Results 11 to 20 of about 5,859,544 (204)
Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation [PDF]
We present a regularized finite difference method for the logarithmic Schr\"odinger equation (LogSE) and establish its error bound. Due to the blow-up of the logarithmic nonlinearity, i.e. $\ln \rho\to -\infty$ when $\rho\rightarrow 0^+$ with $\rho=|u|^2$
W. Bao+3 more
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Finite-Difference-Impedance Method for Time-Delay Systems
The stability issues assessment by the impedance-based method demands the computation of accurate small-signal models. However, obtaining impedance models can be a time-consuming task if analytical models or the perturbation-based method are used ...
Juan Segundo-Ramirez+3 more
doaj +1 more source
Multiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied. In particular, the first boundary value problem for the equation of ion-acoustic waves in a
M.M. Aripov, D. Utebaev, Zh.A. Nurullaev
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This paper deals with the numerical solution of a two-dimensional thermoporoelasticity problem using a finite-difference scheme. Two issues are discussed: stability and convergence in discrete energy norms of the finite-difference scheme are proved, and ...
Natalia Boal+3 more
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A reaction-diffusion problem with a Caputo time derivative of order $\alpha\in (0,1)$ is considered. The solution of such a problem is shown in general to have a weak singularity near the initial time $t=0$, and sharp pointwise bounds on certain ...
M. Stynes, E. O'Riordan, J. Gracia
semanticscholar +1 more source
Real space finite difference method for conductance calculations [PDF]
We present a general method for calculating coherent electronic transport in quantum wires and tunnel junctions. It is based upon a real space high order finite difference representation of the single particle Hamiltonian and wave functions.
A. Levy Yeyati+11 more
core +4 more sources
Some standard and nonstandard finite difference schemes for a reaction–diffusion–chemotaxis model
Two standard and two nonstandard finite difference schemes are constructed to solve a basic reaction–diffusion–chemotaxis model, for which no exact solution is known.
de Waal Gysbert Nicolaas+2 more
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Uncertainty Analyses in the Finite-Difference Time-Domain Method [PDF]
Providing estimates of the uncertainty in results obtained by Computational Electromagnetic (CEM) simulations is essential when determining the acceptability of the results.
Edwards, R.S.+2 more
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A compartmental mathematical model of spreading COVID-19 disease in Wuhan, China is applied to investigate the pandemic behaviour in Iran. This model is a system of seven ordinary differential equations including individual behavioural reactions ...
Khadijeh Sadri+2 more
doaj
Existence and uniqueness of an inverse problem for a second order hyperbolic equation
In this paper, an initial boundary value problem for a second order hyperbolic equation is considered. Giving an additional condition, a time-dependent coefficient multiplying a linear term is determined and existence and uniqueness theorem for small ...
İbrahim Tekin
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