Numerical analysis of a singularly perturbed convection diffusion problem with shift in space

DOI10.1016/j.apnum.2023.01.003arXiv2207.09218MaRDI QIDQ6101781

Sebastian Franz, Mirjana Brdar, Hans-Goerg Roos, Lars Ludwig

Publication date: 20 June 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.09218

zbMATH Keywords

singularly perturbed problemconvection-diffusionshift in space

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (1)

A convection-diffusion problem with a large shift on Durán meshes

Cites Work

• An initial value technique for singularly perturbed convection-diffusion problems with a negative shift
• Green's functions. Construction and applications
• A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations
• Asymptotic initial value technique for singularly perturbed convection-diffusion delay problems with boundary and weak interior layers
• Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay
• A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space
• Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
• Finite element approximation of convection diffusion problems using graded meshes
• Singularly Perturbed Convection-Diffusion Turning Point Problem with Shifts
• Numerical Analysis of a System of Singularly Perturbed Convection-Diffusion Equations Related to Optimal Control
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Higher order numerical approximation for time dependent singularly perturbed differential‐difference convection‐diffusion equations

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