Publications

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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
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., 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.
Morgado, M. L., and M. Rebelo. "Black-Scholes Equation with Distributed Order in Time." In Progress in Industrial Mathematics at ECMI 2018., 2019.
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.
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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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.
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.
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.
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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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.
Morgado, M. L., and M. Rebelo. "Numerical approximation of distributed order reaction–diffusion equations." Journal of Computational and Applied Mathematics 275 (2015): 216-227.