Publications

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2015
Morgado, M. L., and M. Rebelo. "Numerical approximation of distributed order reaction–diffusion equations." Journal of Computational and Applied Mathematics 275 (2015): 216-227.
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.
Martins, N., and M. Rebelo. "Meshfree methods for nonhomogeneous Brinkman flows." Computers and Mathematics with Applications 68 (2014): 872-886.Website
Rebelo, M., T. Diogo, and S. McKee. "Modelling a Competitive Antibody/Antigen Chemical Reaction that Occurs in the Fluorescence Capillary-Fill Device." In Progress in Industrial Mathematics at ECMI 2012., 2014.
2013
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.
Martins, N., and M. Rebelo. "A meshfree method for elasticity problems with interfaces." Applied Mathematics and Computation 219 (2013): 10732-10745 .
N.J.Ford, M. L. Morgado, and M. Rebelo. Nonpolynomial approximation of solutions to delay fractional differential equations In Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE2013. Almería , Spain.: ISBN:978-84-616-2723-3, 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
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. The method of fundamental solutions for elasticity problems with interfaces In Proceedings of 7th International Conference of the Croatian Society of Mechanics. Zadar, Croatia, 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.