Results 21 to 30 of about 104,752 (294)
Solving boundary value problems in the open source software R: package bvpSolve [PDF]
Opuscula Mathematica, 2014 The R package bvpSolve for the numerical solution of Boundary Value Problems (BVPs) is presented. This package is free software which is distributed under the GNU General Public License, as part of the R open source software project.
Francesca Mazzia +2 more
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Singular perturbation for nonlinear boundary-value problems
International Journal of Mathematics and Mathematical Sciences, 1979 Asymptotic solutions of a class of nonlinear boundary-value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular-perturbation type and ...
Rina Ling
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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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A numerical approach for singular perturbation problems with an interior layer using an adaptive spline [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 An adaptive spline is used in this work to deal with singularly perturbed boundary value problems with layers in the interior region. To evaluate the layer behavior in the solution, a different technique on a uniform mesh is designed by replacing the ...
E. Srinivas, M. Lalu, K. Phaneendra
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Моделирование и анализ информационных систем, 2016 We consider some singular perturbation problems in the case where a degenerate equation has intersecting roots (this case is also referred to as ‘ the exchange of stabilities’). Such problems often occur as models in chemical kinetics.
M. A. Terentyev
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A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs
Applied Sciences, 2022 Motivated by the fact that electrical transients are rather fast compared with mechanical response, the traditional cascade control structure constituted by the inner current and outer speed loops is usually employed in the permanent magnet synchronous ...
Zhiyuan Che +5 more
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Multi-Peak Solutions for a Wide Class of Singular Perturbation Problems [PDF]
, 1999 In this paper we are concerned with a wide class of singular perturbation problems arising from such diverse fields as phase transitions, chemotaxis, pattern formation, population dynamics and chemical reaction theory.
Wei, J, Winter, M
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Correctors for some asymptotic problems [PDF]
, 2010 In the theory of anisotropic singular perturbation boundary value problems, the solution u ɛ does not converge, in the H 1-norm on the whole domain, towards some u 0. In this paper we construct correctors to have good approximations of u ɛ in the H
J. L. Lions +9 more
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Numerical treatment of singular perturbation problems exhibiting dual boundary layers
Ain Shams Engineering Journal, 2015 In this paper, we employed a fitted operator finite difference method on a uniform mesh for solving singularly perturbed two-point boundary value problems exhibiting dual boundary layers.
K. Phaneendra +2 more
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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.
openaire +2 more sources