Results 11 to 20 of about 104,752 (294)
Resonance for Singular Perturbation Problems [PDF]
SIAM Journal on Applied Mathematics, 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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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.
Kreiss, Barbro, Kreiss, Heinz-Otto
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Multiple Solutions of Singular Perturbation Problems [PDF]
SIAM Journal on Mathematical Analysis, 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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Variational problems with singular perturbation [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 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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Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations
Journal of Inequalities and Applications, 2007 By virtue of an operator-theoretical approach, we deal with hyperbolic singular perturbation problems for integrodifferential equations. New convergence theorems for such singular perturbation problems are obtained, which generalize some previous results
Jin Liang, Ti-Jun Xiao, James Liu
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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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A Numerical scheme to Solve Boundary Value Problems Involving Singular Perturbation
مجلة بغداد للعلوم, 2023 The Wang-Ball polynomials operational matrices of the derivatives are used in this study to solve singular perturbed second-order differential equations (SPSODEs) with boundary conditions.
Hussain A. Alaidroos +2 more
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Axiomatic Approach in the Analytic Theory of Singular Perturbations
Axioms, 2020 Introduced by S.A. Lomov, the concept of a pseudoanalytic (pseudoholomorphic) solution laid the foundation for the development of the singular perturbation analytical theory.
Margarita Besova, Vasiliy Kachalov
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An Extended Finite Difference Method for Singular Perturbation Problems on a Non-Uniform Mesh
International Journal of Applied Mechanics and Engineering, 2022 An extended second order finite difference method on a variable mesh is proposed for the solution of a singularly perturbed boundary value problem.
D. Swarnakar +2 more
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A generalized regularization scheme for solving singularly perturbed parabolic PDEs
Partial Differential Equations in Applied Mathematics, 2022 Many problems in science and engineering can be modeled as singularly perturbed partial differential equations. Solutions to such problems are not generally continuous with respect to the perturbation parameter(s) and hence developing stable and ...
M.P. Rajan, G.D. Reddy
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