Results 1 to 10 of about 144 (134)
Annales Mathematicae Silesianae, 2023 In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika +2 more
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Open Mathematics, 2022 In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
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Alexandria Engineering Journal, 2023 In this research, we adopt a fully implicit approach with a weighted shifted Grunwald–Letnikov difference operator to find the numerical solution of the one and two-dimensional nonlinear space fractional convection–diffusion-reaction equation over a ...
Eyaya Fekadie Anley +3 more
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Results in Applied Mathematics, 2020 We consider a compact approximation of the kinetic velocity distribution function by a sum of isotropic Gaussian densities in the problem of spatially homogeneous relaxation.
Alexander Alekseenko +2 more
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Variational analysis for simulating free‐surface flows in a porous medium
Journal of Applied Mathematics, Volume 2003, Issue 8, Page 377-396, 2003., 2003 A variational formulation has been developed to solve a parabolic partial differential equation describing free‐surface flows in a porous medium. The variational finite element method is used to obtain a discrete form of equations for a two‐dimensional domain.
Shabbir Ahmed, Charles Collins
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A frictionless contact problem for viscoelastic materials
Journal of Applied Mathematics, Volume 2, Issue 1, Page 1-21, 2002., 2002 We consider a mathematical model which describes the contact between a deformable body and an obstacle, the so‐called foundation. The body is assumed to have a viscoelastic behavior that we model with the Kelvin‐Voigt constitutive law. The contact is frictionless and is modeled with the well‐known Signorini condition in a form with a zero gap function.
Mikäel Barboteu +2 more
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Hot‐pressing process modeling for medium density fiberboard (MDF)
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 12, Page 713-729, 2001., 2001 We present a numerical solution for the mathematical modeling of the hot‐pressing process applied to medium density fiberboard. The model is based on the work of Humphrey (1982), Humphrey and Bolton (1989), and Carvalho and Costa (1998) with some modifications and extensions in order to take into account mainly the convective effects on the phase ...
Norberto Nigro, Mario Storti
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On the existence of solutions of strongly damped nonlinear wave equations
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 369-382, 2000., 2000 We investigate the existence and uniqueness of solutions of the following equation of hyperbolic type with a strong dissipation: utt(t,x)−(α+β(∫Ω|∇u(t,y)|2dy)γ)Δu(t,x) −λΔut(t,x)+μ|u(t,x)|q−1u(t,x)=00, x∈Ω,t≥ u(0,x)=u0(x), ut(0,x)=u1(x), x∈Ω, u|∂Ω=0 , where q > 1, λ > 0, μ ∈ ℝ, α, β ≥ 0, α + β > 0, and Δ is the Laplacian in ℝN.
Jong Yeoul Park, Jeong Ja Bae
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A note on the rate of convergence for Chebyshev-Lobatto and Radau systems
Open Mathematics, 2016 This paper is devoted to Hermite interpolation with Chebyshev-Lobatto and Chebyshev-Radau nodal points. The aim of this piece of work is to establish the rate of convergence for some types of smooth functions.
Berriochoa Elías +3 more
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Finite difference approximations for a class of non‐local parabolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 147-163, 1997., 1997 In this paper we study finite difference procedures for a class of parabolic equations with non‐local boundary condition. The semi‐implicit and fully implicit backward Euler schemes are studied. It is proved that both schemes preserve the maximum principle and monotonicity of the solution of the original equation, and fully‐implicit scheme also ...
Yanping Lin, Shuzhan Xu, Hong-Ming Yin
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