Results 11 to 20 of about 133,517 (285)
An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems
International Journal of Applied Mechanics and Engineering, 2020 In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
P. Padmaja, P. Aparna, R.S.R. Gorla
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Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 The present study addresses an exponentially fitted finite difference method to obtain the solution of singularly perturbed two-point boundary value problems (BVPs) having a boundary layer at one end (left or right) point on uniform mesh.
N. Kumar, R. Kumar Sinha, R. Ranjan
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Mathematics, 2023 This paper investigates the observability of discrete-time two-time-scale multi-agent systems with heterogeneous features under leader–follower architecture. First, a singular perturbation difference model for the discussed system is established based on
Mengqi Gu, Guo-Ping Jiang
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A singular perturbation problem with integral curvature bound [PDF]
, 2006 We consider a singular perturbation problem of Modica-Mortola functional as the thickness of diffused interface approaches to zero. We assume that sequence of functions have uniform energy and square-integral curvature bounds in two dimension.
Nagase, Yuko, Tonegawa, Yoshihiro
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A Schrödinger singular perturbation problem [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2007 Consider the equation $-\ve^2 u_\ve+q(x)u_\ve=f(u_\ve)$ in $\R^3$, $|u(\infty)|0$. Under what assumptions on $q(x)$ and $f(u)$ can one prove that the solution $u_\ve$ exists and $\lim_{\ve\to 0} u_\ve=u(x)$, where $u(x)$ solves the limiting problem $q(x)u=f(u)$? These are the questions discussed in the paper.
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Numerical Methods for Singular Perturbation Problems [PDF]
SIAM Journal on Numerical Analysis, 1981 Consider the two-point boundary value problem for a stiff system of ordinary differential equations. An adaptive method to solve these problems even when turning points are present is discussed. ; © 1981 Society for Industrial and Applied Mathematics. Received June 9, 1980; Published online July 17, 2006. Dedicated to Robert D.
Kreiss, Barbro, Kreiss, Heinz-Otto
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Aircraft longitudinal decoupling based on a singular perturbation approach
Advances in Mechanical Engineering, 2017 Aircraft longitudinal dynamics is approximated by short-time mode and phugoid mode from experience. In this article, a rigorous mathematical method is provided based on the singular perturbation theory to deal with this decoupling problem.
Shangqiu Shan, Zhongxi Hou, Wenkai Wang
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Journal of Marine Science and Engineering, 2023 In this paper, contraction theory is applied to design a control law to address the horizontal trajectory tracking problem of an underactuated autonomous underwater vehicle.
Caipeng Ma +4 more
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Investigation of the Boundary Layers of the Singular Perturbation Problem Including the Cauchy-Euler Differential Equation [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, for a singular perturbation problem consist of the Cauchy-Euler equation with local and non-local boundary conditions. We investigate the condition of the self-adjoint and the non-self-adjoint, also look for the formation or non ...
Alireza Sarakhsi, Siamak Ashrafi
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Ain Shams Engineering Journal, 2018 In this paper, a mixed finite difference method is proposed to solve singularly perturbed differential difference equations with mixed shifts, solutions of which exhibit boundary layer behaviour at the left end of the interval using domain decomposition.
Lakshmi Sirisha +2 more
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