{"id":"https://openalex.org/W3013745691","doi":"https://doi.org/10.1007/s40314-020-01141-7","title":"The bivariate M\u00fcntz wavelets composite collocation method for solving space-time-fractional partial differential equations","display_name":"The bivariate M\u00fcntz wavelets composite collocation method for solving space-time-fractional partial differential equations","publication_year":2020,"publication_date":"2020-03-29","ids":{"openalex":"https://openalex.org/W3013745691","doi":"https://doi.org/10.1007/s40314-020-01141-7","mag":"3013745691"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01141-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01141-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied 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/A5027725316","display_name":"Parisa Rahimkhani","orcid":"https://orcid.org/0000-0002-1286-3087"},"institutions":[{"id":"https://openalex.org/I67080706","display_name":"Alzahra University","ror":"https://ror.org/013cdqc34","country_code":"IR","type":"education","lineage":["https://openalex.org/I67080706"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Parisa Rahimkhani","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran","institution_ids":["https://openalex.org/I67080706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038764373","display_name":"Yadollah Ordokhani","orcid":"https://orcid.org/0000-0002-5167-6874"},"institutions":[{"id":"https://openalex.org/I67080706","display_name":"Alzahra University","ror":"https://ror.org/013cdqc34","country_code":"IR","type":"education","lineage":["https://openalex.org/I67080706"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Yadollah Ordokhani","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran","institution_ids":["https://openalex.org/I67080706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027725316"],"corresponding_institution_ids":["https://openalex.org/I67080706"],"apc_list":null,"apc_paid":null,"fwci":0.3503,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.66335294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"39","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9907000064849854,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9847000241279602,"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/mathematics","display_name":"Mathematics","score":0.7724366188049316},{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.6775400638580322},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.6348334550857544},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.6113703846931458},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5614578723907471},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5392526388168335},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5370330810546875},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5216439366340637},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5132012367248535},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.5095760822296143},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.4167141318321228},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37618595361709595},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2914765477180481},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.18194496631622314},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.14235281944274902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10524329543113708},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.085517019033432},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07745292782783508}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7724366188049316},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.6775400638580322},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.6348334550857544},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.6113703846931458},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5614578723907471},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5392526388168335},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5370330810546875},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5216439366340637},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5132012367248535},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.5095760822296143},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.4167141318321228},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37618595361709595},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2914765477180481},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.18194496631622314},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.14235281944274902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10524329543113708},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.085517019033432},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07745292782783508},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"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:10.1007/s40314-020-01141-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01141-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied 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":55,"referenced_works":["https://openalex.org/W953927174","https://openalex.org/W1532154335","https://openalex.org/W1582705120","https://openalex.org/W1870321888","https://openalex.org/W1964137308","https://openalex.org/W1968819460","https://openalex.org/W1969446688","https://openalex.org/W1970546830","https://openalex.org/W1971947347","https://openalex.org/W1972478479","https://openalex.org/W1985438383","https://openalex.org/W1985588545","https://openalex.org/W1998561306","https://openalex.org/W2000548100","https://openalex.org/W2023153411","https://openalex.org/W2032495860","https://openalex.org/W2033317678","https://openalex.org/W2033598679","https://openalex.org/W2034221093","https://openalex.org/W2037423068","https://openalex.org/W2039785146","https://openalex.org/W2040466254","https://openalex.org/W2041437724","https://openalex.org/W2042250814","https://openalex.org/W2057414857","https://openalex.org/W2058330335","https://openalex.org/W2060462514","https://openalex.org/W2063052480","https://openalex.org/W2066016807","https://openalex.org/W2071033102","https://openalex.org/W2083032995","https://openalex.org/W2089714782","https://openalex.org/W2090303355","https://openalex.org/W2094585768","https://openalex.org/W2116807840","https://openalex.org/W2130620182","https://openalex.org/W2134264301","https://openalex.org/W2165076033","https://openalex.org/W2314485382","https://openalex.org/W2389984057","https://openalex.org/W2407973543","https://openalex.org/W2497838162","https://openalex.org/W2554093164","https://openalex.org/W2663670568","https://openalex.org/W2736655775","https://openalex.org/W2742489936","https://openalex.org/W2775330857","https://openalex.org/W2792521435","https://openalex.org/W2802986201","https://openalex.org/W2908020738","https://openalex.org/W2963596769","https://openalex.org/W3098199801","https://openalex.org/W4238663582","https://openalex.org/W4248849775","https://openalex.org/W4301866048"],"related_works":["https://openalex.org/W2462438656","https://openalex.org/W2357310454","https://openalex.org/W2288349649","https://openalex.org/W2385237360","https://openalex.org/W2789913125","https://openalex.org/W2089945891","https://openalex.org/W4317876274","https://openalex.org/W2042250814","https://openalex.org/W2164634622","https://openalex.org/W2183342624"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}