PARAMETER-UNIFORM IMPROVED HYBRID NUMERICAL SCHEME FOR SINGULARLY PERTURBED PROBLEMS WITH INTERIOR LAYERS

DOI10.3846/mma.2018.011zbMath1488.65186OpenAlexW2800311344MaRDI QIDQ4959384

Kaushik Mukherjee

Publication date: 13 September 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2018.011

zbMATH Keywords

uniform convergencenumerical schemeinterior layerpiecewise-uniform Shishkin meshsingularly perturbed boundary-value problem

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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

Absolutely stable difference scheme for a general class of singular perturbation problems ⋮ Uniformly convergent new hybrid numerical method for singularly perturbed parabolic problems with interior layers ⋮ Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term ⋮ A fourth-order numerical scheme for singularly perturbed delay parabolic problem arising in population dynamics ⋮ On \(\varepsilon \)-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer

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• A HYBRID DIFFERENCE SCHEME FOR SINGULARLY PERTURBED SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS CONVECTION COEFFICIENT AND MIXED TYPE BOUNDARY CONDITIONS

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