A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on generalized adaptive mesh

DOI10.1007/s40314-023-02218-9zbMath1524.65285OpenAlexW4376505312MaRDI QIDQ6103370

Kaushik Mukherjee, Sonu Bose

Publication date: 2 June 2023

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-023-02218-9

zbMATH Keywords

parameter-uniform convergenceoverlapping boundary layerssystem of singularly perturbed convection-diffusion problemsscaled discrete derivativegeneralized S-mesh

Mathematics Subject Classification ID

Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (1)

Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh

Cites Work

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• Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution
• Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations
• A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term
• Pointwise and weighted a priori estimates of the solution and its first derivative for a singularly perturbed convection-diffusion equation
• A priori meshes for singularly perturbed quasilinear two-point boundary value problems
• A Robust Computational Method for System of Singularly Perturbed Differential Difference Equations with Discontinuous Convection Coefficients
• A parameter uniform numerical method for a system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients
• On the Approximation of Derivatives of Singularly Perturbed Boundary Value Problems
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• Positive solutions and dynamics of some reaction diffusion models in HIV transmission
• A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems
• Parameter-uniform finite difference scheme for a system of coupled singularly perturbed convection–diffusion equations
• Approximation of derivative to a singularly perturbed second-order ordinary differential equation with discontinuous convection coefficient using hybrid difference scheme
• UNIFORMLY-CONVERGENT NUMERICAL METHODS FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION–DIFFUSION EQUATIONS WITH MIXED TYPE BOUNDARY CONDITIONS
• Approximation of derivatives in a convection-diffusion two-point boundary value problem
• A higher-order scheme for quasilinear boundary value problems with two small parameters
• Approximation of derivative in a system of singularly perturbed convection-diffusion equations

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