Publications

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H
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.
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, 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).
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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., 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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F
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., 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.
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.
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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E
Diogo, T., P. Lima, and M. Rebelo. Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation, In AIP Conference Proceedings- ICNAAM 2010, Vol. 1281,. Rhodes, Greece, 2010.
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.
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Ferrás, L., M. L. Morgado, and M. Rebelo. "A distributed order viscoelastic model for small deformations." In SYMCOMP 2021. Evora, Portugal, 2021.
C
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.
Diogo, T., P. Lima, and M. Rebelo. Comparative analysis of numerical methods for a nonlinear Volterra integral equation In Proceedings of Hercma. Athens, Greece, 2006.
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, 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.
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Morgado, M. L., and M. Rebelo. "Black-Scholes Equation with Distributed Order in Time." In Progress in Industrial Mathematics at ECMI 2018., 2019.
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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).
Allaei, S. S., T. Diogo, and M. Rebelo. "Analytical and computational methods for a class of nonlinear singular integral equations." Applied Numerical Mathematics 114 (2016): 2-17.
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.