Results 101 to 110 of about 19,649 (184)

Singularly perturbed integral equations

open access: yesJournal of Mathematical Analysis and Applications, 2006
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 ...
openaire   +2 more sources

A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations

open access: yesAxioms
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
doaj   +1 more source

A stochastic numerical approach for a class of singular singularly perturbed system. [PDF]

open access: yesPLoS One, 2022
Sabir Z   +4 more
europepmc   +1 more source

Perturbation formula of eigenvalues in a singularly perturbed domain

open access: yesJournal of the Mathematical Society of Japan, 1993
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 \(Q(\zeta)\)
openaire   +3 more sources

Singularly perturbed dynamics of the tippedisk. [PDF]

open access: yesProc Math Phys Eng Sci, 2021
Sailer S, Leine RI.
europepmc   +1 more source

Fitted computational method for solving singularly perturbed small time lag problem. [PDF]

open access: yesBMC Res Notes, 2022
Tesfaye SK   +3 more
europepmc   +1 more source

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