Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids

DOI10.1080/00207160.2013.792925zbMath1299.65211OpenAlexW2003334988MaRDI QIDQ2875298

S. Gowrisankar, Srinivasan Natesan

Publication date: 14 August 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.792925

zbMATH Keywords

uniform convergenceboundary layersupwind finite difference schemesingularly perturbed parabolic problemequidistribution grid

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods applied to problems in fluid mechanics (76M20) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) 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) 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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Cites Work

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• On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution

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