{"id":"https://openalex.org/W7203983428","doi":"https://doi.org/10.38177/ajbsr.2026.8307","title":"Application and Numerical Simulation of Modelled Epidemical Problems as Ordinary Differential Equation Using New Computation Method","display_name":"Application and Numerical Simulation of Modelled Epidemical Problems as Ordinary Differential Equation Using New Computation Method","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7203983428","doi":"https://doi.org/10.38177/ajbsr.2026.8307"},"language":"en","primary_location":{"id":"doi:10.38177/ajbsr.2026.8307","doi":"https://doi.org/10.38177/ajbsr.2026.8307","is_oa":true,"landing_page_url":"https://doi.org/10.38177/ajbsr.2026.8307","pdf_url":"https://doi.org/10.38177/ajbsr.2026.8307","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asian Journal of Basic Science & Research","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.38177/ajbsr.2026.8307","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5116881277","display_name":"Aminu A. Renos","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aminu A. Renos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091606673","display_name":"Joshua Amawa Kwanamu","orcid":"https://orcid.org/0000-0002-8714-313X","observed_orcids":["https://orcid.org/0000-0002-8714-313X"]},"institutions":[{"id":"https://openalex.org/I106980716","display_name":"Adamawa State University","ror":"https://ror.org/01t11nq62","country_code":"NG","type":"education","lineage":["https://openalex.org/I106980716"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Joshua A. Kwanamu","raw_affiliation_strings":["Department of Mathematics , Adamawa State University , Mubi , Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Adamawa State University , Mubi , Nigeria","institution_ids":["https://openalex.org/I106980716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5147843596","display_name":"Chatta Catherine","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chatta Catherine","raw_affiliation_strings":["Adamawa State Post Primary School Management Board , Yola , Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adamawa State Post Primary School Management Board , Yola , Nigeria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"08","issue":"03","first_page":"95","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.9911999702453613,"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 Solvers for Ordinary Differential Equations","score":0.9911999702453613,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.003100000089034438,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.002400000113993883,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ordinary-differential-equations","display_name":"ordinary differential equations","score":0.8140000104904175},{"id":"https://openalex.org/keywords/epidemic-modeling","display_name":"epidemic modeling","score":0.875},{"id":"https://openalex.org/keywords/interpolation","display_name":"interpolation","score":0.43299999833106995},{"id":"https://openalex.org/keywords/high-order-methods","display_name":"high-order methods","score":0.4729999899864197},{"id":"https://openalex.org/keywords/absolute-stability","display_name":"absolute stability","score":0.6700000166893005},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.5659999847412109},{"id":"https://openalex.org/keywords/logistic-growth-model","display_name":"logistic growth model","score":0.8159999847412109},{"id":"https://openalex.org/keywords/decay-model","display_name":"decay models","score":0.9449999928474426},{"id":"https://openalex.org/keywords/mixture-models","display_name":"mixture models","score":0.9330000281333923}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6754000186920166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.631600022315979},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.631600022315979},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5684999823570251},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5013999938964844},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.49880000948905945},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4936999976634979},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4586000144481659},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4325999915599823},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.4237000048160553},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4180999994277954},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.4023999869823456},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.37610000371932983},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.3596999943256378},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3375000059604645},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3352000117301941},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.33230000734329224},{"id":"https://openalex.org/C1164432","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Numerical methods for ordinary differential