Results 81 to 90 of about 12,351 (211)
Journal of Ocean Engineering and Science, 2018 A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications.
Khalid K. Ali +2 more
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Singularly perturbed boundary value problems
Differential and Integral Equations, 1994 The author considers the system \(-\varepsilon^ 2 u''+g_ 1 (u,v,x,\varepsilon) =0\), \(v''+g_ 2(u,v,x,\varepsilon)=0\), \(v(0)=v(1)=u(0)=u(1)=0\), \(x \in[0,1]\), \(\varepsilon \neq 0\), where \(g_ 1\), \(g_ 2\) are continuous functions specially choosen by the author, \(\varepsilon\) is a small parameter.
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Ain Shams Engineering Journal, 2018 In this paper, a numerical method based on Shishkin mesh for a singularly perturbed fourth order differential equation with a turning point exhibiting boundary layers is presented. In this method the problem is transformed into a weakly coupled system of
N. Geetha, A. Tamilselvan
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Singularly Perturbed Dirichlet Problems With Subquadratic Nonlinearities [PDF]
Transactions of the American Mathematical Society, 1987 Boundary and interior layer theory is provided for a class of singularly perturbed Dirichlet problems with subquadratic nonlinearities in the derivative terms. The results obtained generalize and extend well-known results on the semilinear problem.
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Extracellular Vesicle Lipids and Their Role in Delivery
Journal of Extracellular Biology, Volume 4, Issue 6, June 2025.ABSTRACT Small extracellular vesicles (sEVs) possess many advantageous characteristics which highlight their potential as nanocarriers for biomedical applications, including the ability to cross the blood brain barrier, improved biocompatibility and exhibit tissue tropism.
Austin Brent +2 more
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Boundary-layers for a Neumann problem at higher critical exponents
, 2016 We consider the Neumann problem $$(P)\qquad - \Delta v + v= v^{q-1} \ \text{in }\ \mathcal{D}, \ v > 0 \ \text{in } \ \mathcal{D},\ \partial_\nu v = 0 \ \text{on } \partial\mathcal{D} ,$$ where $\mathcal{D} $ is an open bounded domain in $\mathbb{R}^N,$ $
Manna, Bhakti B., Pistoia, Angela
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Қарағанды университетінің хабаршысы. Математика сериясыThe article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
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Numerical Solution of Singularly Perturbed Delay Differential Equations with Layer Behavior
Abstract and Applied Analysis, 2014 We present a numerical method to solve boundary value problems (BVPs) for singularly perturbed differential-difference equations with negative shift. In recent papers, the term negative shift has been used for delay.
F. Ghomanjani +2 more
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A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
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International Journal of Differential Equations, 2019 In this paper, an initial value method for solving a class of linear second-order singularly perturbed differential difference equation containing mixed shifts is proposed.
Wondwosen Gebeyaw Melesse +2 more
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