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Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system [PDF]
Mathematical Communications, 2010 A singularly perturbed linear system of second order ordinary differential equations of reaction-diffusion type with given boundary conditions is considered. The leading term of each equation is multiplied by a small positive parameter. These singular perturbation parameters are assumed to be distinct. The components of the solution exhibit overlapping
Mathiyazhagan, Paramasivam +2 more
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Computational and Mathematical MethodsIn this study, we consider a parameter-uniform convergent numerical approach for a class of time-fractional singularly perturbed partial differential equations (TF-SPDPDEs) with large delay in time that exhibits a regular exponential boundary layer on ...
Habtamu Getachew Kumie +2 more
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Journal of Applied Analysis & Computation, 2022 Summary: In this paper, a high order hybridizable discontinuous Galerkin method (HDG) on two layer-adapted meshes have been developed for the singularly perturbed convection-diffusion problems in one and two-dimensional. The existence and uniqueness of the HDG solutions are verified. Thanks to the implementation of two-type different anisotropic meshes,
Li, Yaxiang, Wang, Jiangxing
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Mathematics, 2023 This article aims at the development and analysis of a numerical scheme for solving a singularly perturbed parabolic system of n reaction–diffusion equations where m of the equations (with ...
Manikandan Mariappan +2 more
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Results in Physics, 2023 The present paper deals with the class of time-delayed, singularly perturbed parabolic reaction–diffusion problems. In the x−t plane, parabolic boundary layers appear on the two lateral sides of the domain when a small parameter is multiplied by the ...
Naol Tufa Negero
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Parameter estimation of quantized DARMA systems using weighted least squares
IET Control Theory & Applications, 2023 This paper is concerned with parameter estimate of deterministic autoregressive moving average (DARMA) systems with uniform quantized output observations.
Lida Jing
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Journal of Applied Mathematics and Computing, 2022 AbstractWe construct and analyze a domain decomposition method to solve a class of singularly perturbed parabolic problems of reaction-diffusion type having Robin boundary conditions. The method considers three subdomains, of which two are finely meshed, and the other is coarsely meshed.
Sunil Kumar +3 more
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Design of Arbitrary Time Convergence Controller for n-th Order System
International Journal of Aerospace Engineering, 2022 A class of arbitrary time convergence controllers based on a special time-varying scaling function provide designers with a good choice to realize prescribed time stable systems.
Nianhao Xie +3 more
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Results in Applied Mathematics, 2023 The singularly perturbed parabolic convection–diffusion equations with integral boundary conditions and a large negative shift are studied in this paper.
Wondimagegnehu Simon Hailu +1 more
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Ratio Mathematica, 2023 A linear system of ’n’ second order ordinary differential equations of reaction-diffusion type with discontinuous source terms is considered. On a piecewise uniform Shishkin mesh, a numerical system is built that employs the finite element method. The numerical approximations obtained by this approach are proven to be effectively almost second order ...
Maruthamuthu, Vinoth +1 more
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