{"id":"https://openalex.org/W3210947779","doi":"https://doi.org/10.1007/s40314-021-01678-1","title":"Numerical solving of nonlinear differential equations using a hybrid method on a semi-infinite interval","display_name":"Numerical solving of nonlinear differential equations using a hybrid method on a semi-infinite interval","publication_year":2021,"publication_date":"2021-10-26","ids":{"openalex":"https://openalex.org/W3210947779","doi":"https://doi.org/10.1007/s40314-021-01678-1","mag":"3210947779"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01678-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01678-1","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/A5024548982","display_name":"S. Mirshafiee","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152146","display_name":"Islamic Azad University Kerman","ror":"https://ror.org/04ywz9252","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210152146"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. Mirshafiee","raw_affiliation_strings":["Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran","institution_ids":["https://openalex.org/I4210152146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033046834","display_name":"M. Tavassoli Kajani","orcid":"https://orcid.org/0000-0003-3592-1304"},"institutions":[{"id":"https://openalex.org/I2799282979","display_name":"Islamic Azad University, Isfahan","ror":"https://ror.org/039zhhm92","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I2799282979"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M. Tavassoli Kajani","raw_affiliation_strings":["Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran","institution_ids":["https://openalex.org/I2799282979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034353925","display_name":"Hossein Sadeghi Goughery","orcid":"https://orcid.org/0000-0001-5066-7506"},"institutions":[{"id":"https://openalex.org/I4210152146","display_name":"Islamic Azad University Kerman","ror":"https://ror.org/04ywz9252","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210152146"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"H. Sadeghi Goughery","raw_affiliation_strings":["Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran","institution_ids":["https://openalex.org/I4210152146"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033046834"],"corresponding_institution_ids":["https://openalex.org/I2799282979"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14399702,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9950000047683716,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9837999939918518,"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/legendre-polynomials","display_name":"Legendre polynomials","score":0.8573566675186157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7517932653427124},{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.732142984867096},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.6789087057113647},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.6494813561439514},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5835104584693909},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5444227457046509},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.484367698431015},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4749101400375366},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.46884286403656006},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.4601687788963318},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45841357111930847},{"id":"https://openalex.org/keywords/associated-legendre-polynomials","display_name":"Associated Legendre polynomials","score":0.45254844427108765},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.44380074739456177},{"id":"https://openalex.org/keywords/legendre-function","display_name":"Legendre function","score":0.42670533061027527},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16507667303085327},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.1534014344215393},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.14546674489974976},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.09184777736663818},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.07023769617080688}],"concepts":[{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.8573566675186157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7517932653427124},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.732142984867096},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.6789087057113647},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6494813561439514},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5835104584693909},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5444227457046509},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.484367698431015},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4749101400375366},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.46884286403656006},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.4601687788963318},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45841357111930847},{"id":"https://openalex.org/C36956377","wikidata":"https://www.wikidata.org/wiki/Q228376","display_name":"Associated Legendre polynomials","level":5,"score":0.45254844427108765},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44380074739456177},{"id":"https://openalex.org/C153262748","wikidata":"https://www.wikidata.org/wiki/Q17098449","display_name":"Legendre function","level":3,"score":0.42670533061027527},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16507667303085327},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.1534014344215393},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.14546674489974976},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.09184777736663818},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.07023769617080688},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"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/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-021-01678-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01678-1","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W205853032","https://openalex.org/W232708175","https://openalex.org/W622405849","https://openalex.org/W1493686440","https://openalex.org/W1508464645","https://openalex.org/W1599524282","https://openalex.org/W1670132517","https://openalex.org/W1983422789","https://openalex.org/W1995426250","https://openalex.org/W1996317117","https://openalex.org/W2022861208","https://openalex.org/W2023405176","https://openalex.org/W2052507692","https://openalex.org/W2062911420","https://openalex.org/W2065466432","https://openalex.org/W2067548886","https://openalex.org/W2073476719","https://openalex.org/W2096498061","https://openalex.org/W2123799320","https://openalex.org/W2185603369","https://openalex.org/W2223296300","https://openalex.org/W2888747188","https://openalex.org/W2898551752","https://openalex.org/W2901128207","https://openalex.org/W2910390977","https://openalex.org/W2943441205","https://openalex.org/W2974916071","https://openalex.org/W2997123088","https://openalex.org/W3011762480","https://openalex.org/W3136916471","https://openalex.org/W3179760003","https://openalex.org/W4231202173","https://openalex.org/W4289365120","https://openalex.org/W4289549692"],"related_works":["https://openalex.org/W1607269076","https://openalex.org/W2953361964","https://openalex.org/W3130427480","https://openalex.org/W3005861762","https://openalex.org/W2025296287","https://openalex.org/W1988418937","https://openalex.org/W1984692426","https://openalex.org/W2183150594","https://openalex.org/W4317876274","https://openalex.org/W2385237360"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}