Results 281 to 290 of about 8,808,665 (333)

A numerical scheme for the Green–Naghdi model

Journal of Computational Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olivier Le Métayer, Sergey L. Gavrilyuk, Sarah Hank   +2 more
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A positivity-preserving, energy stable and convergent numerical scheme for the Cahn–Hilliard equation with a Flory–Huggins–Degennes energy

Communications in Mathematical Sciences, 2019
This article is focused on the bound estimate and convergence analysis of an unconditionally energy-stable scheme for the MMC-TDGL equation, a Cahn-Hilliard equation with a Flory-Huggins-deGennes energy.
Lixiu Dong, Cheng Wang, Hui Zhang, Zheng-Ru Zhang   +3 more
semanticscholar   +1 more source

Simulation of the phase field Cahn–Hilliard and tumor growth models via a numerical scheme: Element-free Galerkin method

Computer Methods in Applied Mechanics and Engineering, 2019
The main aim of this research work is to find the numerical solution based on a meshless technique for both the time-dependent Cahn–Hilliard and tumor growth partial differential equations. The temporal variable is discretized using a second-order method
V. Mohammadi, M. Dehghan
semanticscholar   +1 more source

Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson--Nernst--Planck System

Numerical Mathematics: Theory, Methods and Applications, 2019
. In this work, we propose and analyze a second-order accurate numerical scheme, both in time and space, for the multi-dimensional Poisson-Nernst-Planck system.
Jie Ding
semanticscholar   +1 more source

Stability analysis and a numerical scheme for fractional Klein‐Gordon equations

Mathematical methods in the applied sciences, 2018
Fractional order nonlinear Klein‐Gordon equations (KGEs) have been widely studied in the fields like; nonlinear optics, solid state physics, and quantum field theory. In this article, with help of the Sumudu decomposition method (SDM), a numerical scheme
H. Khan, Aziz Khan, Wen Chen, K. Shah
semanticscholar   +1 more source

A hybrid numerical scheme for the numerical solution of the Burgers’ equation

Computer Physics Communications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical Entropy Production for Central Schemes

SIAM Journal on Scientific Computing, 2004
Summary: A detailed study of the numerical entropy production for both low- and high-order central schemes is carried out. Our data show that entropy production can be used to signal the presence of shocks. Moreover, once shocked cells have been identified, the spurious entropy production occurring in the remaining cells mimics the behavior of the ...
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A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model

Applied Numerical Mathematics, 2018
In this paper, we propose a second-order time accurate convex splitting scheme for the phase field crystal model. The temporal discretization is based on the second-order backward differentiation formula (BDF) and a convex splitting of the energy ...
Qi Li, Liquan Mei, Bo You
semanticscholar   +1 more source

Suppressing the numerical Cherenkov radiation in the Yee numerical scheme

Journal of Computational Physics, 2016
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Rachel Nuter, Vladimir Tikhonchuk
openaire   +3 more sources

On the Conditional Consistency of an Explicit Numerical Scheme

Journal of Computational Physics, 1995
The authors analyse an explicit scheme for the solution of partial differential equations, presented by \textit{J. L. Richardson, R. C. Ferrell} and \textit{L. N. Long} [J. Comput. Phys. 104, No. 1, 69-74 (1993; Zbl 0766.76061)] for solving nonlinear fluid dynamics problems. The present study, with application to the one-dimensional diffusion equation,
DE NICOLA, CARLO, G. Pinto, TOGNACCINI, RENATO   +2 more
openaire   +2 more sources