Publications

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Journal Article
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).
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

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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., 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).
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.
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.
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.
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.
Diogo, T., P. Lima, and M. Rebelo. "Numerical solution of a nonlinear Abel type Volterra integral equation." Communications on Pure and Applied Analysis 5 (2006): 277-288.
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).
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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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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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.