Difference schemes for the singularly perturbed Sobolev periodic boundary problem.

DOI10.1016/S0096-3003(02)00965-7zbMath1047.65066OpenAlexW2066839087MaRDI QIDQ1427908

Hakki Duru

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00965-7

zbMATH Keywords

singular perturbationerror estimatesuniform convergencedifference schemeboundary layersSobolev problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh ⋮ On adaptive mesh for the initial boundary value singularly perturbed delay Sobolev problems ⋮ Correction Statement ⋮ The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition ⋮ A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh ⋮ On a rational differential quadrature method in irregular domains for problems with boundary layers ⋮ Uniform difference method for singularly pertubated delay Sobolev problems ⋮ Exponentially-fitted methods on layer-adapted meshes

Cites Work

• Asymptotic and numerical analysis of singular perturbation problems: A survey
• General Boundary Value Problems for Differential Equations of Sobolev Type
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Difference schemes for the singularly perturbed Sobolev periodic boundary problem.