Magda Rebelo
Assistant Professor, Department of Mathematics
msjr@fct.unl.pt
(email)
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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).
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).
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).
Rebelo, M., T. Diogo, and S. McKee.
"
A Mathematical Treatment of the Fluorescence Capillary-Fill Device
."
SIAM, J. Applied Mathematics
72 (2012): 1081-1112.
Rebelo, M., and T. Diogo.
"
A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel
."
Journal of Computational and Applied Mathematics
234 (2010): 2859-2869.
Rebelo, M., T. Diogo, and S. McKee.
"
Modelling a Competitive Antibody/Antigen Chemical Reaction that Occurs in the Fluorescence Capillary-Fill Device
." In
Progress in Industrial Mathematics at ECMI 2012
., 2014.
N
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.
M
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.
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., and M. Rebelo.
"
Black-Scholes Equation with Distributed Order in Time
." In
Progress in Industrial Mathematics at ECMI 2018
., 2019.
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.
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., and M. Rebelo.
"
Collocation Solution of Fractional Differential Equations in Piecewise Nonpolynomial Spaces
." In
Differential and Difference Equations with Applications
., 2020.
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
Morgado, M. L., M. Rebelo, and L. L. Ferrás.
"
Finite Difference Schemes with Non-uniform Time Meshes for Distributed-Order Diffusion Equations
." In
Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21)
, 239-244. Springer, 2022.
Abstract
n/a
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.
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.
Morgado, M. L., and M. Rebelo.
"
Introducing graded meshes in the numerical approximation of distributed-order diffusion equations
." In
NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS (NUMTA–2016)
., 2016.
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.
Martins, N., and M. Rebelo.
"
Meshfree methods for nonhomogeneous Brinkman flows
."
Computers and Mathematics with Applications
68 (2014): 872-886.
Website
Martins, N., and M. Rebelo.
"
A meshfree method for elasticity problems with interfaces
."
Applied Mathematics and Computation
219 (2013): 10732-10745 .
L
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.
F
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.
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.
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.
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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