scientific article; zbMATH DE number 7138737

zbMath1427.65126MaRDI QIDQ4972947

Pankaj K. Mishra, Kapil K. Sharma, Amiya K. Pani, Graeme Faiweather

Publication date: 29 November 2019

Full work available at URL: http://www.math.ualberta.ca/ijnam/Volume-16-2019/No-4-19/2019-04-07.pdf

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zbMATH Keywords

superconvergenceShishkin meshorthogonal spline collocationquasi-optimal global error estimatessingularly perturbed reaction diffusion problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (4)

Numerical solution of sigularly perturbed parabolic problems by a local kernel-based method with an adaptive algorithm ⋮ High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems ⋮ A uniformly convergent numerical algorithm on harmonic \((H(\ell))\) mesh for parabolic singularly perturbed convection-diffusion problems with boundary layer ⋮ A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data

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