{"id":"https://openalex.org/W2073576302","doi":"https://doi.org/10.1007/s11075-013-9800-1","title":"A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains","display_name":"A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains","publication_year":2013,"publication_date":"2013-11-23","ids":{"openalex":"https://openalex.org/W2073576302","doi":"https://doi.org/10.1007/s11075-013-9800-1","mag":"2073576302"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-013-9800-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9800-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5050418984","display_name":"Pouria Assari","orcid":"https://orcid.org/0000-0002-6541-7451"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Pouria Assari","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran 15914"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]},{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran 15914","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026886970","display_name":"Hojatollah Adibi","orcid":"https://orcid.org/0000-0002-8167-5020"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hojatollah Adibi","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran 15914"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]},{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran 15914","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044309986","display_name":"Mehdi Dehghan","orcid":"https://orcid.org/0000-0002-2573-9755"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mehdi Dehghan","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran 15914"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]},{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran 15914","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044309986"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3587,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.81566189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"67","issue":"2","first_page":"423","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/moving-least-squares","display_name":"Moving least squares","score":0.840579628944397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8300997018814087},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6836084723472595},{"id":"https://openalex.org/keywords/regularized-meshless-method","display_name":"Regularized meshless method","score":0.6793020963668823},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5790687203407288},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5643704533576965},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5432544350624084},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5399240851402283},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.48431745171546936},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4721626937389374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4474421441555023},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4249795973300934},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.421543687582016},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.33345043659210205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16026782989501953},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.12022331357002258},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.08834704756736755},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.08502063155174255},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.07670554518699646}],"concepts":[{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.840579628944397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8300997018814087},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6836084723472595},{"id":"https://openalex.org/C177562122","wikidata":"https://www.wikidata.org/wiki/Q7309629","display_name":"Regularized meshless method","level":5,"score":0.6793020963668823},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5790687203407288},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5643704533576965},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5432544350624084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5399240851402283},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.48431745171546936},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4721626937389374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4474421441555023},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4249795973300934},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.421543687582016},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.33345043659210205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16026782989501953},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.12022331357002258},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.08834704756736755},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.08502063155174255},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.07670554518699646},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-013-9800-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9800-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":61,"referenced_works":["https://openalex.org/W71630999","https://openalex.org/W121978422","https://openalex.org/W351768996","https://openalex.org/W1486164486","https://openalex.org/W1597405158","https://openalex.org/W1970560517","https://openalex.org/W1977043498","https://openalex.org/W1978142553","https://openalex.org/W1978352654","https://openalex.org/W1978446789","https://openalex.org/W1982754700","https://openalex.org/W1988744163","https://openalex.org/W1990177855","https://openalex.org/W1996097836","https://openalex.org/W1996545617","https://openalex.org/W1997574414","https://openalex.org/W2003683739","https://openalex.org/W2009934830","https://openalex.org/W2014208709","https://openalex.org/W2015102866","https://openalex.org/W2027061588","https://openalex.org/W2032698779","https://openalex.org/W2033087926","https://openalex.org/W2038588076","https://openalex.org/W2043660059","https://openalex.org/W2047279061","https://openalex.org/W2048403500","https://openalex.org/W2048441106","https://openalex.org/W2052040160","https://openalex.org/W2055023540","https://openalex.org/W2056107846","https://openalex.org/W2060819023","https://openalex.org/W2061871845","https://openalex.org/W2076221890","https://openalex.org/W2077750600","https://openalex.org/W2078914286","https://openalex.org/W2080057507","https://openalex.org/W2082487045","https://openalex.org/W2085181312","https://openalex.org/W2087623491","https://openalex.org/W2093095086","https://openalex.org/W2094048486","https://openalex.org/W2103064467","https://openalex.org/W2107699930","https://openalex.org/W2117967613","https://openalex.org/W2129196837","https://openalex.org/W2129883166","https://openalex.org/W2132717427","https://openalex.org/W2142136198","https://openalex.org/W2147169375","https://openalex.org/W2152727585","https://openalex.org/W2164906883","https://openalex.org/W2166724116","https://openalex.org/W2168857596","https://openalex.org/W2299488510","https://openalex.org/W2494936206","https://openalex.org/W2615324427","https://openalex.org/W4243991303","https://openalex.org/W4251512373","https://openalex.org/W4254630587","https://openalex.org/W4292232969"],"related_works":["https://openalex.org/W2140171609","https://openalex.org/W1975248355","https://openalex.org/W2012062214","https://openalex.org/W1997562791","https://openalex.org/W2013239087","https://openalex.org/W2011706616","https://openalex.org/W3021318023","https://openalex.org/W2058788502","https://openalex.org/W2019822779","https://openalex.org/W2996329130"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":11},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