equations","level":5,"score":0.3294000029563904},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3197999894618988},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.30889999866485596},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.30149999260902405},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.2987000048160553},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.2930000126361847},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.27790001034736633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26809999346733093},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26089999079704285},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.25699999928474426},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.2522999942302704},{"id":"https://openalex.org/C149393637","wikidata":"https://www.wikidata.org/wiki/Q5421265","display_name":"Explicit and implicit methods","level":5,"score":0.250900000333786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.38177/ajbsr.2026.8307","doi":"https://doi.org/10.38177/ajbsr.2026.8307","is_oa":true,"landing_page_url":"https://doi.org/10.38177/ajbsr.2026.8307","pdf_url":"https://doi.org/10.38177/ajbsr.2026.8307","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asian Journal of Basic Science & Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.38177/ajbsr.2026.8307","doi":"https://doi.org/10.38177/ajbsr.2026.8307","is_oa":true,"landing_page_url":"https://doi.org/10.38177/ajbsr.2026.8307","pdf_url":"https://doi.org/10.38177/ajbsr.2026.8307","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asian Journal of Basic Science & Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203983428.pdf","grobid_xml":"https://content.openalex.org/works/W7203983428.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W4393069856","https://openalex.org/W4393083441","https://openalex.org/W4406247370","https://openalex.org/W4409099385"],"related_works":["https://openalex.org/W4409099385","https://openalex.org/W6931239830","https://openalex.org/W3201097115","https://openalex.org/W4410421297","https://openalex.org/W2014420847","https://openalex.org/W4404242664","https://openalex.org/W2992039820","https://openalex.org/W3217118454","https://openalex.org/W1979006914","https://openalex.org/W1622635534"],"abstract_inverted_index":{"This":[0],"study":[1],"presents":[2],"the":[3,14,68,85,97,120,125,128,131,141,153,157,161,168,182,189,199,203,210,228],"development":[4],"and":[5,37,43,78,105,160,176,196,216,237,240],"application":[6],"of":[7,17,57,67,90,114,127,134,202,223],"a":[8,52,220],"New":[9],"Computational":[10],"Method":[11],"(NCM)":[12],"for":[13,130,218,235],"numerical":[15,65,132,178],"simulation":[16],"epidemiological":[18,60,135,148,224],"problems":[19,195],"modelled":[20],"as":[21,51],"ordinary":[22,247],"differential":[23,61,149,225,248],"equations.":[24,226,249],"The":[25,46,81,112,184,206],"method":[26,55,70,86,98,129],"was":[27,49,99,117,143],"derived":[28],"using":[29,119],"power":[30],"series":[31],"polynomial":[32],"approximations":[33],"combined":[34],"with":[35,172],"interpolation":[36],"collocation":[38],"techniques":[39],"at":[40],"selected":[41],"grid":[42],"off-grid":[44],"points.":[45],"resulting":[47],"scheme":[48],"formulated":[50],"one-step":[53],"block":[54],"capable":[56],"solving":[58,219],"first-order":[59],"equations":[62],"efficiently.":[63],"Fundamental":[64],"properties":[66],"proposed":[69],"were":[71,170],"investigated,":[72],"including":[73],"order,":[74],"consistency,":[75],"zero-stability,":[76],"convergence,":[77],"absolute":[79,115],"stability.":[80],"analysis":[82],"revealed":[83],"that":[84,209],"possesses":[87],"an":[88,231],"order":[89],"eleven,":[91],"thereby":[92],"ensuring":[93],"high":[94],"accuracy.":[95],"Furthermore,":[96],"shown":[100],"to":[101,108,145],"be":[102],"consistent,":[103],"zero-stable,":[104],"convergent":[106],"according":[107],"Dahlquist\u2019s":[109],"convergence":[110],"theorem.":[111],"region":[113],"stability":[116],"obtained":[118,166],"boundary":[121],"locus":[122],"technique,":[123],"confirming":[124],"suitability":[126],"integration":[133],"models.":[136,205],"To":[137],"evaluate":[138],"its":[139],"performance,":[140],"NCM":[142,211,229],"applied":[144,242],"three":[146],"representative":[147],"equation":[150],"models,":[151],"namely":[152],"Logistic":[154],"Growth":[155],"Model,":[156],"Decay":[158],"Model":[159],"Mixture":[162],"Model.":[163],"Numerical":[164],"results":[165],"from":[167],"simulations":[169],"compared":[171],"exact":[173,190],"analytical":[174],"solutions":[175,186,191],"existing":[177],"methods":[179],"reported":[180],"in":[181],"literature.":[183],"computed":[185],"closely":[187],"matched":[188],"across":[192],"all":[193],"test":[194],"successfully":[197],"reproduced":[198],"qualitative":[200],"behaviour":[201],"underlying":[204],"comparisons":[207],"demonstrated":[208],"is":[212],"highly":[213],"reliable,":[214],"efficient":[215],"robust":[217],"wide":[221],"range":[222],"Consequently,":[227],"provides":[230],"effective":[232],"computational":[233],"tool":[234],"modelling":[236],"simulating":[238],"disease-related":[239],"other":[241],"mathematical":[243],"phenomena":[244],"governed":[245],"by":[246]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-08-23T00:00:00"}