A parallel approach for self-adjoint singular perturbation problems using Numerov's scheme
DOI10.1080/00207160601138913zbMath1116.65090OpenAlexW2105340553MaRDI QIDQ3446594
Publication date: 19 June 2007
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160601138913
numerical exampledomain decompositionasymptotic approximationparallel computingboundary layerssingular perturbation problemNumerov's scheme
Parallel numerical computation (65Y05) 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)
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Cites Work
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- A parallel boundary value technique for singularly perturbed two-point boundary value problems
- High order fitted operator numerical method for self-adjoint singular perturbation problems
- Exponentially fitted spline approximation method for solving selfadjoint singular perturbation problems
- High-order finite-difference techniques for linear singular perturbation boundary value problems
- Fitted mesh \(B\)-spline collocation method for solving self-adjoint singularly perturbed boundary value problems
- An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem
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