1/78/pdf?version=1672209035","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/1/78/pdf?version=1672209035","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112009697","display_name":"Shams A. Ahmed","orcid":null},"institutions":[{"id":"https://openalex.org/I199702508","display_name":"Jouf University","ror":"https://ror.org/02zsyt821","country_code":"SA","type":"education","lineage":["https://openalex.org/I199702508"]},{"id":"https://openalex.org/I78157869","display_name":"University of Gezira","ror":"https://ror.org/001mf9v16","country_code":"SD","type":"education","lineage":["https://openalex.org/I78157869"]}],"countries":["SA","SD"],"is_corresponding":false,"raw_author_name":"Shams A. Ahmed","raw_affiliation_strings":["Department of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal 74756, Saudi Arabia","Department of Mathematic, University of Gezira, Wad Madani 21111, Sudan"],"raw_orcid":"https://orcid.org/0000-0003-1324-0823","affiliations":[{"raw_affiliation_string":"Department of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal 74756, Saudi Arabia","institution_ids":["https://openalex.org/I199702508"]},{"raw_affiliation_string":"Department of Mathematic, University of Gezira, Wad Madani 21111, Sudan","institution_ids":["https://openalex.org/I78157869"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050224380","display_name":"Ahmad Qazza","orcid":"https://orcid.org/0000-0002-8404-3897"},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Ahmad Qazza","raw_affiliation_strings":["Department of Mathematic, Zarqa University, Zarqa 13110, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-8404-3897","affiliations":[{"raw_affiliation_string":"Department of Mathematic, Zarqa University, Zarqa 13110, Jordan","institution_ids":["https://openalex.org/I153687341"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025732055","display_name":"Rania Saadeh","orcid":"https://orcid.org/0000-0002-6394-1452"},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Rania Saadeh","raw_affiliation_strings":["Department of Mathematic, Zarqa University, Zarqa 13110, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-6394-1452","affiliations":[{"raw_affiliation_string":"Department of Mathematic, Zarqa University, Zarqa 13110, Jordan","institution_ids":["https://openalex.org/I153687341"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051146431","display_name":"Tarig M. Elzaki","orcid":"https://orcid.org/0000-0002-6946-9267"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Tarig M. Elzaki","raw_affiliation_strings":["Department of Mathematic, University of Jeddah, Jeddah 21589, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-6946-9267","affiliations":[{"raw_affiliation_string":"Department of Mathematic, University of Jeddah, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050224380"],"corresponding_institution_ids":["https://openalex.org/I153687341"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.9257,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.85546463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"15","issue":"1","first_page":"78","last_page":"78"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9972000122070312,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9605000019073486,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conformable-matrix","display_name":"Conformable matrix","score":0.9739542007446289},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.840641975402832},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7423487305641174},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6212216019630432},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5992673635482788},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5573474764823914},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5522834062576294},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5487386584281921},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5244826674461365},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.428711473941803},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42691507935523987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.359829306602478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3029444217681885},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0596943199634552}],"concepts":[{"id":"https://openalex.org/C86072612","wikidata":"https://www.wikidata.org/wiki/Q5160239","display_name":"Conformable