Results 161 to 170 of about 1,147,753 (236)
Some of the next articles are maybe not open access.
A finite difference scheme for the nonlinear time‐fractional partial integro‐differential equation
Mathematical methods in the applied sciences, 2020In this paper, a finite difference scheme is proposed for solving the nonlinear time‐fractional integro‐differential equation. This model involves two nonlocal terms in time, ie, a Caputo time‐fractional derivative and an integral term with memory.
Jing Guo, Da Xu, W. Qiu
semanticscholar +1 more source
SIAM Journal of Control and Optimization, 2020
In this paper, we propose a novel space semidiscretized finite difference scheme for approximation of the one-dimensional wave equation under boundary feedback.
Jiankang Liu, B. Guo
semanticscholar +1 more source
In this paper, we propose a novel space semidiscretized finite difference scheme for approximation of the one-dimensional wave equation under boundary feedback.
Jiankang Liu, B. Guo
semanticscholar +1 more source
Numerical Methods for Partial Differential Equations, 2019
In this paper, a compact finite difference scheme is constructed and investigated for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel.
Da Xu, W. Qiu, Jing Guo
semanticscholar +1 more source
In this paper, a compact finite difference scheme is constructed and investigated for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel.
Da Xu, W. Qiu, Jing Guo
semanticscholar +1 more source
An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws
Journal of Computational Physics, 2018An alternative formulation of conservative weighted essentially non-oscillatory (WENO) finite difference scheme with the classical WENO-JS weights (Jiang et al. (2013) [6] ) has been successfully used for solving hyperbolic conservation laws. However, it
Bao-Shan Wang, Peng Li, Zhen Gao, W. Don
semanticscholar +1 more source
Conservative finite difference scheme for the nonlinear fourth-order wave equation
Applied Mathematics and Computation, 2019A conservative finite difference scheme is presented for solving the two-dimensional fourth-order nonlinear wave equation. The existence of the numerical solution of the finite difference scheme is proved by Brouwer fixed point theorem.
T. Achouri
semanticscholar +1 more source
Nonstandard finite difference scheme for a Tacoma Narrows Bridge model
Applied Mathematical Modelling, 2018This paper constructs two dynamically consistent nonstandard finite difference (NSFD) schemes for the model of Tacoma Narrows Bridge using the Mickens methodology.
O. Adekanye, Talitha M. Washington
semanticscholar +1 more source
A New Finite-Difference Diffusion Scheme
Journal of Computational Physics, 1996The authors purpose a new second-order accurate, explicit finite difference diffusion scheme, that they call ``three-level, locally implicit'' scheme. The scheme is derived as a weighted average of the conventional forward-in-time, explicit diffusion scheme over one grid length and the same scheme over two grid lengths.
Hobson, J. M., Wood, N., Mason, P. J.
openaire +1 more source
1984
To arrive at finite difference equations modeling magnetohydrodynamic equilibrium we use a technique that is motivated by the finite element method [3]. First we develop a second order accurate numerical quadrature formula for the Hamiltonian E based on a rectangular grid of mesh points over a unit cube of the space with coordinates s, u and v.
Frances Bauer +2 more
openaire +1 more source
To arrive at finite difference equations modeling magnetohydrodynamic equilibrium we use a technique that is motivated by the finite element method [3]. First we develop a second order accurate numerical quadrature formula for the Hamiltonian E based on a rectangular grid of mesh points over a unit cube of the space with coordinates s, u and v.
Frances Bauer +2 more
openaire +1 more source
Applied Mathematics and Computation, 2018
In this paper, a reduced implicit sixth-order compact finite difference (CFD6) scheme which combines proper orthogonal decomposition (POD) technique and high-order compact finite difference scheme is presented for numerical solution of the Korteweg-de ...
Xiaohua Zhang, Ping Zhang
semanticscholar +1 more source
In this paper, a reduced implicit sixth-order compact finite difference (CFD6) scheme which combines proper orthogonal decomposition (POD) technique and high-order compact finite difference scheme is presented for numerical solution of the Korteweg-de ...
Xiaohua Zhang, Ping Zhang
semanticscholar +1 more source
2020
Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
openaire +1 more source
Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
openaire +1 more source