A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters

DOI10.1016/j.cam.2020.113050zbMath1481.65137OpenAlexW3035292452WikidataQ114202050 ScholiaQ114202050MaRDI QIDQ2068620

P. Pramod Chakravarthy, Kamalesh Kumar, Higinio Ramos, Jesus Vigo Aguiar

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113050

zbMATH Keywords

singular perturbationerror estimateboundary layerstable finite difference scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (6)

Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions ⋮ An efficient numerical technique for two-parameter singularly perturbed problems having discontinuity in convection coefficient and source term ⋮ Unnamed Item ⋮ A uniformly convergent difference method for singularly perturbed parabolic partial differential equations with large delay and integral boundary condition ⋮ Comparative study on numerical methods for singularly perturbed advanced-delay differential equations ⋮ Higher-order uniformly convergent numerical scheme for singularly perturbed differential difference equations with mixed small shifts

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