Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.

Autores
Fernández, Francisco Marcelo
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that the differential transform is the well known Taylor series (contrary to what the authors claim) and that the differential transform method (DTM) is the well known Frobenius method, commonly used to obtain exact or approximate solutions to differential equations. The generalized transform method (GTM) is merely the application of Padé approximants to the Taylor series produced by the Frobenius method. We argue that the particular solutions to the differential-difference nonlinear equations are of scarce utility because the initial conditions are not flexible enough for practical physical applications.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Materia
DIFFERENTIAL TRANSFORM METHOD
DIFFERENTIAL-DIFFERENCE EQUATIONS
FROBENIUS METHOD
PADÉ APPROXIMANTS
TAYLOR SERIES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/171618
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.Fernández, Francisco MarceloDIFFERENTIAL TRANSFORM METHODDIFFERENTIAL-DIFFERENCE EQUATIONSFROBENIUS METHODPADÉ APPROXIMANTSTAYLOR SERIEShttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We show that the differential transform is the well known Taylor series (contrary to what the authors claim) and that the differential transform method (DTM) is the well known Frobenius method, commonly used to obtain exact or approximate solutions to differential equations. The generalized transform method (GTM) is merely the application of Padé approximants to the Taylor series produced by the Frobenius method. We argue that the particular solutions to the differential-difference nonlinear equations are of scarce utility because the initial conditions are not flexible enough for practical physical applications.Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaElsevier Science2021-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/171618Fernández, Francisco Marcelo; Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.; Elsevier Science; Physics Letters A; 406; 127430; 8-2021; 1-20375-9601CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2021.127430info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0375960121002942info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:10:05Zoai:ri.conicet.gov.ar:11336/171618instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:10:06.116CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
title Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
spellingShingle Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
Fernández, Francisco Marcelo
DIFFERENTIAL TRANSFORM METHOD
DIFFERENTIAL-DIFFERENCE EQUATIONS
FROBENIUS METHOD
PADÉ APPROXIMANTS
TAYLOR SERIES
title_short Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
title_full Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
title_fullStr Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
title_full_unstemmed Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
title_sort Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_role author
dc.subject.none.fl_str_mv DIFFERENTIAL TRANSFORM METHOD
DIFFERENTIAL-DIFFERENCE EQUATIONS
FROBENIUS METHOD
PADÉ APPROXIMANTS
TAYLOR SERIES
topic DIFFERENTIAL TRANSFORM METHOD
DIFFERENTIAL-DIFFERENCE EQUATIONS
FROBENIUS METHOD
PADÉ APPROXIMANTS
TAYLOR SERIES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We show that the differential transform is the well known Taylor series (contrary to what the authors claim) and that the differential transform method (DTM) is the well known Frobenius method, commonly used to obtain exact or approximate solutions to differential equations. The generalized transform method (GTM) is merely the application of Padé approximants to the Taylor series produced by the Frobenius method. We argue that the particular solutions to the differential-difference nonlinear equations are of scarce utility because the initial conditions are not flexible enough for practical physical applications.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
description We show that the differential transform is the well known Taylor series (contrary to what the authors claim) and that the differential transform method (DTM) is the well known Frobenius method, commonly used to obtain exact or approximate solutions to differential equations. The generalized transform method (GTM) is merely the application of Padé approximants to the Taylor series produced by the Frobenius method. We argue that the particular solutions to the differential-difference nonlinear equations are of scarce utility because the initial conditions are not flexible enough for practical physical applications.
publishDate 2021
dc.date.none.fl_str_mv 2021-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/171618
Fernández, Francisco Marcelo; Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.; Elsevier Science; Physics Letters A; 406; 127430; 8-2021; 1-2
0375-9601
CONICET Digital
CONICET
url http://hdl.handle.net/11336/171618
identifier_str_mv Fernández, Francisco Marcelo; Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.; Elsevier Science; Physics Letters A; 406; 127430; 8-2021; 1-2
0375-9601
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2021.127430
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0375960121002942
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846781458166841344
score 12.982451

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