63 citations · 117 across the 10 of their papers we have counts for
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An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions
Younes Talaei, Pedro M Lima
This paper is concerned with the numerical solution of the third kind Volterra integral equations with non-smooth solutions based on the recursive approach of the spectral Tau meth…
Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials
Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
We introduce a new numerical method, based on Bernoulli polynomials, for solving multiterm variable-order fractional differential equations. The variable-order fractional derivativ…
Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets
Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
We propose a spectral collocation method, based on the generalized Jacobi wavelets along with the Gauss-Jacobi quadrature formula, for solving a class of third-kind Volterra integr…
Legendre wavelet collocation method combined with the Gauss--Jacobi quadrature for solving fractional delay-type integro-differential equations
S. Nemati, P. M. Lima, S. Sedaghat
In this work, we present a collocation method based on the Legendre wavelet combined with the Gauss--Jacobi quadrature formula for solving a class of fractional delay-type integro-…
Numerical Solution of Stochastic Neural Fields with Delays
Pedro M. Lima, Evelyn Buckwar
We introduce a new numerical algorithm for solving the stochastic neural field equation (NFE) with delays. Using this algorithm we have obtained some numerical results which illust…
Numerical Simulations in Two-Dimensional Neural Fields
Pedro M. Lima, Evelyn Buckwar
In the present paper we are concerned with a numerical algorithm for the approximation of the two-dimensional neural field equation with delay. We consider three numerical examples…
Numerical Solution of the Neural Field Equation in the Two-dimensional Case
Pedro M. Lima, Evelyn Buckwar
We are concerned with the numerical solution of a class integro-differential equations, known as Neural Field Equations, which describe the large-scale dynamics of spatially struct…
Root Finding by High Order Iterative Methods Based on Quadratures
Mario M. Graça, Pedro M. Lima
We discuss a recursive family of iterative methods for the numerical approximation of roots of nonlinear functions in one variable. These methods are based on Newton-Cotes closed q…