Publications

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Journal Article
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.
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).
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.