Opposing flows in a one dimensional convection-diffusion problem

DOI10.2478/s11533-011-0121-0zbMath1259.65122OpenAlexW2049784210MaRDI QIDQ432216

Eugene O'Riordan

Publication date: 3 July 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0121-0

zbMATH Keywords

stabilitynumerical examplesingular perturbationconvection-diffusion problemerror estimateShishkin meshdiscontinuous coefficientparameter-uniform convergencesecond-order two-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) 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)

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Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term, A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms, Interior Layers in Singularly Perturbed Problems

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