Magda Rebelo
Assistant Professor, Department of Mathematics
msjr@fct.unl.pt
(email)
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Journal Article
Ribau, A. M., L. Ferrás, M. L. Morgado, M. Rebelo, and A. Afonso.
"
Analytical and numerical studies for slip flows of a generalised Phan-Thien-Tanner fluid
."
ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik
100 (2020).
Lemos, A., A. Abraão, B. Cruz, M. L. Morgado, M. Rebelo, and F. M. Nunes.
"
Effect of granular characteristics on the viscoelastic and mechanical properties of native chestnut starch (Castanea sativa Mill)
."
Food Hydrocolloids
51 (2015): 305-317.
Ferrás, L., N. Ford, J. Nóbrega, M. L. Morgado, and M. Rebelo.
"
Fractional Pennes’ Bioheat Equation: Theoretical and Numerical Studies
."
Fractional Calculus and Applied Analysis
18 (2015): 1080-10106.
Diogo, T., J. Ma, and M. Rebelo.
"
Fully discretized collocation methods for a nonlinear singular Volterra integral equation
."
Journal of Computational and Applied Mathematics
247 (2013): 84-101.
Ferrás, L., M. L. Morgado, and Magda Rebelo.
"
A generalised distributed-order Maxwell model
."
Mathematical Methods in the Applied Sciences
46 (2023): 368-387.
Abstract
n/a
Ferrás, L. L., M. L. Morgado, M. Rebelo, G. H. Mckinley, and A. Afonso.
"
A generalised Phan-Thien -Tanner model
."
Journal of Non-Newtonian Fluid Mechanics
269 (2019): 88-99.
Ferrás, L., N. Ford, M. L. Morgado, and M. Rebelo.
"
High-Order Methods for Systems of Fractional Ordinary Differential Equations and Their Application to Time-Fractional Diffusion Equations
."
Mathematics in Computer Science
(2020).
Ford, N., M. L. Morgado, and M. Rebelo.
"
An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
."
Electronic transactions on numerical analysis ETNA
44 (2015): 289-305.
Rebelo, M., T. Diogo, and S. McKee.
"
A Mathematical Treatment of the Fluorescence Capillary-Fill Device
."
SIAM, J. Applied Mathematics
72 (2012): 1081-1112.
Martins, N., and M. Rebelo.
"
A meshfree method for elasticity problems with interfaces
."
Applied Mathematics and Computation
219 (2013): 10732-10745 .
Martins, N., and M. Rebelo.
"
Meshfree methods for nonhomogeneous Brinkman flows
."
Computers and Mathematics with Applications
68 (2014): 872-886.
Website
Ford, Neville J., Luísa M. Morgado, and Magda Rebelo.
"
Nonpolynomial collocation approximation of solutions to fractional differential equation
."
Fractional Calculus and Applied Analysis
16 (2013): 874-891.
Morgado, M. L., and M. Rebelo.
"
Numerical approximation of distributed order reaction–diffusion equations
."
Journal of Computational and Applied Mathematics
275 (2015): 216-227.
Morgado, M. L., M. Rebelo, L. L. Ferrás, and N. Ford.
"
Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method
."
Applied Numerical Mathematics
114 (2016): 108-123.
Ferrás, L., N. Ford, M. L. Morgado, M. Rebelo, J. Nóbrega, and G. H. Mckinley.
"
A primer on experimental and computational rheology with fractional viscoelastic constitutive models
."
AIP Conference Proceedings
(2017): 1-13.
Ribau, A. M., L. Ferrás, M. L. Morgado, M. Rebelo, and A. Afonso.
"
Semi-Analytical Solutions for the Poiseuille-Couette Flow of a Generalised Phan-Thien-Tanner Fluid
."
Fluids
2 (2019).
Morgado, Lu{\'ısa M., Magda Rebelo, and Lu{\'ıs L. Ferrás.
"
Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
."
Mathematics
9 (2021): 1975.
Abstract
n/a
Ribau, A. M., L. L. Ferrás, M. L. Morgado, M. Rebelo, M. A. Alves, F. T. Pinho, and A. M. Afonso.
"
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid
."
Journal of Engineering Mathematics
127 (2021).
Ferrás, L., N. Ford, L. Morgado, M. Rebelo, G. H. Mckinley, and J. Nóbrega.
"
Theoretical and Numerical Analysis of Unsteady Fractional Viscoelastic Flows in Simple Geometries
."
Computers & Fluids
174 (2018): 14-33.
Morgado, L., and M. Rebelo.
"
Well-posedness and numerical approximation of tempered fractional terminal value problems
."
Fractional Calculus and Applied Analysis
20 (2017): 1239-1262.
Conference Proceedings
Martins, N., and M. Rebelo.
The method of fundamental solutions for elasticity problems with interfaces
In
Proceedings of 7th International Conference of the Croatian Society of Mechanics
. Zadar, Croatia, 2012.
Morgado, M. L., N. J. Ford, and M. Rebelo.
A non-polynomial collocation method for fractional terminal value problems
In
AIP Conference Proceedings- ICNAAM 2012, Vol. 1479,
. Kos, Greece, 2012.
N.J.Ford, M. L. Morgado, and M. Rebelo.
Nonpolynomial approximation of solutions to delay fractional differential equations
In
Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE2013
. Almería , Spain.: ISBN:978-84-616-2723-3, 2013.
Conference Paper
Morgado, M. L., and M. Rebelo.
"
Chebyshev Spectral Approximation for Diffusion Equations with Distributed Order in Tim
." In
International Conference on Differential & Difference Equations and Applications
., 2016.
Morgado, M. L., L. Ferrás, and M. Rebelo.
"
Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient
." In
15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2015)
., 2015.
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Recent Publications
Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
A generalised distributed-order Maxwell model
Finite Difference Schemes with Non-uniform Time Meshes for Distributed-Order Diffusion Equations
A spectral approach to non-linear weakly singular fractional integro-differential equations
A distributed order viscoelastic model for small deformations
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid
more