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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/171618
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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 Técnicas2025-09-29T09:41:30Zoai: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:34982025-09-29 09:41:31.408CONICET 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 |
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1844613311127093248 |
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13.070432 |