A uniform numerical method for semilinear reaction-diffusion problems with a boundary turning point

DOI10.1007/s11075-009-9344-6zbMath1200.65070OpenAlexW1984638289MaRDI QIDQ5961875

Relja Vulanović, Ljiljana Teofanov

Publication date: 16 September 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9344-6

zbMATH Keywords

convergencesingular perturbationnumerical experimentsfinite-difference methodlayer-adapted meshesBakhvalov-type meshesboundary turning pointone-dimensional reaction-diffusion problemsemilinear boundary-value problemuniform error bounds

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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