{"id":"https://openalex.org/W2107588485","doi":"https://doi.org/10.1080/00207160410001708823","title":"Parameter uniform numerical method for a boundary-value problem for singularly perturbed nonlinear delay differential equation of neutral type","display_name":"Parameter uniform numerical method for a boundary-value problem for singularly perturbed nonlinear delay differential equation of neutral type","publication_year":2004,"publication_date":"2004-06-29","ids":{"openalex":"https://openalex.org/W2107588485","doi":"https://doi.org/10.1080/00207160410001708823","mag":"2107588485"},"language":"en","primary_location":{"id":"doi:10.1080/00207160410001708823","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160410001708823","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110012684","display_name":"Mohan K. Kadalbajoo","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. K. Kadalbajoo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5078092280","display_name":"Kapil K. Sharma","orcid":"https://orcid.org/0000-0001-9229-9190"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. K. Sharma \u2020","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5110012684"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.19806279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"81","issue":"7","first_page":"845","last_page":"862"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"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/mathematics","display_name":"Mathematics","score":0.850100040435791},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6689625978469849},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6687748432159424},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5804744362831116},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5353235602378845},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49642640352249146},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.4827698767185211},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.47855740785598755},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"Uniform convergence","score":0.4450157880783081},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.430259108543396},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.39989906549453735},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3687783479690552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.054392993450164795}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.850100040435791},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6689625978469849},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6687748432159424},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5804744362831116},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5353235602378845},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49642640352249146},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.4827698767185211},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.47855740785598755},{"id":"https://openalex.org/C157709441","wikidata":"https://www.wikidata.org/wiki/Q1411887","display_name":"Uniform convergence","level":3,"score":0.4450157880783081},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.430259108543396},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.39989906549453735},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3687783479690552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.054392993450164795},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160410001708823","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160410001708823","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W79873316","https://openalex.org/W109882832","https://openalex.org/W429946928","https://openalex.org/W609598071","https://openalex.org/W1476132770","https://openalex.org/W1976549596","https://openalex.org/W1985967981","https://openalex.org/W2018032381","https://openalex.org/W2036371403","https://openalex.org/W2056692226","https://openalex.org/W2083291101","https://openalex.org/W2088551942","https://openalex.org/W4241946322","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2084086280","https://openalex.org/W2027198738","https://openalex.org/W2397767885","https://openalex.org/W2006251942","https://openalex.org/W237421766","https://openalex.org/W2364741597","https://openalex.org/W2083114070","https://openalex.org/W2615217538","https://openalex.org/W1970594695","https://openalex.org/W4224097631"],"abstract_inverted_index":{"The":[0,86,111],"boundary-value":[1],"problems":[2,90],"(BVPs)":[3],"for":[4,81,97,102],"singularly":[5],"perturbed":[6],"nonlinear":[7,79],"delay":[8,52],"differential":[9],"equations":[10],"are":[11,109],"studied.":[12],"In":[13,60],"this":[14],"article,":[15],"we":[16,42,54],"present":[17],"a":[18,82,116],"parameter":[19],"uniform":[20,126],"numerical":[21,132],"scheme":[22,120],"based":[23],"on":[24,125],"the":[25,30,40,44,51,56,61,63,66,75,78,103,106],"fitting":[26],"mesh":[27,127],"technique":[28],"in":[29],"boundary":[31],"layer":[32],"region":[33],"to":[34,49,74],"solve":[35],"such":[36],"BVPs.":[37],"To":[38],"tackle":[39],"nonlinearity,":[41],"use":[43,55],"quasilinearization":[45,71,94],"process":[46],",":[47],"and":[48,99,121],"handle":[50],"term,":[53],"Taylor":[57],"series":[58],".":[59],"limit,":[62],"solution":[64,76,104],"of":[65,77,88,105],"linear":[67,89],"BVPs":[68],"obtained":[69,92],"after":[70,93],"converges":[72],"quadratically":[73],"BVP":[80],"judicious":[83],"initial":[84],"approximation.":[85],"sequence":[87],"so":[91],"is":[95,113],"analyzed":[96],"convergence,":[98],"error":[100],"estimates":[101],"discretized":[107],"problem":[108],"derived.":[110],"method":[112,124],"compared":[114],"with":[115],"standard":[117],"upwind":[118],"difference":[119],"fitted":[122],"operator":[123],"by":[128],"carrying":[129],"out":[130],"several":[131],"experiments.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
