A numerical scheme for the early steps of nucleation-aggregation models
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-016-1026-0
Abstract: In the formation of large clusters out of small particles, the initializing step is called the nucleation, and consists in the spontaneous reaction of agents which aggregate into small and stable polymers called nuclei. After… read more here.
Keywords: scheme early; nucleation; numerical scheme; nucleation aggregation ... See more keywords
A well-balanced numerical scheme for a model of two-phase flows with treatment of nonconservative terms
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-019-09704-x
Abstract: We construct a numerical scheme for a model of two-phase flows. The keystone is the treatment of nonconservative terms using stationary contact discontinuities. The nonconservative terms are absorbed into left-hand and right-hand states of the… read more here.
Keywords: scheme model; phase; nonconservative terms; numerical scheme ... See more keywords
A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.06.013
Abstract: Abstract We propose a high-order numerical scheme for nonlinear time fractional reaction-diffusion equations with initial singularity, where L2- 1 σ scheme on graded mesh is used to approximate Caputo fractional derivative and Legendre spectral method… read more here.
Keywords: order numerical; scheme; nonlinear time; numerical scheme ... See more keywords
On a general numerical scheme for the fractional plastic flow rule
Sign Up to like & getrecommendations! Published in 2018 at "Mechanics of Materials"
DOI: 10.1016/j.mechmat.2017.02.005
Abstract: Abstract This paper presents a general numerical scheme for the fractional plastic flow rule, dedicated to a wide class of materials manifesting the non-normality of plastic flow and induced plastic anisotropy. To determine the vector… read more here.
Keywords: plastic; scheme fractional; numerical scheme; plastic flow ... See more keywords
An efficient numerical scheme for the study of equal width equation
Sign Up to like & getrecommendations! Published in 2018 at "Results in physics"
DOI: 10.1016/j.rinp.2018.04.060
Abstract: Abstract In this work a new numerical scheme is proposed in which Haar wavelet method is coupled with finite difference scheme for the solution of a nonlinear partial differential equation. The scheme transforms the partial… read more here.
Keywords: width equation; scheme; numerical scheme; equation ... See more keywords
On the convergence of carathéodory numerical scheme for Mckean-Vlasov equations
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1845206
Abstract: Abstract We study the strong convergence of the Carathéodory numerical scheme for a class of nonlinear McKean-Vlasov stochastic differential equations (MVSDE). We prove, under Lipschitz assumptions, the convergence of the approximate solutions to the unique… read more here.
Keywords: carath odory; numerical scheme; odory numerical; mckean vlasov ... See more keywords
A numerical scheme to solve boundary value problems involving singular perturbation
Sign Up to like & getrecommendations! Published in 2018 at "European Journal of Computational Mechanics"
DOI: 10.1080/17797179.2018.1479552
Abstract: ABSTRACT In this study, a numerical method is presented in order to approximately solve singularly perturbed second-order differential equations given with boundary conditions. The method uses the set of monomials whose degrees do not exceed… read more here.
Keywords: approximate solution; numerical scheme; solution; scheme solve ... See more keywords
Improved numerical scheme for the generalized Kuramoto model
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/accce4
Abstract: We present an improved and more accurate numerical scheme for a generalization of the Kuramoto model of coupled phase oscillators to the three-dimensional space. The present numerical scheme relies crucially on our observation that the… read more here.
Keywords: kuramoto; kuramoto model; numerical scheme; scheme ... See more keywords
A Unified Numerical Scheme for Coupled Multiphysics Model
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2020.3041870
Abstract: For oil and gas exploration, seismic wave propagation in coupled acoustic, elastic, poroelastic, and even anisotropic media is a valuable aspect. However, it is a challenging task to deal with the interfaces of the coupled… read more here.
Keywords: coupled acoustic; coupled model; scheme; model ... See more keywords
The PDEs and Numerical Scheme for Derivatives under Uncertainty Volatility
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Problems in Engineering"
DOI: 10.1155/2019/1268301
Abstract: We use the stochastic differential equations (SDE) driven by G-Brownian motion to describe the basic assets (such as stocks) price processes with volatility uncertainty. We give the estimation method of the SDE’s parameters. Then, by… read more here.
Keywords: uncertainty; volatility; pdes numerical; numerical scheme ... See more keywords
A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1273-2
Abstract: A multiple integral finite volume method combined and Lagrange interpolation are applied in this paper to the Rosenau-RLW (RRLW) equation. We construct a two-level implicit fully discrete scheme for the RRLW equation. The numerical scheme… read more here.
Keywords: integral finite; finite volume; scheme; numerical scheme ... See more keywords