Singular perturbation boundary and interior layers problems with multiple turning points
In the study of singularly perturbed boundary problems with turning points, the solution undergoes sharp changes near these points and exhibits various interior phenomena.
Xinyu Wang, Na Wang
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Numerical methods for stiff systems of two-point boundary value problems [PDF]
Numerical procedures are developed for constructing asymptotic solutions of certain nonlinear singularly perturbed vector two-point boundary value problems having boundary layers at one or both endpoints.
Flaherty, J. E., Omalley, R. E., Jr.
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Singularly Perturbed Higher Order Boundary Value Problems
The author considers the boundary value problem \(\varepsilon^ 2\cdot y^{(n)}= f(x,y,\dots, y^{(n-3)},y^{(n-2)})\), \(n\geq 3\), \({\mathcal B}y= 0\), \({\mathcal L}y= 0\), \(x\in \langle 0,1\rangle\), where \(\varepsilon> 0\), \(y^{(i)}= (d^ i/dt^ i)y\), \(f= f(x,z,v)\), \(f: \langle 0,1\rangle\times \mathbb{R}^{n-2}\times \mathbb{R}\to \mathbb{R}\), \
openaire +2 more sources
Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
Badeye SR, Woldaregay MM, Dinka TG.
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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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A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift. [PDF]
Ejere AH +3 more
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This article proposes various new approximate analytical solutions of the boundary value problem for the non-stationary system of Nernst–Planck–Poisson (NPP) equations in the diffusion layer of an ideally selective ion-exchange membrane at overlimiting ...
Savva Kovalenko +4 more
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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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