Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems

DOI10.1080/00207160.2021.1998467OpenAlexW3210019452MaRDI QIDQ5093069

Mukesh Kumar, Sumit, Sunil Kumar

Publication date: 26 July 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2021.1998467

zbMATH Keywords

boundary layerhigh-order schemeadaptive meshesequidistribution principleoptimal order convergence

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

A numerical approach for diffusion-dominant two-parameter singularly perturbed delay parabolic differential equations ⋮ High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations ⋮ On new approximations of Caputo–Prabhakar fractional derivative and their application to reaction–diffusion problems with variable coefficients

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