Papers in International Journals

• N. J. Ford; Morgado, M. Luísa; Rebelo, Magda (2015) A nonpolynomial collocation method for fractional terminal value problems Journal of Computational and Applied Mathematics: 275, 392-402.

• N. J. Ford; Morgado, M. Luísa; Rebelo, Magda (2015) An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time Electronic Transactions on Numerical Analysis: 44, 289 - 305.

• Bulatov, M.; Lima, Pedro M.; Than, Do Tien (2015) An integral method for the numerical solution of nonlinear singular boundary value problems Bulletin of the South Ural State University, Ser. Mathematical Modelling, Programming & Computer Software: 8, 5-13.

• André Lemos; Ana S. Abraão; Bruno R Cruz; Morgado, M. Luísa; Rebelo, Magda; Fernando M. Nunes (2015) Effect of granular characteristics on the viscoelastic and mechanical properties of native chestnut starch (Castanea sativa Mill) Food Hydrocolloids: 51, 305-317.

• Luis L. Ferrás; Neville J. Ford; Morgado, M. Luísa; João M. Nóbrega; Rebelo, Magda (2015) Fractional Pennes’ Bioheat Equation: Theoretical and Numerical Studies Fractional Calculus and Applied Analysis: 18(4), 1080 -- 1106.

• Morgado, M. Luísa; Morgado, L. F.; Silva, N.; Morais, R. (2015) Mathematical modelling of cylindrical electromagnetic vibration energy harvesters International Journal of Computer Mathematics: 92(1), 101-109.

• Lima, Pedro M.; Buckwar, E. (2015) Numerical solution of the neural field equation in the two-dimensional case SIAM Journal o Scientific Computing: 37, B962-B979.

• Morgado, M. Luísa; Rebelo, Magda (2015) Numerical approximation of distributed order nonlinear reaction-diffusion equations Journal of Computational and Applied Mathematics: 275, 216-227.

• L. F. Morgado; Morgado, M. Luísa (2015) Numerical modelling transient current in the time-of-flight experiment with time-fractional advection-diffusion equations Journal of Mathematical Chemistry: 53(3), 951-956.

• Lima, Pedro M.; E. Buckwar (2015) Numerical solution of the neural field equation in the two-dimensional case SIAM Journal of Scientific Computing: 37, B962- B979.

• Shurong Sun,; Morgado, M. Luísa; Jehad Alzabut; Ivanka Stamova (2015) Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics Abstract and Applied Analysis, 1-2.

• Graca, M.M.; Lima, Pedro M. (2015) Root finding by high order iterative methods based on quadratures Applied Mathematics and Computation: 264, 466-482.

• Kulikov, Gennady Yu; Lima, Pedro M.; Morgado, M. Luísa (2014) Analysis and Numerical Approximation of Singular Boundary Value Problems with the P-Laplacian in Fluid Mechanics Journal of Computational and Applied Mathematics: 262, 87-104.

• Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. (2014) Computational Methods for a Mathematical Model of Propagation of Nerve Impulses in Myelinated Axons Applied Numerical Mathematics: 85, 38-53.

• Bulatov, Mikhail V.; Lima, Pedro M.; Weinmüller, Ewa B.  (2014) Existence and uniqueness of solutions to weakly singular integral-algebraic and integro differential equations Central European Journal of Mathematics: 12(2), 308-321.

• Ford , N.; Morgado, M. Luísa; Rebelo, Magda (2014) High order numerical methods for fractional terminal value problems Computational Methods in Applied Mathematics: 14(1), 55-70.

• Silvestre, Ana Leonor; Takahashi, Takeo (2014) The Motion of a Fluid-Rigid Ball System at the Zero Limit of the Rigid Ball Radius Archive for Rational Mechanics and Analysis: 211(3), 991-1012.

• Morgado, M. Luísa; Ford, N. J.; Lima, Pedro M. (2013) Analysis and Numerical Methods for Fractional Differential Equations with Delay Journal of Computational and Applied Mathematics: 252, 159-168.

• Diogo, Teresa; Vainikko, G. (2013) Applicability of spline collocation to Cordial Volterra equations Mathematical Modelling and Analysis: 18(1), 1-21.

• Saberi-Nadjafi, J.; Mehrabinezhad, M.; Diogo, Teresa (2013) Coiflet-Galerkin method for linear Volterra integral equations Applied Mathematics and Computation: 221, 469-483.

• Hastermann, G.; Lima, Pedro M.; Morgado, M. Luísa; Weinmüller, E.B. (2013) Density profile equation with p-Laplacian: analysis and numerical simulation Applied Mathematics and Computation: 225, 550-561.

• Diogo, Teresa; Ma, Jingtang; Rebelo, Magda (2013) Fully Discretized Collocation Methods for Nonlinear Singular Volterra Integral Equations Journal of Computational and Applied Mathematics: 247, 84-101.

• Ford, N.; Morgado, M. Luísa; Rebelo, Magda (2013) Nonpolynomial collocation approximation of solutions to fractional differential equations Fractional Calculus and Applied Analysis: 16(4), 874-891.

• Lima, Pedro M.; Nemati, S.; Ordokhani, Y. (2013) Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials Journal of Computational and Applied Mathematics: 242, 53-69.

• Rebelo, Magda; Diogo, Teresa; Mckee, Sean (2012) A Mathematical Treatment of the Fluorescence Capillary-Fill Device SIAM Journal on Applied Mathematics: 72(4), 1081-1112.

