Results 11 to 20 of about 162,302 (283)
Variational problems with singular perturbation [PDF]
, 2005 In this paper, we construct the local minimum of a certain variational problem which we take in the form $\mathrm{inf}\int_\Omega\left\{\frac{\epsilon}{2}kg^2|\nabla w|^2+\frac{1}{4\epsilon}f^2g^4(1-w^2)^2\right\}\,\mathrm{d}x$, where $\epsilon$ is a ...
Norbury, John, Yeh, Li-Chin
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Resonance for Singular Perturbation Problems [PDF]
, 1981 Consider the resonance for a second-order equation εy"-xpy’+ qy = 0. Another proof is given for the necessity of the Matkowsky condition and the connection with a regular eigenvalue problem is established.
Kreiss, Heinz-Otto
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Basic Concepts Underlying Singular Perturbation Techniques [PDF]
, 1972 In many singular perturbation problems multiple scales are used. For instance, one may use both the coordinate x and the coordinate x^* = ε^(-1)x. In a secular-type problem x and x^* are used simultaneously.
Casten, R. G., Lagerstrom, P. A.
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Multiple Solutions of Singular Perturbation Problems [PDF]
, 1972 Under certain conditions on g(x, u) we establish the existence and asymptotic behavior for small ε > 0 of multiple asymptotic solutions of the nonlinear boundary value problem εu" + u’ - g(x,u) = 0, 0 < x < 1, u’(0) - au(0)= A ≥ 0, a > 0, u’(1) + bu(
Cohen, Donald S.
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Numerical Methods for Singular Perturbation Problems [PDF]
, 1981 Consider the two-point boundary value problem for a stiff system of ordinary differential equations.
Kreiss, Barbro, Kreiss, Heinz-Otto
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On the Singular Perturbations for Fractional Differential Equation
The Scientific World Journal, 2014 The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the
Abdon Atangana
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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 Applied Mathematics, 2012 This paper extends the continuous-time waveform relaxation method to singular perturbation initial value problems. The sufficient conditions for convergence of continuous-time waveform relaxation methods for singular perturbation initial value problems ...
Yongxiang Zhao, Li Li
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Parametric Borel summability for some semilinear system of partial differential equations [PDF]
Opuscula Mathematica, 2015 In this paper we study the Borel summability of formal solutions with a parameter of first order semilinear system of partial differential equations with \(n\) independent variables. In [Singular perturbation of linear systems with a regular singularity,
Hiroshi Yamazawa, Masafumi Yoshino
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Absolutely stable difference scheme for a general class of singular perturbation problems
Advances in Difference Equations, 2020 This paper presents an absolutely stable noniterative difference scheme for solving a general class of singular perturbation problems having left, right, internal, or twin boundary layers. The original two-point second-order singular perturbation problem
Essam R. El-Zahar +5 more
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