matrix","level":2,"score":0.9739542007446289},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.840641975402832},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7423487305641174},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6212216019630432},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5992673635482788},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5573474764823914},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5522834062576294},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5487386584281921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5244826674461365},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.428711473941803},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42691507935523987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.359829306602478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3029444217681885},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0596943199634552},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15010078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010078","pdf_url":"https://www.mdpi.com/2073-8994/15/1/78/pdf?version=1672209035","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8966c1a739d34ec9b4e2ad905f019bab","is_oa":false,"landing_page_url":"https://doaj.org/article/8966c1a739d34ec9b4e2ad905f019bab","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 1, p 78 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/1/78/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15010078","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 15; Issue 1; Pages: 78","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15010078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010078","pdf_url":"https://www.mdpi.com/2073-8994/15/1/78/pdf?version=1672209035","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312224621.pdf","grobid_xml":"https://content.openalex.org/works/W4312224621.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1633315028","https://openalex.org/W1969004631","https://openalex.org/W2009664058","https://openalex.org/W2014326473","https://openalex.org/W2038895414","https://openalex.org/W2047865461","https://openalex.org/W2063067239","https://openalex.org/W2100245367","https://openalex.org/W2101494568","https://openalex.org/W2142116510","https://openalex.org/W2463455424","https://openalex.org/W2558746723","https://openalex.org/W2565176576","https://openalex.org/W2744755470","https://openalex.org/W2783239065","https://openalex.org/W2790253100","https://openalex.org/W2791658284","https://openalex.org/W2946644229","https://openalex.org/W2962815619","https://openalex.org/W2998223865","https://openalex.org/W3036635584","https://openalex.org/W3037709338","https://openalex.org/W3129926782","https://openalex.org/W3133566534","https://openalex.org/W3141939412","https://openalex.org/W3158256943","https://openalex.org/W3159266612","https://openalex.org/W3193949860","https://openalex.org/W3214928263","https://openalex.org/W4205424657","https://openalex.org/W4223962039","https://openalex.org/W4281478015","https://openalex.org/W4286383557","https://openalex.org/W4287834722","https://openalex.org/W4294170345","https://openalex.org/W4297910216","https://openalex.org/W6654051874","https://openalex.org/W6700319450","https://openalex.org/W6731155506","https://openalex.org/W6743047460","https://openalex.org/W6779866207","https://openalex.org/W6791321535","https://openalex.org/W6794369266","https://openalex.org/W6841071018"],"related_works":["https://openalex.org/W3158256943","https://openalex.org/W2791706864","https://openalex.org/W3174813951","https://openalex.org/W4225004620","https://openalex.org/W4281909962","https://openalex.org/W4327909411","https://openalex.org/W3153959854","https://openalex.org/W3124745103","https://openalex.org/W3214928263","https://openalex.org/W4293106448"],"abstract_inverted_index":{"This":[0],"research":[1],"introduces":[2],"a":[3,66],"novel":[4],"approach":[5,32],"that":[6,63,80],"combines":[7],"the":[8,15,33,44,48,53,70,87,110,115,123],"conformable":[9,34],"double":[10],"Laplace\u2013Sumudu":[11,35],"transform":[12],"(CDLST)":[13],"and":[14,27,42,47,112,127],"iterative":[16,36],"method":[17,58,78,117],"to":[18,52,65,103],"handle":[19],"nonlinear":[20],"partial":[21],"problems":[22,121],"considering":[23],"some":[24,100],"given":[25],"conditions,":[26],"we":[28,40,98],"call":[29],"this":[30,77],"new":[31,57],"(CDLSI)":[37],"method.":[38],"Furthermore,":[39],"state":[41],"discuss":[43],"main":[45],"properties":[46],"basic":[49],"results":[50,108],"related":[51],"proposed":[54],"technique.":[55],"The":[56,73,107],"provides":[59],"approximate":[60],"series":[61,84],"solutions":[62,85],"converge":[64],"closed":[67],"form":[68],"of":[69,75,114,125],"exact":[71],"solution.":[72],"advantage":[74],"using":[76],"is":[79],"it":[81],"produces":[82],"analytical":[83],"for":[86],"target":[88],"equations":[89],"without":[90],"requiring":[91],"discretization,":[92],"transformation,":[93],"or":[94],"restricted":[95],"assumptions.":[96],"Moreover,":[97],"present":[99],"numerical":[101],"applications":[102],"defend":[104],"our":[105],"results.":[106],"demonstrate":[109],"strength":[111],"efficiency":[113],"presented":[116],"in":[118,122,129],"solving":[119],"various":[120],"fields":[124],"physics":[126],"engineering":[128],"symmetry":[130],"with":[131],"other":[132],"methods.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-01-04T00:00:00"}