In this article, a set of fourth-order compact finite difference schemes is developed to solve a heat conduction problem with Neumann boundary conditions.
Dai, Weizhong +5 more
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An efficient nonstandard computer method to solve a compartmental epidemiological model for COVID-19 with vaccination and population migration. [PDF]
Herrera-Serrano JE +3 more
europepmc +1 more source
A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction
We propose a stable numerical scheme for a Cahn-Hilliard type equation with long-range interaction describing the micro-phase separation of diblock copolymer melts.
中村, 健一 +2 more
core
This article studies the dynamical behaviour of classical solutions of a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, with time-dependent boundary conditions. It is shown that under suitable assumptions
Padi Fuster Aguilera, Kun Zhao
doaj +1 more source
Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs. [PDF]
Petras A, Ling L, Ruuth SJ.
europepmc +1 more source
A Note on Splitting Errors for Advection-Reaction Equations [PDF]
In this note we consider proper ways to combine numerical schemes for advective transport and nonlinear chemistry. Obvious combinations are obtained with splitting in a so-called fractional step approach.
W. Hundsdorfer +5 more
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A Combination of Residual Distribution and the Active Flux Formulations or a New Class of Schemes That Can Combine Several Writings of the Same Hyperbolic Problem: Application to the 1D Euler Equations. [PDF]
Abgrall R.
europepmc +1 more source
Simulation of fluid-particles flows: Heavy particles, flowing regime and AP-schemes
. We are interested in an Eulerian–Lagrangian model describing particulate flows. The model under study consists of the Euler system and a Vlasov-Fokker-Planck equation coupled through momentum and energy exchanges.
Bokai Yan, Shi Jin, Thierry Goudon
core
Analysis of a nonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases. [PDF]
Macías-Díaz JE +3 more
europepmc +1 more source
Fully implicit ADI schemes for solving the nonlinear Poisson-Boltzmann equation
Geng Weihua, Zhao Shan
doaj +1 more source

