{"id":"https://openalex.org/W1977661479","doi":"https://doi.org/10.1016/s0016-0032(00)00064-8","title":"A discrete Taylor series method for the solution of two-point boundary-value problems","display_name":"A discrete Taylor series method for the solution of two-point boundary-value problems","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1977661479","doi":"https://doi.org/10.1016/s0016-0032(00)00064-8","mag":"1977661479"},"language":"en","primary_location":{"id":"doi:10.1016/s0016-0032(00)00064-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0016-0032(00)00064-8","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","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/A5003554358","display_name":"Guy Jacobsohn","orcid":null},"institutions":[{"id":"https://openalex.org/I127845322","display_name":"University of South Carolina Upstate","ror":"https://ror.org/00t9hhv14","country_code":"US","type":"education","lineage":["https://openalex.org/I127845322"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guy Jacobsohn","raw_affiliation_strings":["Department of Mathematics & Computer Science, University of South Carolina, 800 University Way, Spartanburg, SC 29303, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science, University of South Carolina, 800 University Way, Spartanburg, SC 29303, USA","institution_ids":["https://openalex.org/I127845322"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003554358"],"corresponding_institution_ids":["https://openalex.org/I127845322"],"apc_list":{"value":2700,"currency":"USD","value_usd":2700},"apc_paid":null,"fwci":0.5899,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.66148532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"338","issue":"1","first_page":"61","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9850000143051147,"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":0.9850000143051147,"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/T10514","display_name":"Numerical methods in engineering","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9743000268936157,"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/mathematics","display_name":"Mathematics","score":0.7603190541267395},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.6227201819419861},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5900903344154358},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5873533487319946},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5720986127853394},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5322337746620178},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4558717906475067},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.44220197200775146},{"id":"https://openalex.org/keywords/taylors-theorem","display_name":"Taylor's theorem","score":0.43254953622817993},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.42592352628707886},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4240066707134247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4092869758605957},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3013668656349182},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07663369178771973}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7603190541267395},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.6227201819419861},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5900903344154358},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5873533487319946},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5720986127853394},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5322337746620178},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4558717906475067},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.44220197200775146},{"id":"https://openalex.org/C192523876","wikidata":"https://www.wikidata.org/wiki/Q1137206","display_name":"Taylor's theorem","level":3,"score":0.43254953622817993},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.42592352628707886},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4240066707134247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4092869758605957},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3013668656349182},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07663369178771973},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0016-0032(00)00064-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0016-0032(00)00064-8","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","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":11,"referenced_works":["https://openalex.org/W1975616717","https://openalex.org/W1982821361","https://openalex.org/W2015854079","https://openalex.org/W2033046680","https://openalex.org/W2041058707","https://openalex.org/W2059186558","https://openalex.org/W2074560304","https://openalex.org/W2087026422","https://openalex.org/W2106102602","https://openalex.org/W2146999282","https://openalex.org/W2341059552"],"related_works":["https://openalex.org/W2369507325","https://openalex.org/W2368550193","https://openalex.org/W2004770755","https://openalex.org/W4318537339","https://openalex.org/W55255151","https://openalex.org/W2061027733","https://openalex.org/W2003040130","https://openalex.org/W2361691867","https://openalex.org/W2287235968","https://openalex.org/W207016472"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
