{"id":"https://openalex.org/W7130653510","doi":"https://doi.org/10.1007/s00500-025-10977-2","title":"An optimal computational method for singular perturbed second order boundary value problem","display_name":"An optimal computational method for singular perturbed second order boundary value problem","publication_year":2026,"publication_date":"2026-02-20","ids":{"openalex":"https://openalex.org/W7130653510","doi":"https://doi.org/10.1007/s00500-025-10977-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-025-10977-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-025-10977-2","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5126466999","display_name":"M. Shamna","orcid":null},"institutions":[{"id":"https://openalex.org/I2800731441","display_name":"Government of Kerala","ror":"https://ror.org/00r96e843","country_code":"IN","type":"government","lineage":["https://openalex.org/I2800731441"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"M. Shamna","raw_affiliation_strings":["Department of Mathematics, BJM Government College, Chavara, Kollam, Kerala, 691583, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, BJM Government College, Chavara, Kollam, Kerala, 691583, India","institution_ids":["https://openalex.org/I2800731441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016186331","display_name":"Kumaravel Selvakumar","orcid":"https://orcid.org/0000-0002-6122-3342"},"institutions":[{"id":"https://openalex.org/I33585257","display_name":"Anna University, Chennai","ror":"https://ror.org/01qhf1r47","country_code":"IN","type":"education","lineage":["https://openalex.org/I33585257"]},{"id":"https://openalex.org/I4210092213","display_name":"Ganesamoni Hospital","ror":"https://ror.org/00ggswp78","country_code":"IN","type":"healthcare","lineage":["https://openalex.org/I4210092213"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Selvakumar","raw_affiliation_strings":["Department of Mathematics, Anna University, University College of Engineering, Nagercoil, Konam, Nagercoil, Tamilnadu, 629004, India"],"raw_orcid":"https://orcid.org/0000-0002-6122-3342","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Anna University, University College of Engineering, Nagercoil, Konam, Nagercoil, Tamilnadu, 629004, India","institution_ids":["https://openalex.org/I33585257","https://openalex.org/I4210092213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5126491910","display_name":"R. Sunil Kumar","orcid":null},"institutions":[{"id":"https://openalex.org/I2800731441","display_name":"Government of Kerala","ror":"https://ror.org/00r96e843","country_code":"IN","type":"government","lineage":["https://openalex.org/I2800731441"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Sunil Kumar","raw_affiliation_strings":["Department of Mathematics, BJM Government College, Chavara, Kollam, Kerala, 691583, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, BJM Government College, Chavara, Kollam, Kerala, 691583, India","institution_ids":["https://openalex.org/I2800731441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5126466999"],"corresponding_institution_ids":["https://openalex.org/I2800731441"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42468773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"4","first_page":"2547","last_page":"2564"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9438999891281128,"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":0.9438999891281128,"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/T11416","display_name":"Numerical methods for differential equations","score":0.010900000110268593,"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":0.005799999926239252,"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/singular-perturbation","display_name":"Singular perturbation","score":0.7394999861717224},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6945000290870667},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.597000002861023},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5497000217437744},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4609000086784363},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4449999928474426},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.44200000166893005},{"id":"https://openalex.org/keywords/boundary-knot-method","display_name":"Boundary knot method","score":0.44110000133514404}],"concepts":[{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.7394999861717224},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6945000290870667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6744999885559082},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.597000002861023},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5497000217437744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46160000562667847},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4609000086784363},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4449999928474426},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.44200000166893005},{"id":"https://openalex.org/C52890695","wikidata":"https://www.wikidata.org/wiki/Q4949966","display_name":"Boundary knot method","level":4,"score":0.44110000133514404},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4251999855041504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40540000796318054},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.39480000734329224},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.3813999891281128},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.3546999990940094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3499999940395355},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3458000123500824},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.32260000705718994},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.29100000858306885},{"id":"https://openalex.org/C48395688","wikidata":"https://www.wikidata.org/wiki/Q6823714","display_name":"Method of fundamental solutions","level":5,"score":0.27619999647140503},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.263700008392334}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-025-10977-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-025-10977-2","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W116797183","https://openalex.org/W1506895582","https://openalex.org/W1643088395","https://openalex.org/W1969441199","https://openalex.org/W1970323478","https://openalex.org/W1982079698","https://openalex.org/W1984857531","https://openalex.org/W2006159150","https://openalex.org/W2008348856","https://openalex.org/W2036738082","https://openalex.org/W2037810836","https://openalex.org/W2049822286","https://openalex.org/W2089914247","https://openalex.org/W2090237084","https://openalex.org/W2161348993","https://openalex.org/W2161615915","https://openalex.org/W2409827077","https://openalex.org/W2595067462","https://openalex.org/W2788287164","https://openalex.org/W2794305505","https://openalex.org/W4220922626","https://openalex.org/W4252247111","https://openalex.org/W4283714551","https://openalex.org/W4283780546","https://openalex.org/W4302562054"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-28T06:11:35.319607","created_date":"2026-02-20T00:00:00"}