Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
Badeye SR, Woldaregay MM, Dinka TG.
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Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]
Min C, Wang L.
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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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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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We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations. Opposite to [J. Differential Equations 400(2024), 314–375] we assume that the unperturbed (frozen) equation
Flaviano Battelli +2 more
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Singularly perturbed ordinary differential equations
Consider abstract nonlinear equations of the form (*) \(Lu+\varepsilon F(u,v)=0\), \(S(v)+\varepsilon V(u,v)=0\) where \(L\) is linear, \(\varepsilon\) is a small parameter. By using the coincidence degree the author derives conditions on the operators such that (*) has a solution.
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Uniformly convergent computational method for singularly perturbed unsteady burger-huxley equation. [PDF]
Daba IT, Duressa GF.
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Singularly perturbed discrete differential equations
Discrete differential equations appear most prominently in planar map and lattice path enumeration. In this work we consider discrete differential equations with an additional parameter $x$, where the order of the equation is $1$ for $x=0$ but $k> 1$ for $x\ne 0$. We call such equations singularly perturbed.
Drmota, Michael, Hainzl, Eva-Maria
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A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay. [PDF]
Ejere AH +3 more
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