Iterative Newton solution method for the Richardson scheme for a semilinear singular perturbed elliptic convection–diffusion equation

DOI10.1515/RJNAMM.2011.024zbMath1226.65089MaRDI QIDQ3093147

G. I. Shishkin, L. P. Shishkina

Publication date: 12 October 2011

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

zbMATH Keywords

convergenceDirichlet problemsingular perturbationNewton methoditerative schemesnonlinear difference schemeRichardson schemenested piecewise-uniform gridssemilinear elliptic convection-diffusion equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Semilinear elliptic equations (35J61)

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