Results 261 to 270 of about 5,795,372 (310)

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

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 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

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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Suppressing the numerical Cherenkov radiation in the Yee numerical scheme

Journal of Computational Physics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rachel Nuter, Vladimir Tikhonchuk
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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
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Numerical Integration Schemes

2011
In the previous two parts of this book we have covered a lot of physics. In the process we have managed to largely avoid getting into complex numerical issues. In this fourth and last part of the book we will discuss, over the next two chapters, some technical and numerical issues that youll need to consider if you are building more complex simulations,
Dev Ramtal, Adrian Dobre
openaire   +1 more source

A novel high-order numerical scheme and its analysis for the two-dimensional time-fractional reaction-subdiffusion equation

Numerical Algorithms, 2022
P. Roul, Vikas Rohil
semanticscholar   +1 more source

New Numerical Scheme with Newton Polynomial

, 2021

semanticscholar   +1 more source

A numerical scheme for the solution of Sivashinsky equation

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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