{"id":"https://openalex.org/W2034835353","doi":"https://doi.org/10.1080/00207169708804603","title":"A finite difference method for a class Of singular two point boundary value problems arising in physiology","display_name":"A finite difference method for a class Of singular two point boundary value problems arising in physiology","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2034835353","doi":"https://doi.org/10.1080/00207169708804603","mag":"2034835353"},"language":"en","primary_location":{"id":"doi:10.1080/00207169708804603","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804603","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/A5101630479","display_name":"R.K. Pandey","orcid":"https://orcid.org/0000-0003-1216-0282"},"institutions":[{"id":"https://openalex.org/I186246823","display_name":"University of Lucknow","ror":"https://ror.org/03bdeag60","country_code":"IN","type":"education","lineage":["https://openalex.org/I186246823"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"R.K. Pandey","raw_affiliation_strings":["\n                   \n               Department of Mathematics and Astronomy, Lucknow University, Lucknow, 226007, India","Department of Mathematics and Astronomy, Lucknow University, Lucknow-226007, India"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Mathematics and Astronomy, Lucknow University, Lucknow, 226007, India","institution_ids":["https://openalex.org/I186246823"]},{"raw_affiliation_string":"Department of Mathematics and Astronomy, Lucknow University, Lucknow-226007, India","institution_ids":["https://openalex.org/I186246823"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101630479"],"corresponding_institution_ids":["https://openalex.org/I186246823"],"apc_list":null,"apc_paid":null,"fwci":0.4545,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.62858443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"65","issue":"1-2","first_page":"131","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9933000206947327,"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":0.9933000206947327,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9728999733924866,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9606999754905701,"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/mathematics","display_name":"Mathematics","score":0.7335474491119385},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.664655327796936},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.563178300857544},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5561288595199585},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5350773334503174},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5191044807434082},{"id":"https://openalex.org/keywords/singular-point-of-a-curve","display_name":"Singular point of a curve","score":0.5021615028381348},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.4868852198123932},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48484790325164795},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4794444143772125},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.4576486647129059},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4536854028701782},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4416191577911377},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42822685837745667},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.42015528678894043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11481603980064392},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11109203100204468},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07914870977401733},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07775053381919861}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7335474491119385},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.664655327796936},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.563178300857544},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5561288595199585},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5350773334503174},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5191044807434082},{"id":"https://openalex.org/C200917960","wikidata":"https://www.wikidata.org/wiki/Q3847057","display_name":"Singular point of a curve","level":2,"score":0.5021615028381348},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.4868852198123932},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48484790325164795},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4794444143772125},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.4576486647129059},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4536854028701782},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4416191577911377},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42822685837745667},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.42015528678894043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11481603980064392},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11109203100204468},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07914870977401733},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07775053381919861},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169708804603","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804603","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1971657634","https://openalex.org/W1973676901","https://openalex.org/W1975958940","https://openalex.org/W1981982195","https://openalex.org/W1996986887","https://openalex.org/W2003033542","https://openalex.org/W2008539381","https://openalex.org/W2014646453","https://openalex.org/W2027254911","https://openalex.org/W2028529131","https://openalex.org/W2030699231","https://openalex.org/W2031398765","https://openalex.org/W2039546650","https://openalex.org/W2042459979","https://openalex.org/W2048257802","https://openalex.org/W2065227026","https://openalex.org/W2069579296","https://openalex.org/W2070127486","https://openalex.org/W2072502990","https://openalex.org/W2075201176","https://openalex.org/W2077221255","https://openalex.org/W2096781803","https://openalex.org/W2158560586","https://openalex.org/W2164339067","https://openalex.org/W4241956909","https://openalex.org/W4249798426","https://openalex.org/W4250721289","https://openalex.org/W4254578001"],"related_works":["https://openalex.org/W2389530697","https://openalex.org/W2207626293","https://openalex.org/W2080672562","https://openalex.org/W2315023318","https://openalex.org/W2004231476","https://openalex.org/W2330640442","https://openalex.org/W1990844505","https://openalex.org/W2027210171","https://openalex.org/W2037080473","https://openalex.org/W2026249197"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"finite":[2],"difference":[3,86],"method":[4,22,61],"for":[5],"the":[6,21,31,40,43,60],"singular":[7],"two":[8,69],"point":[9,83],"boundary":[10],"value":[11],"problems":[12,70],"has":[13,23,62],"been":[14,24,63,75],"developed":[15],"and":[16,34,68],"second":[17],"order":[18],"convergence":[19],"of":[20,59,71],"established":[25],"under":[26],"quite":[27],"general":[28],"conditions":[29],"on":[30,42],"functions":[32],"p(x)":[33,45],"f(x,y).":[35],"In":[36],"case":[37],"p(x)=x":[38],"\u03b1,":[39],"assumptions":[41],"function":[44],"allow":[46],"\u03b1":[47],"to":[48],"be":[49],"1,":[50],"2":[51],"or":[52],"any":[53],"number":[54],"greater":[55],"than":[56],"2.":[57],"Order":[58],"verified":[64],"by":[65,77],"one":[66],"example":[67],"physiology":[72],"have":[73],"also":[74],"solved":[76],"this":[78],"method.":[79],"Keywords:":[80],"Singular":[81],"eqn2":[82],"B.V":[84],"problemfinite":[85],"methodC.R.":[87],"Categories:":[88],"G.1.8":[89]},"counts_by_year":[{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
