An Adaptive Mesh Selection Strategy for Solving Singularly Perturbed Parabolic Partial Differential Equations with a Small Delay

DOI10.1007/978-3-030-01123-9_8zbMath1465.65074OpenAlexW2912658897MaRDI QIDQ3296771

R. Nageshwar Rao, P. Pramod Chakravarthy, Trun Gupta, Kamalesh Kumar

Publication date: 2 July 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-01123-9_8

zbMATH Keywords

adaptive meshsingularly perturbed parabolic partial differential equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) PDEs on time scales (35R07)

Related Items (3)

Parameter robust higher‐order finite difference method for convection‐diffusion problem with time delay ⋮ Hybrid fitted numerical scheme for singularly perturbed convection-diffusion problem with a small time lag ⋮ A uniformly convergent defect correction method for parabolic singular perturbation problems with a large delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments
• Theory and applications of partial functional differential equations
• An adaptive mesh strategy for singularly perturbed convection diffusion problems
• A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
• Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
• A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory
• Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations
• Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations
• ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations

This page was built for publication: An Adaptive Mesh Selection Strategy for Solving Singularly Perturbed Parabolic Partial Differential Equations with a Small Delay