On \(\varepsilon \)-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer
DOI10.1007/s40819-021-00979-7zbMath1499.65445OpenAlexW3152596873MaRDI QIDQ2114701
Kaushik Mukherjee, Narendra Singh Yadav
Publication date: 15 March 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-00979-7
uniform convergencefinite difference schemepiecewise-uniform Shishkin meshsemi-linear parabolic problemregular boundary layerRichardson extrapolation techniquesingularly perturbed parabolic convection-diffusion problem
Singular perturbations in context of PDEs (35B25) 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) Extrapolation to the limit, deferred corrections (65B05) Finite difference methods for boundary value problems involving PDEs (65N06) Semilinear parabolic equations (35K58)
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