On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]
This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT +1 more
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Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]
Reda BT, Bullo TA, Duressa GF.
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Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
Badeye SR, Woldaregay MM, Dinka TG.
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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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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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A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data [PDF]
In this paper, a singularly perturbed ordinary differential equation\ud with non-smooth data is considered. The numerical method is\ud generated by means of a Petrov-Galerkin finite element method with\ud the piecewise-exponential test function and the ...
Liu, Fawang, Zheng, Tingting
core
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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