Results 11 to 20 of about 803 (177)

Topological-Sector Fluctuations and Curie-Law Crossover in Spin Ice [PDF]

Physical Review X, 2013
At low temperatures, a spin ice enters a Coulomb phase—a state with algebraic correlations and topologically constrained spin configurations. We show how analytical and numerical approaches for model spin-ice systems reveal a crossover between two Curie ...
Harris, M., Harris, M. J., Holdsworth, P., M. J. Harris, Fennell, T., L. D. C. Jaubert, Jaubert, L., Jaubert, L. D. C., Harris, M J, S. T. Bramwell, Bramwell, S T, Melko, R. G., Bramwell, S., R. G. Melko, Jaubert, L D C, Bramwell, S. T., T. Fennell, Fennell, T, Melko, R G, Holdsworth, P C W, Melko, R., Holdsworth, P. C. W., P. C. W. Holdsworth   +22 more
core   +2 more sources

On nonstandard finite difference schemes in biosciences [PDF]

AIP Conference Proceedings, 2012
We design, analyze and implement nonstandard finite difference (NSFD) schemes for some differential models in biosciences. The NSFD schemes are reliable in three directions. They are topologically dynamically consistent for onedimensional models. They can replicate the global asymptotic stability of the disease-free equilibrium of the MSEIR model in ...
Anguelov, Roumen, Dumont, Yves, Lubuma, Jean   +2 more
openaire   +5 more sources

A Positivity-Preserving Improved Nonstandard Finite Difference Method to Solve the Black-Scholes Equation

Mathematics, 2022
In this paper, we evaluate and discuss different numerical methods to solve the Black–Scholes equation, including the θ-method, the mixed method, the Richardson method, the Du Fort and Frankel method, and the MADE (modified alternating directional ...
Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Higinio Ramos, Zahra Mohammadnia, Pari Khakzad   +4 more
doaj   +1 more source

A Nonstandard Finite Difference Method for a Generalized Black–Scholes Equation [PDF]

Symmetry, 2022
An implicit finite difference scheme for the numerical solution of a generalized Black–Scholes equation is presented. The method is based on the nonstandard finite difference technique. The positivity property is discussed and it is shown that the proposed method is consistent, stable and also the order of the scheme respect to the space variable is ...
Mohammad Mehdizadeh Khalsaraei, Mohammad Mehdi Rashidi, Ali Shokri, Higinio Ramos, Pari Khakzad   +4 more
openaire   +2 more sources

Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation

Advances in Difference Equations, 2007
The numerical solution of partial differential equations with finite differences mimetic methods that satisfy properties of the continuum differential operators and mimic discrete versions of appropriate integral identities is more likely to produce ...
Rojas S, Castillo JE, Freites-Villegas M, Guevara-Jordan JM   +3 more
doaj   +2 more sources

Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs [PDF]

Journal of Applied Mathematics, 2012
We use the idea of nonstandard finite difference methods to derive the discrete variational integrators for multisymplectic PDEs. We obtain a nonstandard finite difference variational integrator for linear wave equation with a triangle discretization and two nonstandard finite difference variational integrators for the nonlinear Klein‐Gordon equation ...
Liao, Cuicui, Ding, Xiaohua
openaire   +3 more sources

An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination

International Journal of Applied Mathematics and Computer Science, 2014
In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination.
Ding Deqiong, Ma Qiang, Ding Xiaohua
doaj   +1 more source

Efficient Positivity-Preserving NSFD Scheme: Application to Advection-Diffusion-Reaction Equation [PDF]

Journal of Applied and Computational Mechanics
Solving problems across a wide range of scientific and engineering domains, encompassing physical, mechanical and biological systems as well as financial markets, necessitates addressing parabolic equations of the advection-diffusion-reaction (ADR ...
Reza Shokri Jahandizi, Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Ali Khani   +3 more
doaj   +1 more source

Nonstandard finite difference schemes for a general predator–prey system [PDF]

Journal of Computational Science, 2019
In this paper we transform a continuous-time predator-prey system with general functional response and recruitment for both species into a discrete-time model by nonstandard finite difference scheme (NSFD). The NSFD model shows complete dynamic consistency with its continuous counterpart for any step size.
Quang A. Dang, Manh Tuan Hoang
openaire   +2 more sources

Bi-Conjugate Gradient Stabilized and Multigrid Approaches Based on Nonstandard Finite Differences for the Solution of Elliptic Partial Differential Equations [PDF]

Alfarama Journal of Basic & Applied Sciences
This study introduces a robust and highly accurate numerical scheme for the solution of two-dimensional elliptic partial differential equations subject to Dirichlet boundary conditions.
N. H. Sweilam, Ibrahim Hanafy, Moutaz Ramadan, Azza Eseily   +3 more
doaj   +1 more source