Results 51 to 60 of about 421,152 (262)
Ain Shams Engineering Journal, 2018 In this paper, a numerical method based on Shishkin mesh for a singularly perturbed fourth order differential equation with a turning point exhibiting boundary layers is presented. In this method the problem is transformed into a weakly coupled system of
N. Geetha, A. Tamilselvan
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HODIE finite difference schemes on generalized Shishkin meshes
Journal of Computational and Applied Mathematics, 2004 The authors study a class of HODIE finite difference schemes for solving singular perturbation problems for one-dimensional linear diffusion-convection problems. The method uses a nonuniform Shishkin mesh to concentrate points in the boundary layer.
Clavero, C., Gracia, J. L.
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Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 We construct a finite difference scheme for a first-order linear singularly perturbed Volterra integro-differential equation (SPVIDE) on Bakhvalov-Shishkin mesh.
Hayriye GUCKİR CAKİR +2 more
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International Journal of Intelligent Systems, Volume 2023, Issue 1, 2023., 2023 The proposed research utilizes a computational approach to attain a numerical solution for the singularly perturbed delay differential equation (SPDDE) problem arising in the neuronal variability model through artificial neural networks (ANNs) with different solvers. The log‐sigmoid function is used to construct the fitness function. The implementation
Iftikhar Ahmad +6 more
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Abstract and Applied Analysis, Volume 2023, Issue 1, 2023., 2023 In this article, a singularly perturbed convection‐diffusion problem with a small time lag is examined. Because of the appearance of a small perturbation parameter, a boundary layer is observed in the solution of the problem. A hybrid scheme has been constructed, which is a combination of the cubic spline method in the boundary layer region and the ...
Mulunesh Amsalu Ayele +3 more
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Ain Shams Engineering Journal, 2018 In this article, a parameter-uniform numerical method for a weakly coupled system of singularly perturbed reaction–convection–diffusion problems with discontinuous source term containing two small parameters multiplied to the highest and second highest ...
Pathan Mahabub Basha, Vembu Shanthi
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Mathematical Problems in Engineering, Volume 2023, Issue 1, 2023., 2023 This study deals with the numerical solution of parabolic convection‐diffusion problems involving two small positive parameters and arising in modeling of hydrodynamics. To approximate the solution, the backward Euler method for time stepping and fitted trigonometric‐spline scheme for spatial discretization are considered on uniform meshes.
Tariku Birabasa Mekonnen +2 more
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Arab Journal of Mathematical Sciences, 2019 A class of third order singularly perturbed convection diffusion type equations with integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented.
Velusamy Raja, Ayyadurai Tamilselvan
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A note on a generalized Shishkin-type mesh
Novi Sad Journal of Mathematics, 2018 Summary: The one-dimensional linear singularly perturbed convection-diffusion problem is discretized using the upwind scheme on a mesh which is a mild generalization of Shishkin-type meshes. The generalized mesh uses the transition point of the Shishkin mesh, but it does not require any structure of its fine and course parts. Convergence uniform in the
Nhan, Thái Ahn, Vulanović, Relja
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Advances in Difference Equations, 2017 In this paper, we consider a singularly perturbed reaction-diffusion problem with a discontinuous source term. Boundary and interior layers appear in the solution.
Zhongdi Cen, Anbo Le, Aimin Xu
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