Results 11 to 20 of about 1,669 (93)
Numerical resolution of an exact heat conduction model with a delay term [PDF]
, 2019 In this paper we analyze, from the numerical point of view, a dynamic thermoelastic problem. Here, the so-called exact heat conduction model with a delay term is used to obtain the heat evolution.
Campo, Marco +2 more
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Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation
Alexandria Engineering Journal, 2020 In this paper, a new scheme based on the exponential fitting technique is presented for solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second-order derivatives are replaced by Caputo fractional derivative.
W.K. Zahra, M.A. Nasr, Dumitru Baleanu
doaj +1 more source
DIRK Schemes with High Weak Stage Order
, 2020 Runge-Kutta time-stepping methods in general suffer from order reduction: the observed order of convergence may be less than the formal order when applied to certain stiff problems.
A Ditkowski +9 more
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On a decoupled linear FEM integrator for Eddy-current-LLG [PDF]
, 2013 We propose a numerical integrator for the coupled system of the eddy-current equation with the nonlinear Landau-Lifshitz-Gilbert equation. The considered effective field contains a general field contribution, and we particularly cover exchange ...
Le, Kim-Ngan +3 more
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Resonance-based schemes for dispersive equations via decorated trees
Forum of Mathematics, Pi, 2022 We introduce a numerical framework for dispersive equations embedding their underlying resonance structure into the discretisation. This will allow us to resolve the nonlinear oscillations of the partial differential equation (PDE) and to approximate ...
Yvain Bruned, Katharina Schratz
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Open Mathematics, 2020 In this paper, a discrete orthogonal spline collocation method combining with a second-order Crank-Nicolson weighted and shifted Grünwald integral (WSGI) operator is proposed for solving time-fractional wave equations based on its equivalent partial ...
Xu Xiaoyong, Zhou Fengying
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A Priori Error Estimates for Mixed Finite Element $\theta$-Schemes for the Wave Equation [PDF]
, 2015 A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation. The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method ...
Karaa, Samir
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Approximate solution for solving nonlinear fractional order smoking model
Alexandria Engineering Journal, 2020 In this paper, Generalized Mittag-Leffler function method (GMLFM) and Sumudu transform method (STM) are applied to study and solve the fractional order smoking model, where the derivatives are defined in the Caputo fractional sense.
A.M.S. Mahdy, N.H. Sweilam, M. Higazy
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 63, Page 3979-3993, 2003., 2003 We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial‐boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm ...
A. A. Halim +2 more
wiley +1 more source
Open Mathematics, 2018 In this paper we develop and analyze the local discontinuous Galerkin (LDG) finite element method for solving the general Lax equation. The local discontinuous Galerkin method has the flexibility for arbitrary h and p adaptivity, and allows for hanging ...
Wei Leilei, Mu Yundong
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