Results 61 to 70 of about 1,916 (200)
AxiomsThis paper proposes a robust finite difference method on a fitted Shishkin mesh to solve a system of n singularly perturbed convection–reaction–diffusion differential equations with two small parameters.
Jenolin Arthur +3 more
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This study introduces a fitted numerical approach for solving singularly perturbed time‐fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano ...
Nuru Ahmed Endrie +2 more
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Accelerated Fitted Mesh Scheme for Singularly Perturbed Turning Point Boundary Value Problems
Journal of Mathematics, 2022 An accelerated fitted mesh scheme is proposed for the numerical solution of the singularly perturbed boundary value problems whose solution exhibits an interior layer near the turning point.
Tesfaye Aga Bullo
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A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
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A robust DPG method for singularly perturbed reaction-diffusion problems
, 2017 We present and analyze a discontinuous Petrov-Galerkin method with optimal test functions for a reaction-dominated diffusion problem in two and three space dimensions. We start with an ultra-weak formulation that comprises parameters $\alpha$, $\beta$ to
Heuer, Norbert, Karkulik, Michael
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Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems [PDF]
, 2019 We present a stability and convergence theory for the lossy Helmholtz equation and its Galerkin discretization. The boundary conditions are of Robin type. All estimates are explicit with respect to the real and imaginary part of the complex wave number $\
Melenk, Jens M. +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper presents a class of singularly perturbed parabolic‐type reaction diffusion problems. Due to the presence of a small parameter ε, (0 < ε ≪ 1) as a diffusion coefficient, the proposed problem exhibits twin boundary layers in the neighborhood of the end points of the spatial domain near x = 0 and x = 1.
Amare Worku Demsie +3 more
wiley +1 more source
AxiomsThis work aims to provide approximate solutions for singularly perturbed problems with periodic boundary conditions using quintic B-splines and collocation. The well-known Shishkin mesh strategy is applied for mesh construction.
Puvaneswari Arumugam +3 more
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Advances in Difference Equations, 2021 This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral boundary condition on a rectangular domain.
Sekar Elango +6 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, a numerical scheme for time‐delay singularly perturbed parabolic convection‐diffusion problems with boundary turning points is presented. The solution of the problem shows a steep gradient or rapid variation at the left region of the spatial domain as the perturbation parameter approaches zero.
Yimesgen Mehari Kebede +3 more
wiley +1 more source