{"id":"https://openalex.org/W7210270918","doi":"https://doi.org/10.17632/vs6432tkdm","title":"Code and data for: A New Class of Optimal Fourth-Order Weight Functions for Solving Nonlinear Equations","display_name":"Code and data for: A New Class of Optimal Fourth-Order Weight Functions for Solving Nonlinear Equations","publication_year":2026,"publication_date":"2026-09-06","ids":{"openalex":"https://openalex.org/W7210270918","doi":"https://doi.org/10.17632/vs6432tkdm"},"language":"en","primary_location":{"id":"doi:10.17632/vs6432tkdm","doi":"https://doi.org/10.17632/vs6432tkdm","is_oa":true,"landing_page_url":"https://doi.org/10.17632/vs6432tkdm","pdf_url":null,"source":{"id":"https://openalex.org/S7407050775","display_name":"Mendeley Data","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dataset"},"volume":null,"type":"dataset","is_traditional":false,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.17632/vs6432tkdm","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020612113","display_name":"Chalermwut Comemuang","orcid":"https://orcid.org/0000-0002-7817-1729","observed_orcids":["https://orcid.org/0000-0002-7817-1729"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Comemuang, Chalermwut","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5020612113"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.0,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-solvers","display_name":"nonlinear solvers","score":0.8510000109672546},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.5289999842643738},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"complex dynamics","score":0.8130000233650208},{"id":"https://openalex.org/keywords/basins-of-attraction","display_name":"basins of attraction","score":0.7459999918937683},{"id":"https://openalex.org/keywords/fixed-points","display_name":"fixed points","score":0.722000002861023},{"id":"https://openalex.org/keywords/newton-raphson","display_name":"Newton-Raphson","score":0.6940000057220459},{"id":"https://openalex.org/keywords/king-s-method","display_name":"King's method","score":0.6159999966621399},{"id":"https://openalex.org/keywords/chemical-reactors","display_name":"chemical reactors","score":0.4860000014305115},{"id":"https://openalex.org/keywords/symbolic-verification","display_name":"symbolic verification","score":0.550000011920929}],"concepts":[{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.7056999802589417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5407000184059143},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49559998512268066},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47440001368522644},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4553999900817871},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.4381999969482422},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4375999867916107},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43070000410079956},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4108000099658966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38850000500679016},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.35280001163482666},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.3260999917984009},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29840001463890076},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2660999894142151},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26260000467300415},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.26190000772476196},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2551000118255615},{"id":"https://openalex.org/C16910744","wikidata":"https://www.wikidata.org/wiki/Q7705759","display_name":"Test data","level":2,"score":0.2538999915122986},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25040000677108765}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.17632/vs6432tkdm","doi":"https://doi.org/10.17632/vs6432tkdm","is_oa":true,"landing_page_url":"https://doi.org/10.17632/vs6432tkdm","pdf_url":null,"source":{"id":"https://openalex.org/S7407050775","display_name":"Mendeley Data","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dataset"},{"id":"doi:10.17632/vs6432tkdm.1","doi":"https://doi.org/10.17632/vs6432tkdm.1","is_oa":true,"landing_page_url":"https://doi.org/10.17632/vs6432tkdm.1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050775","display_name":"Mendeley Data","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dataset"},{"id":"doi:10.6084/m9.figshare.33440695.v1","doi":"https://doi.org/10.6084/m9.figshare.33440695.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.33440695.v1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Software"}],"best_oa_location":{"id":"doi:10.17632/vs6432tkdm","doi":"https://doi.org/10.17632/vs6432tkdm","is_oa":true,"landing_page_url":"https://doi.org/10.17632/vs6432tkdm","pdf_url":null,"source":{"id":"https://openalex.org/S7407050775","display_name":"Mendeley Data","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dataset"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3036724214","https://openalex.org/W6903740430","https://openalex.org/W2040056383","https://openalex.org/W2348217069","https://openalex.org/W7129020145","https://openalex.org/W2921725197","https://openalex.org/W4403136182","https://openalex.org/W2168016556","https://openalex.org/W2948067867","https://openalex.org/W3197410437"],"abstract_inverted_index":{"This":[0],"dataset":[1],"contains":[2],"the":[3,22,56,69,131,146,160],"complete":[4],"Python":[5],"source":[6],"code":[7,97,153],"used":[8],"to":[9],"derive,":[10],"verify,":[11],"and":[12,19,40,59,77,112,125,148],"generate":[13],"every":[14],"symbolic":[15,52],"result,":[16],"numerical":[17,66],"table,":[18],"figure":[20],"in":[21,145],"manuscript":[23,147],"\"A":[24],"New":[25],"Class":[26],"of":[27,55,68,109,134,159],"Optimal":[28],"Fourth-Order":[29],"Weight":[30],"Functions":[31],"for":[32,105,156],"Solving":[33],"Nonlinear":[34],"Equations:":[35],"Error":[36],"Analysis,":[37],"Singularity":[38],"Dynamics,":[39],"Engineering":[41],"Applications\"":[42],"(Chalermwut":[43],"Comemuang,":[44],"Buriram":[45],"Rajabhat":[46],"University).":[47],"The":[48],"package":[49],"includes:":[50],"(1)":[51],"verification":[53],"(SymPy)":[54],"convergence":[57],"theorem":[58],"its":[60,149],"fifth-order":[61],"refinement;":[62],"(2)":[63],"1500-digit-precision":[64],"(mpmath)":[65],"benchmarks":[67],"three":[70,106],"proposed":[71],"weight-function":[72],"methods":[73,81],"against":[74],"Newton-Raphson,":[75],"Ostrowski,":[76],"eight":[78],"recent":[79],"literature":[80],"(King,":[82],"Chun":[83],"et":[84],"al.,":[85],"Zein,":[86],"Abu":[87],"Ghalioun":[88],"&":[89],"Zein)":[90],"across":[91],"six":[92],"test":[93,107],"functions;":[94],"(3)":[95],"complex-dynamics":[96],"(extraneous":[98],"fixed":[99],"points,":[100,102],"critical":[101],"attraction-basin":[103],"generation)":[104],"polynomials":[108],"different":[110],"degree":[111],"root":[113],"symmetry;":[114],"(4)":[115],"engineering":[116],"application":[117],"solvers":[118],"(CSTR,":[119],"Casson":[120],"fluid":[121],"flow,":[122],"diode-resistor":[123],"circuit);":[124],"(5)":[126],"a":[127],"parameter-sensitivity":[128],"sweep":[129],"supporting":[130],"paper's":[132,161],"choice":[133],"parameter":[135],"values.":[136],"A":[137],"README.md":[138],"details":[139],"which":[140,143],"script":[141],"reproduces":[142],"table/figure":[144],"Supplementary":[150],"Material.":[151],"All":[152],"is":[154],"provided":[155],"independent":[157],"reproduction":[158],"results.":[162]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-07T00:00:00"}