Analysis of the SDFEM for singularly perturbed differential–difference equations
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DOI: 10.1007/s10092-018-0265-4
Abstract: In this paper, the stability and accuracy of a streamline diffusion finite element method (SDFEM) for the singularly perturbed differential–difference equation of convection term with a small shift is considered. With a special choice of… read more here.
Keywords: singularly perturbed; differential difference; perturbed differential; sdfem singularly ... See more keywords
Numerical simulation and convergence analysis for a system of nonlinear singularly perturbed differential equations arising in population dynamics
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2018.1468891
Abstract: Abstract In this article, we consider a system of nonlinear singularly perturbed differential equations with two different parameters. To solve this system, we develop a weighted monotone hybrid scheme on a nonuniform mesh. The proposed… read more here.
Keywords: singularly perturbed; system; perturbed differential; system nonlinear ... See more keywords
Robust numerical method for singularly perturbed differential equations having both large and small delay
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DOI: 10.1108/ajms-09-2020-0058
Abstract: PurposeThe purpose of this study is to develop stable, convergent and accurate numerical method for solving singularly perturbed differential equations having both small and large delay.Design/methodology/approachThis study introduces a fitted nonpolynomial spline method for singularly… read more here.
Keywords: numerical method; singularly perturbed; differential equations; delay ... See more keywords