UNIFORMLY-CONVERGENT NUMERICAL METHODS FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION–DIFFUSION EQUATIONS WITH MIXED TYPE BOUNDARY CONDITIONS

DOI10.3846/13926292.2013.851629zbMath1293.65108OpenAlexW2086090680MaRDI QIDQ5419700

Rajarammohanroy Mythili Priyadharshini, Narashimhan Ramanujam

Publication date: 11 June 2014

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2013.851629

zbMATH Keywords

convergenceconvection-diffusion equationfinite difference schemeerror boundsweakly coupled systemnumerical resultsingular perturbation problemscubic spline schememid-point schemepiecewise uniform meshesscaled derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (8)

A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms ⋮ An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions ⋮ 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 ⋮ Highly accurate method for a singularly perturbed coupled system of convection-diffusion equations with Robin boundary conditions ⋮ Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh ⋮ Approximation of derivative in a system of singularly perturbed convection-diffusion equations ⋮ A numerical method for singularly perturbed second order coupled system of convection-diffusion Robin type boundary value problems with discontinuous source term ⋮ A uniformly convergent hybrid difference scheme for a system of singularly perturbed initial value problems

This page was built for publication: UNIFORMLY-CONVERGENT NUMERICAL METHODS FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION–DIFFUSION EQUATIONS WITH MIXED TYPE BOUNDARY CONDITIONS