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A SDFEM for system of two singularly perturbed problems of convection-diffusion type with discontinuous source term
We consider a system of two singularly perturbed Boundary Value Problems...
04/08/2021 ∙ by A. Ramesh Babu, et al. ∙
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On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements
In this paper we consider the monodomain model of cardiac electrophysiol...
06/16/2019 ∙ by Elena Beretta, et al. ∙
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Hypersingular nonlinear boundary-value problems with a small parameter
For the first time, some hypersingular nonlinear boundary-value problems...
02/11/2018 ∙ by Andrei D. Polyanin, et al. ∙
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On construction of a global numerical solution for a semilinear singularly–perturbed reaction diffusion boundary value problem
A class of different schemes for the numerical solving of semilinear sin...
09/14/2020 ∙ by Samir Karasuljić, et al. ∙
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Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension
We present a numerical approach for computing attractive-repulsive power...
09/02/2021 ∙ by Timon S. Gutleb, et al. ∙
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A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion
Motivated by a wide range of real-world problems whose solutions exhibit...
08/30/2021 ∙ by Scott P. MacLachlan, et al. ∙
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An alternative extended linear system for boundary value problems on locally perturbed geometries
This manuscript presents a new extended linear system for integral equat...
07/16/2020 ∙ by Yabin Zhang, et al. ∙
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Numerical analysis of grid-clustering rules for problems with power of the first type boundary layers
05/23/2021 ∙ by Samir Karasuljic, et al. ∙
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This paper demonstrates results of numerical experiments on some popular and new layer-resolving grids applied for solving one-dimensional singularly-perturbed problems having power of the first type boundary layers.
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