Publications

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2023
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

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2022
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
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Faghih, Amin, and Magda Rebelo. "A spectral approach to non-linear weakly singular fractional integro-differential equations." Fractional Calculus and Applied Analysis (2022): 1-29. Abstract
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2021
Ferrás, L., M. L. Morgado, and M. Rebelo. "A distributed order viscoelastic model for small deformations." In SYMCOMP 2021. Evora, Portugal, 2021.
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).
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
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2020
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).
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).
2019
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. "A Hybrid Numerical Scheme for Fractional-Order Systems." In Innovation, Engineering and Entrepreneurship., 2019.
Ferrás, L. L., M. L. Morgado, M. Rebelo, R. T. Leiva, A. Castelo, G. H. Mckinley, and A. M. Afonso. "Recent Advances in Complex Fluids Modeling." In Fluid Flow Problems., 2019.
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).
2018
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.
2017
Ferrás, L., N. Ford, M. L. Morgado, M. Rebelo, and G. H. Mckinley. "HOW NON-INTEGER ORDER DERIVATIVES CAN BE USEFUL TO RHEOLOGY." In SYMCOMP 2017., 2017.
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.
Ferrás, L., M. L. Morgado, M. Rebelo, G. H. Mckinley, and J. Nóbrega. "A primer on experimental and computational rheology with fractional viscoelastic constitutive models." In NOVEL TRENDS IN RHEOLOGY VII. AIP Conference Proceedings 1843(1):, 2017.
2016
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.
2015
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.
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.
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.
2014
Ferrás, L., N. Ford, L. Morgado, and M. Rebelo. "A numerical method for the solution of the time-fractional diffusion equation." In Computational Science and Its Applications – ICCSA 2014, edited by B. M. Torre, S. Misra, A. M. A. C. Rocha, C. Torre, J. G. Rocha, M. I. Falcão, D. Taniar, B. Apduhan and O.Gervasi, 117-131. Switzerland: Springer International Publishing, 2014.
Ferrás, L., M. Rebelo, and M. L. Morgado. "Fractional modelling of Pennes' bioheat equation using distributed order differential equations." In 14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014)., 2014.
2013
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.
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.