A NSFD method for the singularly perturbed Burgers-Huxley equation
Frontiers in Applied Mathematics and Statistics, 2023 This article focuses on a numerical solution of the singularly perturbed Burgers-Huxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a reliable and efficient numerical ...
Eshetu B. Derzie +2 more
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The braiding for representations of q-deformed affine $sl_2$ [PDF]
, 2000 We compute the braiding for the `principal gradation' of $U_q(\hat{{\it sl}_2})$ for $|q|=1$ from first principles, starting from the idea of a rigid braided tensor category.
Beggs +5 more
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Exponentially fitted tension spline method for singularly perturbed differential difference equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 In this article, singularly perturbed differential difference equations having delay and advance in the reaction terms are considered. The highest-order derivative term of the equation is multiplied by a perturbation parameter ε taking arbitrary values ...
M.M. Woldaregay, G.F. Duressa
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Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system [PDF]
, 2013 In this paper we propose a time discretization of a system of two parabolic equations describing diffusion-driven atom rearrangement in crystalline matter.
Colli, Pierluigi +4 more
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Numerical solution of a boundary value problem including both delay and boundary layer
Mathematical Modelling and Analysis, 2018 Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed.
Erkan Cimen
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A rigorous setting for the reinitialization of first order level set equations [PDF]
, 2015 In this paper we set up a rigorous justification for the reinitialization algorithm. Using the theory of viscosity solutions, we propose a well-posed Hamilton-Jacobi equation with a parameter, which is derived from homogenization for a Hamiltonian ...
Hamamuki, Nao, Ntovoris, Eleftherios
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Robust numerical method for singularly perturbed differential equations with large delay
Demonstratio Mathematica, 2021 In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim +2 more
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BIOMATH, 2016 In this paper an initial value problem for aВ non-linear system of two singularly perturbed first orderВ differential equations is considered on the interval (0,1].The components of the solution of this system exhibit initialВ layers at 0. A numerical method composed of a classicalВ finite difference scheme on a piecewise uniform ShishkinВ mesh is ...
Ishwariya Raj +3 more
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A Fitted Numerical Approach for Singularly Perturbed Two-Parameter Parabolic Problem with Time Delay
Computational and Mathematical Methods, 2023 This paper is aimed at constructing and analyzing a fitted approach for singularly perturbed time delay parabolic problems with two small parameters. The proposed computational scheme comprises the implicit Euler and especially finite difference method ...
Imiru Takele Daba +2 more
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Richardson Extrapolation for Singularly Perturbed Fredholm Integro Differential Equations [PDF]
International Journal of Mathematical, Engineering and Management SciencesThis study numerically derived the higher order convergence for a class of singularly perturbed Fredholm integro differential equations with reaction diffusion and convection diffusion type problems.
P. Antony Prince +2 more
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