Graded mesh B-spline collocation method for two parameters singularly perturbed boundary value problems. [PDF]
Andisso FS, Duressa GF.
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A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift. [PDF]
Ejere AH +3 more
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Singularly perturbed integral equations
The following singularly perturbed integral equation \[ \varepsilon u_\varepsilon(x) + \int_a^b K(x,y)u_\varepsilon(y)\,dy =f(x), \quad x\in[a,b]\tag{1} \] is considered, which becomes a Fredholm equation of first kind for \(\varepsilon=0\). The kernels \(K_\pm(x,y):=K(x,y)\) for \(\pm(x-y)>0\) are both smooth on \([a,b]\times[a,b]\) and might have ...
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A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations
This article describes an effective computing method for singularly perturbed parabolic problems with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is used.
Ahmed A. Al Ghafli +2 more
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A stochastic numerical approach for a class of singular singularly perturbed system. [PDF]
Sabir Z +4 more
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Perturbation formula of eigenvalues in a singularly perturbed domain
The author deals with partial degeneration of a domain (the Dumbbell shaped domain) and an asymptotic behavior of a certain class of eigenvalues of the Laplacian with Neumann boundary conditions. For small \(\zeta>0\), the domain \(\Omega(\zeta)\) is expressed as follows \(\Omega(\zeta)=D_ 1\cup D_ 2\cup Q(\zeta)\subset\mathbb{R}^ n\) where \(Q(\zeta)\)
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Singularly perturbed dynamics of the tippedisk. [PDF]
Sailer S, Leine RI.
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Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]
Negero NT.
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
Wondimu GM +3 more
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Fitted computational method for solving singularly perturbed small time lag problem. [PDF]
Tesfaye SK +3 more
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