Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Monotonic Nonlinearity
Sign Up to like & getrecommendations! Published in 2018 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542518040097
Abstract: AbstractA singularly perturbed parabolic equation $${\varepsilon ^2}\left( {{{\text{a}}^2}\frac{{{\partial ^2}u}}{{\partial {x^2}}} - \frac{{\partial u}}{{\partial t}}} \right) = F\left( {u,x,t,\varepsilon } \right)$$ε2(a2∂2u∂x2−∂u∂t)=F(u,x,t,ε) is considered in a rectangle with boundary conditions of the first kind. The function F… read more here.
Keywords: singularly perturbed; perturbed parabolic; layer boundary; boundary value ... See more keywords
A Higher-Order Finite Difference Scheme for Singularly Perturbed Parabolic Problem
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DOI: 10.1155/2021/9941692
Abstract: In this paper, we deal with a singularly perturbed parabolic convection-diffusion problem. Shishkin mesh and a hybrid third-order finite difference scheme are adopted for the spatial discretization. Uniform mesh and the backward Euler scheme are… read more here.
Keywords: singularly perturbed; order; perturbed parabolic; scheme ... See more keywords
Accurate numerical scheme for singularly perturbed parabolic delay differential equation
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DOI: 10.1186/s13104-021-05769-4
Abstract: Objectives Numerical treatment of singularly perturbed parabolic delay differential equation is considered. Solution of the equation exhibits a boundary layer, which makes it difficult for numerical computation. Accurate numerical scheme is proposed using $$\theta$$ θ… read more here.
Keywords: singularly perturbed; perturbed parabolic; scheme; parabolic delay ... See more keywords