Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm

DOI10.1016/j.cam.2009.07.036zbMath1173.65051OpenAlexW2050201137MaRDI QIDQ732150

Hassane Allouche, N. Marhraoui

Publication date: 9 October 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.07.036

zbMATH Keywords

numerical resultsfinite difference schemesingularitysingular boundary value problemsFrobenius methoddegenerate problemsqd-algorithmformally orthogonal Hadamard polynomialspole detectionquotient-difference (qd) algorithm

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Highly accurate method for solving singular boundary-value problems via Padé approximation and two-step quartic B-spline collocation ⋮ On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over an infinite interval ⋮ Convergence rate estimation of poly-sinc-based discontinuous Galerkin methods ⋮ Numerical solution of singular boundary value problems with logarithmic singularities by Padé approximation and collocation methods

Cites Work

• A similarity solution for combined forced and free convection flow over a horizontal plate
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• Cubic spline for solving singular two-point boundary value problems
• Approximate solution of linear ordinary differential equations with variable coefficients
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• A numerical method for solving singular boundary value problems
• Efficient solution of differential equations by analytic continuation
• