On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
, 2016 In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon.
Dutykh, Denys, Khakimzyanov, Gayaz
core +3 more sources
Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential
Demonstratio MathematicaIn this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
doaj +1 more source
Corrected confidence intervals for secondary parameters following sequential tests
, 2006 Corrected confidence intervals are developed for the mean of the second component of a bivariate normal process when the first component is being monitored sequentially.
Coad, D. S., Weng, R. C.
core +1 more source
Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]
, 2015 The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
core +2 more sources
Accurate WKB Approximation for a 1D Problem with Low Regularity [PDF]
, 2008 2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20.This article is concerned with the analysis of the WKB expansion in a classically forbidden region for a one dimensional boundary value Schrodinger equation with a non smooth potential ...
Nier, F.
core
ON A NUMERICAL SOLUTION OF THE LAPLACE EQUATION [PDF]
, 2015 The Laplace Equation in three variable can be reduced to three ODEs by means of the Fourier method. For the cases when the exact solution does not exist, or it is complicated,we apply the wavelet-Galerkin method to the ODEs.
HADZI-VELKOVA SANEVA, KATERINA +2 more
core
A fast and well-conditioned spectral method [PDF]
, 2012 A novel spectral method is developed for the direct solution of linear ordinary differential equations with variable coefficients. The method leads to matrices which are almost banded, and a numerical solver is presented that takes $O(m^{2}n)$ operations,
Olver, Sheehan, Townsend, Alex
core +1 more source
DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : This paper applies the differential transform method to search for semi numerical-analytical solutions of a class of singular two-point boundary value problems.
Vedat ERTÜRK
doaj
The use of integral information in the solution of a two-point boundary value problem [PDF]
, 2007 We study the worst-case \(\varepsilon\)-complexity of a two-point boundary value problem \(u^{\prime\prime}(x)=f(x)u(x)\), \(x \in [0,T]\), \(u(0)=c\), \(u^{\prime}(T)=0\), where \(c,T \in \mathbb{R}\) (\(c \neq 0\), \(T \gt 0\)) and \(f\) is a ...
Tomasz Drwięga
core
GLOBAL STABILITY AND PERIODIC SOLUTION OF A VIRAL DYNAMIC MODEL
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 :In this paper, we consider the classical viral dynamic mathematical model. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number, the HIV infection is cleared from the T-cell population; if , the HIV ...
Erhan COŞKUN
doaj