{"id":"https://openalex.org/W3091180241","doi":"https://doi.org/10.1145/3419635.3419709","title":"On Teaching Method of Numerical Solution to Partial Differential Equations Based on Mathematical Thinking Methods","display_name":"On Teaching Method of Numerical Solution to Partial Differential Equations Based on Mathematical Thinking Methods","publication_year":2020,"publication_date":"2020-09-19","ids":{"openalex":"https://openalex.org/W3091180241","doi":"https://doi.org/10.1145/3419635.3419709","mag":"3091180241"},"language":"en","primary_location":{"id":"doi:10.1145/3419635.3419709","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3419635.3419709","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2020 International Conference on Computers, Information Processing and Advanced Education","raw_type":"proceedings-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/A5100734064","display_name":"Chenliang Li","orcid":"https://orcid.org/0000-0001-8166-0243"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenliang Li","raw_affiliation_strings":["Guilin University of Electronic Technology, Guilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077970878","display_name":"Cuiyu Liu","orcid":"https://orcid.org/0000-0003-3120-0681"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cuiyu Liu","raw_affiliation_strings":["Guilin University of Electronic Technology, Guilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19682075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"442","last_page":"445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9628000259399414,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6385214328765869},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.5336326956748962},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5221155881881714},{"id":"https://openalex.org/keywords/teaching-method","display_name":"Teaching method","score":0.4677783250808716},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4502153992652893},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.3312162756919861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27584409713745117},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11826485395431519}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6385214328765869},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.5336326956748962},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5221155881881714},{"id":"https://openalex.org/C88610354","wikidata":"https://www.wikidata.org/wiki/Q1813494","display_name":"Teaching method","level":2,"score":0.4677783250808716},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4502153992652893},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3312162756919861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27584409713745117},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11826485395431519}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3419635.3419709","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3419635.3419709","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2020 International Conference on Computers, Information Processing and Advanced Education","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7699999809265137,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W133223177","https://openalex.org/W1964132351","https://openalex.org/W2027922926","https://openalex.org/W2092536451","https://openalex.org/W2122909371","https://openalex.org/W2522440421","https://openalex.org/W2580652867","https://openalex.org/W3154402136","https://openalex.org/W4244680398"],"related_works":["https://openalex.org/W2357002993","https://openalex.org/W3196497253","https://openalex.org/W2105306705","https://openalex.org/W2029287765","https://openalex.org/W4298098376","https://openalex.org/W2791287522","https://openalex.org/W1605980565","https://openalex.org/W3159680384","https://openalex.org/W4281393425","https://openalex.org/W3092397470"],"abstract_inverted_index":{"In":[0],"this":[1,34,58,66],"paper,":[2],"we":[3],"study":[4],"the":[5,18,29,40,46,62],"teaching":[6,30,63],"methods":[7,21],"of":[8,22,28,52,65],"Numerical":[9],"Solution":[10],"to":[11],"Partial":[12],"Differential":[13],"Equations,":[14],"in":[15],"which":[16],"training":[17],"mathematical":[19],"thinking":[20],"students":[23,41],"being":[24],"as":[25],"a":[26],"core":[27],"tasks.":[31],"By":[32],"using":[33],"method,":[35],"it":[36],"is":[37],"shown":[38],"that,":[39],"not":[42],"only":[43],"can":[44,60],"learn":[45],"knowledge,":[47],"also":[48],"improve":[49,61],"their":[50],"abilities":[51],"analyzing":[53],"and":[54],"solving":[55],"problems.":[56],"Therefore,":[57],"method":[59],"qualities":[64],"course.":[67]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
