{"id":"https://openalex.org/W2946552342","doi":"https://doi.org/10.1155/2019/2459809","title":"A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs","display_name":"A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs","publication_year":2019,"publication_date":"2019-05-20","ids":{"openalex":"https://openalex.org/W2946552342","doi":"https://doi.org/10.1155/2019/2459809","mag":"2946552342"},"language":"en","primary_location":{"id":"doi:10.1155/2019/2459809","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/2459809","pdf_url":"http://downloads.hindawi.com/journals/jam/2019/2459809.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/jam/2019/2459809.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041338604","display_name":"I. B. Aiguobasimwin","orcid":null},"institutions":[{"id":"https://openalex.org/I6406202","display_name":"University of Benin","ror":"https://ror.org/04mznrw11","country_code":"NG","type":"education","lineage":["https://openalex.org/I6406202"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"I. B. Aiguobasimwin","raw_affiliation_strings":["Department of Mathematics, University of Benin, Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Benin, Nigeria","institution_ids":["https://openalex.org/I6406202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023743465","display_name":"R. I. Okuonghae","orcid":"https://orcid.org/0000-0003-3776-1172"},"institutions":[{"id":"https://openalex.org/I6406202","display_name":"University of Benin","ror":"https://ror.org/04mznrw11","country_code":"NG","type":"education","lineage":["https://openalex.org/I6406202"]}],"countries":["NG"],"is_corresponding":true,"raw_author_name":"R. I. Okuonghae","raw_affiliation_strings":["Department of Mathematics, University of Benin, Nigeria"],"raw_orcid":"https://orcid.org/0000-0003-3776-1172","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Benin, Nigeria","institution_ids":["https://openalex.org/I6406202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023743465"],"corresponding_institution_ids":["https://openalex.org/I6406202"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.9734,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71964121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2019","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential 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/T11416","display_name":"Numerical methods for differential 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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9957000017166138,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.8691815137863159},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.8613067865371704},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6800813674926758},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6431480646133423},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.562628984451294},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5445755124092102},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5372146964073181},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.49753692746162415},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4796648323535919},{"id":"https://openalex.org/keywords/stiff-equation","display_name":"Stiff equation","score":0.44851237535476685},{"id":"https://openalex.org/keywords/numerical-methods-for-ordinary-differential-equations","display_name":"Numerical methods for ordinary differential equations","score":0.4215806722640991},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4184541404247284},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.38549599051475525},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32291993498802185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24465563893318176},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.09901991486549377}],"concepts":[{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.8691815137863159},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8613067865371704},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6800813674926758},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6431480646133423},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.562628984451294},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5445755124092102},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5372146964073181},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.49753692746162415},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4796648323535919},{"id":"https://openalex.org/C43012357","wikidata":"https://www.wikidata.org/wiki/Q29744","display_name":"Stiff equation","level":3,"score":0.44851237535476685},{"id":"https://openalex.org/C1164432","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Numerical methods for ordinary differential equations","level":5,"score":0.4215806722640991},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4184541404247284},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38549599051475525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32291993498802185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24465563893318176},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.09901991486549377},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2019/2459809","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/2459809","pdf_url":"http://downloads.hindawi.com/journals/jam/2019/2459809.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1563933637","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1563933637","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:2459809","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2019/2459809.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:a7b212801bf943e08a9c9cddb8b6e0ea","is_oa":true,"landing_page_url":"https://doaj.org/article/a7b212801bf943e08a9c9cddb8b6e0ea","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":"Journal of Applied Mathematics, Vol 2019 (2019)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2019/2459809","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/2459809","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2019/2459809","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/2459809","pdf_url":"http://downloads.hindawi.com/journals/jam/2019/2459809.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2946552342.pdf","grobid_xml":"https://content.openalex.org/works/W2946552342.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W145521805","https://openalex.org/W175137405","https://openalex.org/W1620581513","https://openalex.org/W1967697356","https://openalex.org/W1972988100","https://openalex.org/W1973469783","https://openalex.org/W2000531430","https://openalex.org/W2003171473","https://openalex.org/W2010179730","https://openalex.org/W2041934546","https://openalex.org/W2054313441","https://openalex.org/W2071562924","https://openalex.org/W2076641549","https://openalex.org/W2111358340","https://openalex.org/W2157764110"],"related_works":["https://openalex.org/W1972583070","https://openalex.org/W4211042180","https://openalex.org/W2378531610","https://openalex.org/W2089635888","https://openalex.org/W2295655673","https://openalex.org/W130803118","https://openalex.org/W2088005785","https://openalex.org/W2278428637","https://openalex.org/W2301897886","https://openalex.org/W1964390829"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,33],"new":[4],"class":[5],"of":[6,16,36,58,65],"two-derivative":[7],"two-step":[8],"Runge-Kutta":[9,38,92],"(TDTSRK)":[10],"methods":[11,31,39,47,61,72,93],"for":[12],"the":[13,52,74,95],"numerical":[14],"solution":[15],"non-stiff":[17],"initial":[18],"value":[19],"problems":[20],"(IVPs)":[21],"in":[22,73,94],"ordinary":[23],"differential":[24],"equation":[25],"(ODEs)":[26],"is":[27],"considered.":[28],"The":[29,46,76],"TDTSRK":[30],"are":[32],"special":[34],"case":[35],"multi-derivative":[37],"proposed":[40],"by":[41],"Kastlunger":[42],"and":[43,54,84],"Wanner":[44],"(1972).":[45],"considered":[48],"herein":[49],"incorporate":[50],"only":[51],"first":[53],"second":[55],"derivatives":[56],"terms":[57],"ODEs.":[59],"These":[60],"possess":[62],"large":[63],"interval":[64],"stability":[66],"when":[67],"compared":[68],"with":[69,88],"other":[70],"existing":[71],"literature.":[75,96],"experiments":[77],"have":[78],"been":[79],"performed":[80],"on":[81],"standard":[82,90],"problems,":[83],"comparisons":[85],"were":[86],"made":[87],"some":[89],"explicit":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
