Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions

DOI10.1016/J.APNUM.2024.08.001MaRDI QIDQ6638823

N. S. Yadav, Kaushik Mukherjee

Publication date: 14 November 2024

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

zbMATH Keywords

Shishkin meshRichardson extrapolation methodsemilinear parabolic PDEsADI-fitted mesh methoderror estimate and order reduction analysissingularly perturbed 2D convection-diffusion problems

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Title not available (Why is that?)
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• A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems
• The midpoint upwind scheme
• Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems
• A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs
• Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection-diffusion problems on Shishkin mesh
• Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems
• A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction
• Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points
• An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems
• Monotone Schwarz iterates for a semilinear parabolic convection--diffusion problem
• A uniformly convergent alternating direction HODIE finite difference scheme for 2D time-dependent convection-diffusion problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions
• Iterative Solution of Nonlinear Equations in Several Variables
• Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters
• Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type
• Parameter-robust higher-order time-accurate computational method for singularly perturbed time-dependent semilinear convection-diffusion PDEs with discontinuous data
• Higher-order uniform convergence and order reduction analysis of a novel fractional-step FMM for singularly perturbed 2D parabolic PDEs with time-dependent boundary data

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