FD method of arbitrary uniform order of accuracy for solving singularly perturbed boundary problems for second-order ordinary differential equations

DOI10.1007/BF02367988zbMath0839.65081MaRDI QIDQ4852821

V. M. Krasnikov, L. D. Grekov

Publication date: 24 March 1996

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemsingular perturbationuniform convergencedifference schemessecond-order ordinary differential equationrecurrent algorithmfunctional discrete method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Limitations of Richardson's extrapolation for a high order fitted mesh method for self-adjoint singularly perturbed problems ⋮ On Richardson extrapolation for fitted operator finite difference methods ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

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