SCHEMES CONVERGENT Ε-UNIFORMLY FOR PARABOLIC SINGULARLY PERTURBED PROBLEMS WITH A DEGENERATING CONVECTIVE TERM AND A DISCONTINUOUS SOURCE

DOI10.3846/13926292.2015.1091041zbMath1488.65231OpenAlexW1764251568MaRDI QIDQ5011262

G. I. Shishkin, L. P. Shishkina, José Luis Gracia, Carmelo Clavero

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2015.1091041

zbMATH Keywords

interior layerdiscontinuous right-hand side1D parabolic singularly perturbed problems\(\varepsilon \)-uniform convergencedegenerating convective term

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

An almost second order hybrid scheme for the numerical solution of singularly perturbed parabolic turning point problem with interior layer ⋮ A uniformly convergent quadratic \(B\)-spline based scheme for singularly perturbed degenerate parabolic problems ⋮ An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer ⋮ Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers ⋮ An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers ⋮ An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers

Cites Work

• A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point
• Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source
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