Publications

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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.
A
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.
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).
B
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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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. "Collocation Solution of Fractional Differential Equations in Piecewise Nonpolynomial Spaces." In Differential and Difference Equations with Applications., 2020.
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., 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.
D
Ferrás, L., M. L. Morgado, and M. Rebelo. "A distributed order viscoelastic model for small deformations." In SYMCOMP 2021. Evora, Portugal, 2021.
E
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.
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.
F
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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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.
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.
G
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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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.
H
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).
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.
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, and M. Rebelo. "A Hybrid Numerical Scheme for Fractional-Order Systems." In Innovation, Engineering and Entrepreneurship., 2019.
I
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.
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.
J
Allaei, S. S., T. Diogo, and M. Rebelo. "The Jacobi Collocation Method for a Class of Nonlinear Volterra Integral Equations with Weakly Singular Kernel." Journal of Scientific Computing 69 (2016): 673-695.
M
Rebelo, M., T. Diogo, and S. McKee. "A Mathematical Treatment of the Fluorescence Capillary-Fill Device." SIAM, J. Applied Mathematics 72 (2012): 1081-1112.