A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems (Q6148327)

scientific article; zbMATH DE number 7786760

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English	A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems	scientific article; zbMATH DE number 7786760

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instance of

scholarly article

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title

A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems (English)

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author

Gemechis File Duressa

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Fasika Wondimu Gelu

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Guta Demisu Kebede

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published in

Results in Applied Mathematics

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publication date

11 January 2024

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zbMATH Keywords

singularly perturbed

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higher-order

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Shishkin mesh

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tension method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.rinam.2023.100405

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cites work

Q4719887

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High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems

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High order parameter-robust numerical method for time dependent singularly perturbed reaction-diffusion problems

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On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems

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A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems

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Robust Numerical Scheme for Singularly Perturbed Parabolic Initial-Boundary-Value Problems on Equidistributed Mesh

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The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids

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A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems

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A robust overlapping Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction-diffusion problems

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Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems

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A discrete Schwarz waveform relaxation method of higher order for singularly perturbed parabolic reaction-diffusion problems

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Accelerated fitted operator finite difference method for singularly perturbed parabolic reaction-diffusion problems

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Parameter-uniform numerical scheme for singularly perturbed delay parabolic reaction diffusion equations with integral boundary condition

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A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space

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A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations

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High order parameter-uniform discretization for singularly perturbed parabolic partial differential equations with time delay

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A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay

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A fourth-order numerical scheme for singularly perturbed delay parabolic problem arising in population dynamics

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Novel numerical scheme for singularly perturbed time delay convection-diffusion equation

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A uniformly convergent collocation method for singularly perturbed delay parabolic reaction-diffusion problem

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A method of line with improved accuracy for singularly perturbed parabolic convection-diffusion problems with large temporal lag

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A uniformly convergent numerical scheme for two parameters singularly perturbed parabolic convection-diffusion problems with a large temporal lag

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A nonstandard fitted operator method for singularly perturbed parabolic reaction-diffusion problems with a large time delay

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Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type

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Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements

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Convergence analysis of finite element methods for singularly perturbed problems

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Q5319024

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Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems

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Q5562267

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A spline method for second-order singularly perturbed boundary-value problems

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A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems

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Identifiers

zbMATH Open document ID

1530.65083

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DOI

10.1016/j.rinam.2023.100405

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6148327