3 citations · 4 across the 6 of their papers we have counts for
8 papers
Numerical Solution for a Class of Evolution Differential Equations with -Laplacian and Memory
Rui M. P. Almeida, José C. M. Duque, Belchior C. X. Mário
In this paper we make a study of a partial integral differential equation with -Laplacian using a mixed finite element method. Two stable and convergent fixed point schemes are…
A Mixed Finite Element Method for a Class of Evolution Differential Equations with -Laplacian and Memory
Rui M. P. Almeida, José C. M. Duque, Belchior C. X. Mário
We present a new mixed finite element method for a class of parabolic equations with -Laplacian and nonlinear memory. The applicability, stability and convergence of the method…
Mixed finite element method for a beam equation with the p-biharmonic operator
Rui M. P. Almeida, José C. M. Duque, Jorge Ferreira +1
In this paper, we consider a nonlinear beam equation with the p-biharmonic operator, where . Using a change of variable, we transform the problem into a system of d…
Viscosity solution of a Delta Greek nonlinear Black-Scholes equation
Rui M. P. Almeida, Teófilo D. Chihaluca, José C. M. Duque
In this paper, a class of nonlinear option pricing models involving transaction costs is considered. The diffusion coefficient of the nonlinear parabolic equation for the price …
Finite element schemes for a class of nonlocal parabolic systems with moving boundaries
Rui M. P. Almeida, José C. M. Duque, Jorge Ferreira +1
The aim of this paper is to establish convergence, properties and error bounds for the fully discrete solutions of a class of nonlinear systems of reaction-diffusion nonlocal type…
On the finite element method for a nonlocal degenerate parabolic problem
Rui M. P. Almeida, Stanislav N. Antontsev, José C. M. Duque
The aim of this paper is the numerical study of a class of nonlinear nonlocal degenerate parabolic equations. The convergence and error bounds of the solutions are proved for a lin…
On a nonlocal degenerate parabolic problem
Rui M. P. Almeida, Stanislav N. Antontsev, José C. M. Duque
Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solu…
Convergence of the Crank-Nicolson-Galerkin finite element method for a class of nonlocal parabolic systems with moving boundaries
Rui M. P. Almeida, José C. M. Duque, Jorge Ferreira +1
The aim of this paper is to establish the convergence and error bounds to the fully discrete solution for a class of nonlinear systems of reaction-diffusion nonlocal type with movi…