An 𝜀-uniform method for a class of singularly perturbed parabolic problems with Robin boundary conditions having boundary turning point

DOI10.1142/S1793557120500254zbMath1434.65216OpenAlexW2889387012MaRDI QIDQ5213032

G. Janani Jayalakshmi, A. Tamilselvan

Publication date: 31 January 2020

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

Full work available at URL: https://doi.org/10.1142/s1793557120500254

zbMATH Keywords

finite difference schemesingularly perturbed problemShishkin meshboundary turning pointparabolic differential equationsconvection diffusion

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Singular parabolic equations (35K67)

Related Items (4)

Parameter-uniform numerical scheme for singularly perturbed parabolic convection-diffusion Robin type problems with a boundary turning point ⋮ A parameter-uniform numerical method for singularly perturbed Robin type parabolic convection-diffusion turning point problems ⋮ Uniform high-order convergence of multiscale finite element computation on a graded recursion for singular perturbation ⋮ On \(\varepsilon \)-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer

Cites Work

• Parameter-uniform numerical methods for some linear and nonlinear singularly perturbed convection diffusion boundary turning point problems
• Fitted Numerical Methods For Singular Perturbation Problems
• Continuous and Numerical Analysis of a Multiple Boundary Turning Point Problem
• On the numerical solution of a singularly-perturbed equation with a turning point
• A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point
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