Search Results - finite volume methods for initial value and initial-boundary value problems

An α-Robust Semidiscrete Finite Element Method for a Fokker–Planck Initial-Boundary Value Problem with Variable-Order Fractional Time Derivative by Le, Kim-Ngan, Stynes, Martin

“…A time-fractional initial-boundary value problem of Fokker–Planck type is considered on the space-time domain Ω × [ 0 , T ] , where Ω…”
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FINITE-ELEMENT METHODS FOR SOLVING INITIAL-BOUNDARY VALUE PROBLEMS by HOUSTIS, ELIAS NICHOLAOS

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An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations by Davis, Stephen F, Flaherty, Joseph E

“…A finite element method is developed to solve initial-boundary value problems for vector systems of partial differential equations in one space dimension and time…”
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An adaptive finite-element method for initial-value problems for partial differential equations by Davis, Stephen F., Flaherty, Joseph E.

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Finite difference method for numerical solution of the initial and boundary value problem for boltzmann’s sixmoment system of equations by Akimzhanova, Sh, Yesbotayeva, G., Sakabekov, A.

“… For the Boltzmann’s six- moment system of equations an initial and boundary value problem is formulated…”
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Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order by Kazemi Nasab, A., Kiliçman, Adem, Pashazadeh Atabakan, Z., Abbasbandy, Saeid

“… The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of linear or nonlinear algebraic equations…”
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Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method by Pedram, Leila, Rostamy, Davoud

“…In this paper, we investigate the initial‐boundary‐value problem for the nonhomogeneous Korteweg…”
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The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems by Flyer, Natasha, Swarztrauber, Paul N.

“…The general theory of compatibility conditions for the differentiability of solutions to initial-boundary value problems is well known…”
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A RBF partition of unity collocation method based on finite difference for initial-boundary value problems by Garmanjani, G, Cavoretto, R, Esmaeilbeigi, M

“… partition of unity method (RBF-PUM) based on a finite difference (FD) scheme. Specifically, we propose a new RBF-PUM-FD collocation method, which can successfully be applied to solve time-dependent PDEs…”
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Stable second-order finite-difference methods for linear initial-boundary-value problems by George, K., Twizell, E.H.

“…Finite-difference methods of second order at the boundary points are presented for problems with one-dimensional second-order hyperbolic and parabolic equations with mixed boundary conditions…”
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The local discontinuous Galerkin finite element method for a multiterm time-fractional initial-boundary value problem by Wang, Zhen

“…In this paper, we study a multiterm time-fractional initial-boundary value problem, whose differential equation contains a sum of Caputo time fractional derivatives with orders in (0, 1…”
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A dynamic homogenization method for elastic wave band gap and initial-boundary value problem analysis of piezoelectric composites with elastic and viscoelastic periodic layers by Gao, Mengyuan, He, Zhelong, Liu, Jie, Lü, Chaofeng, Wang, Guannan

“… The model is developed using a multiscale homogenization method based on an asymptotic expansion of displacement and electric potential up to the 8th order…”
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Numerical propagator method solutions for the linear parabolic initial boundary-value problems by Rimshans, Janis, Guseynov, Sharif

“…On the base of our numerical propagator method a new finite volume difference scheme is proposed for solution of linear initial…”
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Non-standard finite difference method applied to an initial boundary value problem describing hepatitis B virus infection by Tadmon, Calvin, Foko, Severin

“… Furthermore, we establish that the NSFD method used preserves all constant steady states of the corresponding continuous initial boundary value problem (IBVP) model…”
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A finite-difference method for solving initial-boundary value problems for loaded differential and integro-differential equations by Bondarev, E. A., Voevodin, A. F.

“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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Finite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions by Rasulov, Mahir, Karaguler, Turhan, Sinsoysal, Bahaddin

“…In this paper, a finite-difference method for solving boundary initial value problem of nonlinear system equations of hyperbolic type in a class of discontinuous functions is suggested…”
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A flowing partially penetrating well in a finite-thickness aquifer: a mixed-type initial boundary value problem by Chang, Chien-Chieh, Chen, Chia-Shyun

“… The aquifer is confined of finite thickness. First, the mixed boundary is changed into a homogeneous Neumann boundary by discretizing the well screen into a finite number of segments, each of which at constant drawdown is subject to unknown…”
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Barrier Function Local and Global Analysis of an L1 Finite Element Method for a Multiterm Time-Fractional Initial-Boundary Value Problem by Meng, Xiangyun, Stynes, Martin

“…An initial-boundary value problem of the form ∑ i = 1 l q i D t α i u ( x , t ) - Δ u = f is considered, where each D…”
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A-Convergence of Finite Difference Approximations of Parabolic Initial- Boundary Value Problems by Gekeler, E.

“…(t) is approximated by [ 3u(t) - 4u(t - Δ t) + u(t - 2Δ t)]/2Δ t, are applied to one-dimensional parabolic initial-boundary value problems for ut= L(x, t;u…”
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New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions by Alolyan, Ibraheem, Simos, T. E.

“…In this paper, for the first time in the literature, we develop a symmetric three-stages six-step method with the following characteristics…”
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