Fitted mesh methods for a class of weakly coupled system of singularly perturbed convection-diffusion equations

DOI10.1007/978-981-16-7546-1_9zbMath1506.65108OpenAlexW4207070111MaRDI QIDQ2097052

John J. H. Miller, Saravanasankar Kalaiselvan, S. Valarmathi

Publication date: 11 November 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-7546-1_9

zbMATH Keywords

finite difference methodShishkin meshsingular perturbation problemssystem of convection-diffusion equationsparameter uniform method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) 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)

Cites Work

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• Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations
• Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system
• Applications of Singular Perturbation Techniques to Control Problems
• A Parameter-Uniform Finite Difference Method for Multiscale Singularly Perturbed Linear Dynamical Systems
• A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations

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