Results 51 to 60 of about 100 (92)

Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential

open access: yesDemonstratio Mathematica
In 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

Accurate WKB Approximation for a 1D Problem with Low Regularity [PDF]

open access: yes, 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  

GLOBAL STABILITY AND PERIODIC SOLUTION OF A VIRAL DYNAMIC MODEL

open access: yes, 2019
: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 ...
COŞKUN, Erhan
core   +2 more sources

Iterative Method for Solving a Fourth Order Differential Equation with Nonlinear Boundary Condition

open access: yes, 2010
In this paper we consider a fourth order differential equation with nonlinear boundary condition. The existence and uniqueness of a solution is proved. An iterative method for its solution is proposed and the convergence of the method is established.
A   +4 more
core  

© Hindawi Publishing Corp. NONLINEAR UNSTEADY FLOW PROBLEMS BY MULTIDIMENSIONAL SINGULAR INTEGRAL REPRESENTATION ANALYSIS

open access: yes, 2001
A two-dimensional nonlinear aerodynamics representation analysis is proposed for the investigation of inviscid flowfields of unsteady airfoils. Such problems are reduced to the solution of a nonlinear multidimensional singular integral equation as the ...
E. G. Ladopoulos
core  

A Non-Asymptotic Method For Singularly Perturbed Delay Differential Equations

open access: yes, 2014
In this paper, a non-asymptotic method is presented for solving singularly perturbed delay differential equations whose solution exhibits a boundary layer behavior.
Gemechis File, Y. N. Reddy
core  

© Hindawi Publishing Corp. FINITE-PART SINGULAR INTEGRAL APPROXIMATIONS IN HILBERT SPACES

open access: yes, 2003
Some new approximation methods are proposed for the numerical evaluation of the finitepart singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on ...
V. A. Zisis   +2 more
core  

On The Stability Of The Abramov Transfer For Differential-Algebraic Equations Of Index 1

open access: yes, 1996
. The transfer of boundary conditions for ordinary differential equations developed by Abramov [1] is a stable method for representing the solution spaces of linear boundary value problems.
Thomas Petry
core  

A robust fitted numerical method for singularly perturbed turning point problems whose solution exhibits an interior layer

open access: yes, 2020
In this paper we considerer singularly perturbed convection-diffusion-reaction problems with a turning point whose solution exhibits an interior layer. We establish bounds on the solution to these problems and their derivatives.
Patidar, Kailash C.   +2 more
core  

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