Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Magda Rebelo"'
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1975 (2021)
In this work, stable and convergent numerical schemes on nonuniform time meshes are proposed, for the solution of distributed-order diffusion equations. The stability and convergence of the numerical methods are proven, and a set of numerical results
Externí odkaz:
https://doaj.org/article/e2e022899f014cf8859c6d96e31bb170
Publikováno v:
Fluids, Vol 4, Iss 3, p 129 (2019)
This work presents new analytical and semi-analytical solutions for the pure Couette and Poiseuille−Couette flows, described by the recently proposed (Ferrás et al., A Generalised Phan-Thien−Tanner Model, JNNFM 2019) viscoelastic model, known as
Externí odkaz:
https://doaj.org/article/18b58354ade04d1bb7668f75c76076d5
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Taking into account the regularity properties of the solutions of fractional differential equations, we develop a numerical method which is able to deal, with the same accuracy, with both smooth and nonsmooth solutions of systems of fractional ordina
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ded110990e0d07d81ec51da759c5f6ab
https://doi.org/10.1007/s11786-019-00448-x
https://doi.org/10.1007/s11786-019-00448-x
Publikováno v:
Journal of Non-Newtonian Fluid Mechanics. 269:88-99
In this work we propose a novel generalised form of the Phan–Thien and Tanner (PTT) model by considering a new functional form of the nonlinear expression characterizing the destruction of physical network junctions and entanglements. This new func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fc253a3d5ce5d4fb88a2c5adc09cf35
https://doi.org/10.1016/j.jnnfm.2019.06.001
https://doi.org/10.1016/j.jnnfm.2019.06.001
Publikováno v:
Universidade Nova de Lisboa
In this work we discuss the connection between classical, fractional and dis- tributed order viscoelastic Maxwell models, presenting the basic theory supporting these constitutive equations, and establishing some background on the admissibility of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::108998df1290c579a20309ef15ee91a3
https://hdl.handle.net/1822/75101
https://hdl.handle.net/1822/75101
Autor:
Alexandre M. Afonso, A. M. Ribau, Manuel A. Alves, Fernando T. Pinho, M. L. Morgado, Luís Jorge Lima Ferrás, Magda Rebelo
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
This work presents new semi-analytical solutions for the combined fully developed electro-osmotic pressure-driven flow in microchannels of viscoelastic fluids, described by the generalised Phan-Thien–Tanner model (gPTT) recently proposed by Ferrás
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da800a05817ae092b77cfd366bb9ad76
Publikováno v:
Computational Science and Its Applications – ICCSA 2021 ISBN: 9783030869724
ICCSA (4)
ICCSA (4)
This work presents a numerical method for the solution of two coupled distributed-order fractional differential equations, that appear in the pure tangential flow of fluids modelled by the Distributed-Order Viscoelastic Model. We prove the solvabilit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45b1b08789e5b0c88c3603d3af76d913
https://doi.org/10.1007/978-3-030-86973-1_29
https://doi.org/10.1007/978-3-030-86973-1_29
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 100
This work presents analytical and numerical studies for pure Couette and combined Poiseuille‐Couette flows under slip. The fluid behaviour is described by the recently proposed viscoelastic model, known as the generalised simplified Phan‐Thien‐
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cc51ccf0b2467c29a5e811d88ea1d67
https://doi.org/10.1002/zamm.201900183
https://doi.org/10.1002/zamm.201900183
Autor:
Magda Rebelo, M. Luísa Morgado
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030563226
In this paper, we develop an accurate collocation scheme for ordinary initial value problems of the Caputo type and in order to illustrate the performance of the method we provide several numerical examples. At the end, we also indicate how this meth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74e1d664e20ca87c3e62e50c84e296a7
https://doi.org/10.1007/978-3-030-56323-3_36
https://doi.org/10.1007/978-3-030-56323-3_36
Publikováno v:
Applied Numerical Mathematics. 114:2-17
We consider a class of nonlinear singular Hammerstein Volterra integral equations. In general, these equations will have kernels containing both an end point and an Abel-type singularity, with exact solutions being typically nonsmooth. Under certain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79bdf934e84faa88ea27059b1a25103e
https://doi.org/10.1016/j.apnum.2016.06.001
https://doi.org/10.1016/j.apnum.2016.06.001