A layer adaptive B-spline collocation method for singularly perturbed one-dimensional parabolic problem with a boundary turning point

DOI10.1002/num.20574zbMath1228.65195OpenAlexW2006648386MaRDI QIDQ3093107

Mohan K. Kadalbajoo, Vikas Gupta

Publication date: 12 October 2011

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20574

zbMATH Keywords

comparison of methodsnumerical resultssingular perturbationuniform convergenceimplicit Euler methodShishkin meshfinite differenceparabolic problemboundary turning pointB-spline collocationparabolic boundary layer

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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