Global uniform convergence of a numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations

DOI10.1007/978-981-16-7546-1_2zbMath1506.65111OpenAlexW4207048687MaRDI QIDQ2097039

S. Chandra Sekhara Rao, Varsha Srivastava, Abhay Kumar Chaturvedi

Publication date: 11 November 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-7546-1_2

zbMATH Keywords

Shishkin meshconvection-diffusion equationscentral difference schemeweakly coupled systemparameter-uniform convergencesecond-order compact difference scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (2)

Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay ⋮ Analysis of an LDG-FEM for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers

Cites Work

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• An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction-diffusion equations
• Uniform global convergence of a hybrid scheme for singularly perturbed reaction-diffusion systems
• Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems
• Numerical solution of singularly perturbed convection-diffusion problem using parameter uniform B-spline collocation method
• Difference approximations for singular perturbations of systems of ordinary differential equations
• A finite difference analysis of a streamline diffusion method on a Shishkin mesh
• Numerical solution of singularly perturbed linear parabolic system with discontinuous source term
• A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations
• High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type
• Second order global uniformly convergent numerical method for a coupled system of singularly perturbed initial value problems
• Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term
• Applications of Singular Perturbation Techniques to Control Problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling
• Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems
• Parameter-uniform finite difference scheme for a system of coupled singularly perturbed convection–diffusion equations
• Robust High Order Convergence of an Overlapping Schwarz Method for Singularly Perturbed Semilinear Reaction-Diffusion Problems
• Second Order Uniformly Convergent Numerical Method for a Coupled System of Singularly Perturbed Reaction-Diffusion Problems with Discontinuous Source Term

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