Singularly Perturbed Dirichlet Problems With Subquadratic Nonlinearities [PDF]
Transactions of the American Mathematical Society, 1987 Boundary and interior layer theory is provided for a class of singularly perturbed Dirichlet problems with subquadratic nonlinearities in the derivative terms. The results obtained generalize and extend well-known results on the semilinear problem.
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Parametrized Singularly Perturbed Boundary Value Problems
Journal of Mathematical Analysis and Applications, 1994 Boundary value problems for some \((\varepsilon,\lambda)\)-families of singularly perturbed higher order ordinary differential equations are considered. The author applies an approach of his paper [J. Differ. Equation 106, 312-331 (1993)] to give the lower estimates for the number of parameters \(\lambda\in \mathbb{R}^ m\) for which those equations ...
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Robust Error Estimation for Singularly Perturbed Fourth Order Problems
Моделирование и анализ информационных систем, 2016 We consider two-dimensional singularly perturbed fourth order problems and estimate on properly constructed layer-adapted errors of a mixed method in the associated energy norms and balanced norms. This paper is a shortened version of [4].
S. Franz, R. H.-G.
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On the Uniqueness of the Positive Solution of a Singularly Perturbed Problem
Rocky Mountain Journal of Mathematics, 1995 The author proves that if \(1< p< (n+ 2)/(n- 2)\) and the domain \(D\subset \mathbb{R}^n\) is of type \(R_n\), then there is a unique nontrivial positive solution for small \(\varepsilon> 0\) to the problem \[ - \varepsilon \Delta u= u^p- u\quad\text{in} \quad D,\quad u= 0\quad\text{on} \quad \partial D. \] The domain is of type \(R_n\) if \(0\in D\), \
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A Singularly Perturbed Nonlinear Boundary Value Problem
Journal of Mathematical Analysis and Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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MathematicsThis 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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Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]
BMC Res Notes, 2023 Reda BT, Bullo TA, Duressa GF.
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Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]
BMC Res Notes, 2023 Negero NT.
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Quartic spline technique for time-dependent convection-diffusion of singularly perturbed problems
Results in EngineeringA multi-parameter singularly perturbed partial differential equation of convection-diffusion type is analyzed. Time and space variables with two fitting factors on a uniform mesh are calculated by Euler’s method and the quartic spline technique ...
Swarnakar Dornala +5 more
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Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Badeye SR, Woldaregay MM, Dinka TG.
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