{"id":"https://openalex.org/W2005276708","doi":"https://doi.org/10.1080/00207169908804806","title":"Multi-integral methods for nonlinear boundary-value problems","display_name":"Multi-integral methods for nonlinear boundary-value problems","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2005276708","doi":"https://doi.org/10.1080/00207169908804806","mag":"2005276708"},"language":"en","primary_location":{"id":"doi:10.1080/00207169908804806","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804806","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/A5069850068","display_name":"Salah M. El\u2010Sayed","orcid":"https://orcid.org/0000-0001-9885-313X"},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Salah M. El-sayed","raw_affiliation_strings":["Department of Mathematics, Faculty of Science , Benha University , Benha, 13518, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science , Benha University , Benha, 13518, Egypt","institution_ids":["https://openalex.org/I207547235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069850068"],"corresponding_institution_ids":["https://openalex.org/I207547235"],"apc_list":null,"apc_paid":null,"fwci":1.4888,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.80226904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"71","issue":"2","first_page":"259","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9980000257492065,"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":0.9980000257492065,"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":0.9972000122070312,"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/T10514","display_name":"Numerical methods in engineering","score":0.9904999732971191,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8496137857437134},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6124828457832336},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5542727708816528},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5473554134368896},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5421416163444519},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5404859781265259},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.5336416959762573},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4790053069591522},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4645298421382904},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44286662340164185},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.44089001417160034},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3050115704536438},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.1906176209449768},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08852419257164001},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.060121387243270874}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8496137857437134},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6124828457832336},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5542727708816528},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5473554134368896},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5421416163444519},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5404859781265259},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.5336416959762573},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4790053069591522},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4645298421382904},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44286662340164185},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.44089001417160034},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3050115704536438},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.1906176209449768},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08852419257164001},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.060121387243270874},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169908804806","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804806","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":8,"referenced_works":["https://openalex.org/W1510003436","https://openalex.org/W1978810688","https://openalex.org/W2044299439","https://openalex.org/W2048257802","https://openalex.org/W2075201176","https://openalex.org/W2087806130","https://openalex.org/W2087929375","https://openalex.org/W2577663557"],"related_works":["https://openalex.org/W2986097147","https://openalex.org/W1993866344","https://openalex.org/W2351377961","https://openalex.org/W2378263446","https://openalex.org/W2804210239","https://openalex.org/W1942228078","https://openalex.org/W2040212319","https://openalex.org/W1987517687","https://openalex.org/W2393913967","https://openalex.org/W2086942802"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"the":[3,10,18,29,34,44,60,63],"multi-integral":[4],"methods":[5],"has":[6],"been":[7],"applied":[8],"to":[9,43,58],"singular":[11],"two-point":[12],"boundary-":[13],"value":[14],"problem":[15],",":[16],"with":[17],"boundary":[19],"conditions":[20],"and":[21,47,52],"u(0)":[22],"=":[23],"B.":[24],"The":[25],"bounds":[26],"which":[27],"provide":[28],"rate":[30],"of":[31,33,37,62],"convergence":[32],"iterative":[35],"sequence":[36],"approximate":[38],"solutions":[39],"by":[40],"Picard":[41],"method,":[42],"exact":[45],"solution":[46],"stop":[48],"criteria":[49],"are":[50,56],"discussed":[51],"obtained.":[53],"Numerical":[54],"results":[55],"presented":[57],"illustrate":[59],"performance":[61],"method":[64]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
