{"id":"https://openalex.org/W2599120627","doi":"https://doi.org/10.1007/s00366-017-0510-5","title":"Numerical investigation based on direct meshless local Petrov Galerkin (direct MLPG) method for solving generalized Zakharov system in one and two dimensions and generalized Gross\u2013Pitaevskii equation","display_name":"Numerical investigation based on direct meshless local Petrov Galerkin (direct MLPG) method for solving generalized Zakharov system in one and two dimensions and generalized Gross\u2013Pitaevskii equation","publication_year":2017,"publication_date":"2017-03-28","ids":{"openalex":"https://openalex.org/W2599120627","doi":"https://doi.org/10.1007/s00366-017-0510-5","mag":"2599120627"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-017-0510-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-017-0510-5","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"Engineering with Computers","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/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 Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051159072","display_name":"Mostafa Abbaszadeh","orcid":"https://orcid.org/0000-0001-6954-3896"},"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":"Mostafa Abbaszadeh","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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":3.2634,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.91126586,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"33","issue":"4","first_page":"983","last_page":"996"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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":0.9995999932289124,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regularized-meshless-method","display_name":"Regularized meshless method","score":0.8498823642730713},{"id":"https://openalex.org/keywords/petrov\u2013galerkin-method","display_name":"Petrov\u2013Galerkin method","score":0.8387326598167419},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7471425533294678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.718834400177002},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.6976195573806763},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.551170825958252},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.543144166469574},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.540917694568634},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5187011957168579},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5065635442733765},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48237791657447815},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.46821287274360657},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.4613613486289978},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.24850499629974365},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1956605613231659},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.16048628091812134},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14003336429595947},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10707411170005798}],"concepts":[{"id":"https://openalex.org/C177562122","wikidata":"https://www.wikidata.org/wiki/Q7309629","display_name":"Regularized meshless method","level":5,"score":0.8498823642730713},{"id":"https://openalex.org/C2778540877","wikidata":"https://www.wikidata.org/wiki/Q7179155","display_name":"Petrov\u2013Galerkin method","level":3,"score":0.8387326598167419},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7471425533294678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.718834400177002},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6976195573806763},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.551170825958252},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.543144166469574},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.540917694568634},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5187011957168579},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5065635442733765},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48237791657447815},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.46821287274360657},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.4613613486289978},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.24850499629974365},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1956605613231659},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.16048628091812134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14003336429595947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10707411170005798},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00366-017-0510-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-017-0510-5","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"Engineering with Computers","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":73,"referenced_works":["https://openalex.org/W120908808","https://openalex.org/W582552193","https://openalex.org/W920894906","https://openalex.org/W1048494926","https://openalex.org/W1623557273","https://openalex.org/W1858668561","https://openalex.org/W1968779197","https://openalex.org/W1968883776","https://openalex.org/W1976571953","https://openalex.org/W1984696323","https://openalex.org/W1986928470","https://openalex.org/W1990661324","https://openalex.org/W1991566405","https://openalex.org/W1993323295","https://openalex.org/W1998941030","https://openalex.org/W1999261086","https://openalex.org/W2005720059","https://openalex.org/W2012624027","https://openalex.org/W2014231970","https://openalex.org/W2020962221","https://openalex.org/W2024620430","https://openalex.org/W2026106782","https://openalex.org/W2027319740","https://openalex.org/W2027476489","https://openalex.org/W2028280247","https://openalex.org/W2032273076","https://openalex.org/W2035888161","https://openalex.org/W2038588076","https://openalex.org/W2039138709","https://openalex.org/W2041219821","https://openalex.org/W2045471241","https://openalex.org/W2045812925","https://openalex.org/W2049165066","https://openalex.org/W2053567007","https://openalex.org/W2056935789","https://openalex.org/W2057265674","https://openalex.org/W2059176502","https://openalex.org/W2059262195","https://openalex.org/W2060295595","https://openalex.org/W2062807261","https://openalex.org/W2066314906","https://openalex.org/W2069346338","https://openalex.org/W2072250658","https://openalex.org/W2078186744","https://openalex.org/W2082508631","https://openalex.org/W2083561837","https://openalex.org/W2083711063","https://openalex.org/W2084154755","https://openalex.org/W2088914151","https://openalex.org/W2089189166","https://openalex.org/W2091355226","https://openalex.org/W2105819360","https://openalex.org/W2111668512","https://openalex.org/W2111828255","https://openalex.org/W2119838320","https://openalex.org/W2125775582","https://openalex.org/W2134996260","https://openalex.org/W2145364658","https://openalex.org/W2148241267","https://openalex.org/W2152727585","https://openalex.org/W2157213901","https://openalex.org/W2189176737","https://openalex.org/W2214070453","https://openalex.org/W2216421203","https://openalex.org/W2233399309","https://openalex.org/W2241108684","https://openalex.org/W2252570682","https://openalex.org/W2324487000","https://openalex.org/W2325849220","https://openalex.org/W2340001800","https://openalex.org/W2346327459","https://openalex.org/W2492427164","https://openalex.org/W2509149516"],"related_works":["https://openalex.org/W2137495598","https://openalex.org/W4254985939","https://openalex.org/W2349418032","https://openalex.org/W2101712729","https://openalex.org/W3185770440","https://openalex.org/W2996329130","https://openalex.org/W2953818137","https://openalex.org/W2129125972","https://openalex.org/W2145364658","https://openalex.org/W2056364361"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}