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A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point

https://doi.org/10.2478/cmam-2003-0023
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-45262-1_32openalex-snapshot
Singularly Perturbed Parabolic Problems on Non-rectangular Domains
inferredcites →https://doi.org/10.1007/bf01398914openalex-snapshot
Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
inferredcites →https://doi.org/10.1007/s006070170034openalex-snapshot
Uniform Pointwise Convergence of Difference Schemes for Convection-Diffusion Problems on Layer-Adapted Meshes
inferredcites →https://doi.org/10.1016/0041-5553(89)90109-2openalex-snapshot
Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
inferredcites →https://doi.org/10.1142/2933openalex-snapshot
Fitted Numerical Methods for Singular Perturbation Problems
inferredcites →https://doi.org/10.1201/9781482285727openalex-snapshot
Robust Computational Techniques for Boundary Layers

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Richardson Extrapolation Technique for Singularly Perturbed Parabolic Convection-Diffusion Problems With A Discontinuous Initial Condition
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An upwind finite difference scheme for singularly perturbed parabolic convection-diffusion problems with discontinuous initial conditions on a piecewise-uniform mesh
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A layer adaptive B-spline collocation method for singularly perturbed one-dimensional parabolic problem with a boundary turning point
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A higher order uniformly convergent method for singularly perturbed parabolic turning point problems
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Numerical Experiments with a Linear Convection–Diffusion Problem Containing a Time-Varying Interior Layer
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A Robust Numerical Method for a Singularly Perturbed Parabolic Convection-Diffusion Problem with a Degenerating Convective Term and a Discontinuous Right-Hand Side
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An almost second order parameter uniform scheme for 2D singularly perturbed boundary turning point problem
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Comparative study on difference schemes for singularly perturbed boundary turning point problems with Robin boundary conditions
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A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection–diffusion problems
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Second-Order Uniformly Convergent Richardson Extrapolation Method for Singularly Perturbed Degenerate Parabolic PDEs
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A brief survey on numerical methods for solving singularly perturbed problems
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A review on singularly perturbed differential equations with turning points and interior layers
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Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems
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Numerical approximation of 2D time dependent singularly perturbed convection–diffusion problems with attractive or repulsive turning points
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An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers
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A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection–diffusion problems
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A uniformly convergent quadratic B -spline based scheme for singularly perturbed degenerate parabolic problems
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Parameter-uniform numerical scheme for singularly perturbed parabolic convection–diffusion Robin type problems with a boundary turning point
inferred← citeshttps://doi.org/10.1016/j.rinam.2024.100519openalex-snapshot
A fitted mesh robust numerical method and analysis for the singularly perturbed parabolic PDEs with a degenerate coefficient
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Anϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem
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Robust numerical schemes for singularly perturbed delay parabolic convection-diffusion problems with degenerate coefficient
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An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers
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Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point
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Parameter-uniform error estimate for the implicit four-point scheme for a singularly perturbed heat equation with corner singularities
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SDFEM for Time-Dependent Singularly Perturbed Boundary Turning Point Problem
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An 𝜀-uniform method for a class of singularly perturbed parabolic problems with Robin boundary conditions having boundary turning point
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Crank–Nicolson Method for Singularly Perturbed Unsteady Parabolic Problem With Multiple Boundary Turning Points
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Fitted Operator Method for Singularly Perturbed Delay Parabolic Problems With Boundary Turning Points
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Hybrid Fitted Mesh Strategy for Singularly Perturbed Time‐Dependent Convection‐Diffusion Problems Featuring Boundary Turning Points
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PARAMETER INDEPENDENT SCHEME FOR SINGULARLY PERTURBED PROBLEMS INCLUDING A BOUNDARY TURNING POINT OF MULTIPLICITY ≥ 1
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Fitted Mesh Hybridized Approach for Singularly Perturbed Unsteady Convection-Diffusion Problem with Boundary Turning Points
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An Efficient Numerical Method for Singularly Perturbed Parabolic Convection-Diffusion Equations with Discontinuous Initial Conditions
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Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source
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SCHEMES CONVERGENT Ε-UNIFORMLY FOR PARABOLIC SINGULARLY PERTURBED PROBLEMS WITH A DEGENERATING CONVECTIVE TERM AND A DISCONTINUOUS SOURCE
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Grid Approximation of a Singularly Perturbed Parabolic Equation with Degenerating Convective Term and Discontinuous Right-Hand Side
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