• Ford, N. J.; Morgado, M. Luísa (2012) Distributed Order Equations as Boundary Value Problems Computers & Mathematics with Applications: 64(10), 2973-2981.

• Lima, Pedro M.; Morgado, M. Luísa (2012) Efficient computational methods for singular free boundary problems using smoothing variable substitutions Journal of Computational and Applied Mathematics: 236(12), 2981-2989.

• Silvestre, Ana Leonor (2012) Existence and Uniqueness of Time-Periodic Solutions with Finite Kinetic Energy for the Navier-Stokes Equations in R^3 Nonlinearity: 25(1), 37-55.

• Silvestre, Ana Leonor; Takahashi, Takéo (2012) On the Motion of a Rigid Body with a Cavity Filled with a Viscous Liquid Proceedings of the Royal Society of Edinburgh Section A-Mathematics: 142(2), 391-423.

• Ford, Neville J.; Morgado, M. Luísa (2011) Fractional Boundary Value Problems: Analysis and Numerical Methods Fractional Calculus and Applied Analysis: 14(4), 554-567.

• Babolian, E.; Bazm, S.; Lima, Pedro M. (2011) Numerical Solution of Nonlinear Two-Dimensional Integral Equations Using Rationalized Haar Functions Communications in Nonlinear Science and Numerical Simulation: 16(3), 1164-1175.

• Bulatov, M.V. ; Lima, Pedro M. (2011) Two-dimensional integral-algebraic systems: analysis and computational methods Journal of Computational and Applied Mathematics: 236(12), 132-140.

• Rebelo, Magda; Diogo, Teresa (2010) A Hybrid Collocation Method for a Nonlinear Volterra Integral Equation with Weakly Singular Kernel Journal of Computational and Applied Mathematics: 234(9), 2859-2869.

• Antunes, Pedro R. S.; Valtchev, Svilen S.  (2010) A Meshfree Numerical Method for Acoustic Wave Propagation Problems in Planar Domains with Corners and Cracks Journal of Computational and Applied Mathematics: 234(9), 2646-2662.

• Lima, Pedro M.; Teodoro, Filomena; Ford, Neville J.; Lumb, Patricia M. (2010) Analytical and Numerical Investigation of Mixed-Type Functional Differential Equations Journal of Computational and Applied Mathematics: 234(9), 2826-2837.

• Morgado, M. Luísa; Lima, Pedro M. (2010) Finite Difference Solution of a Singular Boundary Value Problem for the P-Laplace Operator Numerical Algorithms: 55(2-3), 337-348.

• Lima, Pedro M.; Teodoro, Filomena; Ford, Neville J.; Lumb, Patricia M. (2010) Finite Element Solution of a Linear Mixed-Type Functional Differential Equation Numerical Algorithms: 55(2-3), 301-320.

• Lima, Pedro M.; Morgado, M. Luísa (2010) Numerical Modelling of Oxygen Diffusion in Cells with Michaelis-Menten Uptake Kinetics Journal of Mathematical Chemistry: 48(1), 145-158.

• Morgado, M. Luísa; Lima, Pedro M. (2010) Numerical Solution of a Class of Singular Free Boundary Problems Involving the M-Laplace Operator Journal of Computational and Applied Mathematics: 234(9), 2838-2847.

• Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, Filomena (2010) The Numerical Solution of Forward-Backward Differential Equations: Decomposition and Related Issues Journal of Computational and Applied Mathematics: 234(9), 2745-2756.

• Lima, Pedro M.; Morgado, M. Luísa (2009) Analytical-numerical investigation of a singular boundary value problem for a generalized Emden–Fowler equation Journal of Computational and Applied Mathematics: 229(2), 480-487.

• Diogo, Teresa (2009) Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations Journal of Computational and Applied Mathematics: 229(2), 363-372.

• Teodoro, Filomena; Lima, Pedro M.; Ford, N.; Lumb, P. (2009) New approach to the numerical solution of forward-backward equations Frontiers of Mathematics in China: 4(1), 155-168.

• Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. (2009) New Approach to the Numerical Solution of Forward-Backward Equations Frontiers of Mathematics in China: 4(1), 155-168.

• Galdi, Giovanni P.; Silvestre, Ana Leonor (2009) On the Motion of a Rigid Body in a Navier-Stokes Liquid Under the Action of a Time-Periodic Force Indiana University Mathematics Journal: 58(6), 2805-2842.

• Alves, Carlos J. S.; Silvestre, Ana Leonor; Takahashi, Takeo; Tucsnak, Marius (2009) Solving Inverse Source Problems Using Observability. Applications to the Euler-Bernoulli Plate Equation SIAM Journal on Control and Optimization: 48(3), 1632-1659.

• Silvestre, Ana Leonor (2009) Steady Solutions with Finite Kinetic Energy for a Perturbed Navier-Stokes System in R-3 Journal of Differential Equations: 247(7), 2124-2139.

• Valtchev, Svilen S. ; Roberty, Nilson C. (2008) A Time-Marching MFS Scheme for Heat Conduction Problems Engineering Analysis with Boundary Elements: 32(6), 480-493.

• Martins, Nuno F. M.; Silvestre, Ana Leonor (2008) An Iterative MFS Approach for the Detection of Immersed Obstacles Engineering Analysis with Boundary Elements: 32(6), 517-524.

• Konyukhova, N.B.; Lima, Pedro M.; Morgado, M. Luísa; Soloviev, M.B. (2008) Bubbles and droplets in nonlinear physics models: analysis and numerical simulation of singular nonlinear boundary value problems Computational Mathematics and Mathematical Physics: 48(11), 2018-2058.