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Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]

BMC Res Notes, 2023
Reda BT, Bullo TA, Duressa GF.
europepmc +1 more source

Analytical Solutions and Computer Modeling of a Boundary Value Problem for a Nonstationary System of Nernst–Planck–Poisson Equations in a Diffusion Layer

Mathematics
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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Singularly Perturbed Higher Order Boundary Value Problems

Journal of Differential Equations, 1994
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 \(\varepsilon> 0\), \(y^{(i)}= (d^ i/dt^ i)y\), \(f= f(x,z,v)\), \(f: \langle 0,1\rangle\times \mathbb{R}^{n-2}\times \mathbb{R}\to \mathbb{R}\), \
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Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]