An explicit fourth-order compact numerical scheme for heat transfer of boundary layer flow
The main contribution of this article is to propose a compact explicit scheme for solving time-
dependent partial differential equations (PDEs). The proposed explicit scheme has an …
dependent partial differential equations (PDEs). The proposed explicit scheme has an …
[HTML][HTML] Discontinuous Galerkin methods for Fisher–Kolmogorov equation with application to α-synuclein spreading in Parkinson's disease
This spreading of prion proteins is at the basis of brain neurodegeneration. This paper deals
with the numerical modelling of the misfolding process of α-synuclein in Parkinson's …
with the numerical modelling of the misfolding process of α-synuclein in Parkinson's …
Structure preserving polytopal discontinuous Galerkin methods for the numerical modeling of neurodegenerative diseases
Many neurodegenerative diseases are connected to the spreading of misfolded prionic
proteins. In this paper, we analyse the process of misfolding and spreading of both $\alpha …
proteins. In this paper, we analyse the process of misfolding and spreading of both $\alpha …
Structure preserving polytopal discontinuous Galerkin methods for the numerical modeling of neurodegenerative diseases
Many neurodegenerative diseases are connected to the spreading of misfolded prionic
proteins. In this paper, we analyse the process of misfolding and spreading of both α …
proteins. In this paper, we analyse the process of misfolding and spreading of both α …
Analysis and nonstandard numerical design of a discrete three-dimensional hepatitis B epidemic model
In this work, we numerically investigate a three-dimensional nonlinear reaction-diffusion
susceptible-infected-recovered hepatitis B epidemic model. To that end, the stability and …
susceptible-infected-recovered hepatitis B epidemic model. To that end, the stability and …
A nonstandard finite difference scheme for convection–diffusion equations having constant coefficients
M Ehrhardt, RE Mickens - Applied Mathematics and Computation, 2013 - Elsevier
In this note we derive, using the subequation method, a new nonstandard finite difference
scheme (NSFD) for a class of convection–diffusion equations having constant coefficients …
scheme (NSFD) for a class of convection–diffusion equations having constant coefficients …
An optimized second order numerical scheme applied to the non-linear Fisher's reaction-diffusion equation
Four one-parameter θ-family of simple and seemingly implicit finite difference schemes are
proposed to obtain an accurate approximate solution for the non-linear Fisher model …
proposed to obtain an accurate approximate solution for the non-linear Fisher model …
Persistence of dynamic consistency of nonstandard numerical schemes for the Fisher-KPP equation
Finite difference schemes for the Fisher-KPP equation are considered that are constructed
using non-local discretization of non-linear terms and standard/nonstandard denominators …
using non-local discretization of non-linear terms and standard/nonstandard denominators …
[HTML][HTML] A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model
The spatial–temporal spreading of a new invasive species in a habitat has interest in
ecology and is modeled by a moving boundary diffusion logistic partial differential problem …
ecology and is modeled by a moving boundary diffusion logistic partial differential problem …
Numerical analysis of the susceptible exposed infected quarantined and vaccinated (SEIQV) reaction-diffusion epidemic model
In this paper, two structure-preserving nonstandard finite difference (NSFD) operator splitting
schemes are designed for the solution of reaction diffusion epidemic models. The proposed …
schemes are designed for the solution of reaction diffusion epidemic models. The proposed …