Results 1 to 10 of about 104,752 (294)
Note on Logarithmic Switchback Terms in Regular and Singular Perturbation Expansions [PDF]
, 1984 The occurrence of logarithmic switchback is studied for ordinary differential equations containing a parameter k which is allowed to take any value in a continuum of real numbers and with boundary conditions imposed at x = ε and x = ∞.
Lagerstrom, P. A., Reinelt, D. A.
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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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A class of singularly perturbed Robin boundary value problems in critical case
Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper discusses a class of nonlinear singular perturbation problems with Robin boundary values in critical cases. By using the boundary layer function method and successive approximation theory, the corresponding asymptotic expansions of small ...
Hao Zhang, Na Wang
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Nonlinear Engineering, 2018 In this paper, we propose an efficient method to solve linear and nonlinear singular initial value problems of Lane-Emden type equations by combining Laplace transformation and homotopy perturbation methods.
Aminikhah Hossein
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Journal of Function Spaces, 2020 In this paper, we focus on the existence of positive solutions for a class of weakly singular Hadamard-type fractional mixed periodic boundary value problems with a changing-sign singular perturbation.
Xinguang Zhang +4 more
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PERTURBING SINGULAR SOLUTIONS OF THE GELFAND PROBLEM [PDF]
Communications in Contemporary Mathematics, 2007 The equation -Δu = λeuposed in the unit ball B ⊆ ℝN, with homogeneous Dirichlet condition u|∂B= 0, has the singular solution [Formula: see text] when λ = 2(N - 2). If N ≥ 4 we show that under small deformations of the ball there is a singular solution (u,λ) close to (U,2(N - 2)).
Davila, J., Dupaigne, L.
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International Journal of Differential Equations, 2016 A reliable algorithm is presented to develop piecewise approximate analytical solutions of third- and fourth-order convection diffusion singular perturbation problems with a discontinuous source term.
Essam R. El-Zahar
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A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems
International Journal of Differential Equations, 2011 This paper contains a surprisingly large amount of material and indeed can serve as an introduction to some of ideas and methods of singular perturbation theory.
Manoj Kumar, Parul
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Perspective on gravitational self-force analyses [PDF]
, 2005 A point particle of mass $\mu$ moving on a geodesic creates a perturbation $h_{ab}$, of the spacetime metric $g_{ab}$, that diverges at the particle. Simple expressions are given for the singular $\mu/r$ part of $h_{ab}$ and its distortion caused by the ...
Bender C M +15 more
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Fractal and Fractional, 2023 In this paper, we provide sufficient conditions for the existence, uniqueness and global behavior of a positive continuous solution to some nonlinear Riemann-Liouville fractional boundary value problems.
Entesar Aljarallah, Imed Bachar
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