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Pedro M Lima
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Analysis and numerical methods for fractional differential equations with delay
ML Morgado, NJ Ford, PM Lima
Journal of computational and applied mathematics 252, 159-168, 2013
1552013
Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
S Nemati, PM Lima, Y Ordokhani
Journal of Computational and Applied Mathematics 242, 53-69, 2013
1392013
Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
E Babolian, S Bazm, P Lima
Communications in Nonlinear Science and Numerical Simulation 16 (3), 1164-1175, 2011
1052011
Efficient numerical solution of the density profile equation in hydrodynamics
G Kitzhofer, O Koch, P Lima, E Weinmüller
Journal of Scientific Computing 32, 411-424, 2007
912007
Superconvergence of collocation methods for a class of weakly singular Volterra integral equations
T Diogo, P Lima
Journal of Computational and Applied Mathematics 218 (2), 307-316, 2008
752008
An extrapolation method for a Volterra integral equation with weakly singular kernel
P Lima, T Diogo
Applied Numerical Mathematics 24 (2-3), 131-148, 1997
611997
Analytical–numerical investigation of bubble-type solutions of nonlinear singular problems
PM Lima, NB Konyukhova, AI Sukov, NV Chemetov
Journal of Computational and Applied Mathematics 189 (1-2), 260-273, 2006
592006
High order product integration methods for a Volterra integral equation with logarithmic singular kernel
T Diogo, NB Franco, P Lima
Communications on Pure and Applied Analysis 3 (2), 217-236, 2004
592004
A numerical approach for solving fractional optimal control problems using modified hat functions
S Nemati, PM Lima, DFM Torres
Communications in Nonlinear Science and Numerical Simulation 78, 104849, 2019
542019
Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions
S Nemati, PM Lima
Applied Mathematics and Computation 327, 79-92, 2018
512018
Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods
P Lima, T Diogo
Journal of Computational and Applied Mathematics 140 (1-2), 537-557, 2002
482002
An effective numerical method for solving fractional pantograph differential equations using modification of hat functions
S Nemati, P Lima, S Sedaghat
Applied Numerical Mathematics 131, 174-189, 2018
422018
New approach to the numerical solution of forward-backward equations
F Teodoro, PM Lima, NJ Ford, PM Lumb
Frontiers of Mathematics in China 4, 155-168, 2009
412009
Analytical and numerical investigation of mixed-type functional differential equations
PM Lima, MF Teodoro, NJ Ford, PM Lumb
Journal of computational and applied mathematics 234 (9), 2826-2837, 2010
402010
An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets
P Rahimkhani, Y Ordokhani, PM Lima
Applied Numerical Mathematics 145, 1-27, 2019
372019
Two-dimensional integral–algebraic systems: analysis and computational methods
MV Bulatov, PM Lima
Journal of computational and applied mathematics 236 (2), 132-140, 2011
362011
Numerical solution of the neural field equation in the two-dimensional case
PM Lima, E Buckwar
SIAM Journal on Scientific Computing 37 (6), B962-B979, 2015
342015
Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
M Bulatov, P Lima, E Weinmüller
Open Mathematics 12 (2), 308-321, 2014
332014
Numerical modeling of oxygen diffusion in cells with Michaelis-Menten uptake kinetics
PM Lima, L Morgado
Journal of mathematical chemistry 48, 145-158, 2010
332010
Numerical solution of a nonlinear Abel type Volterra integral equation
T Diogo, P Lima, M Rebelo
Communications on Pure and Applied Analysis 5 (2), 277, 2006
332006
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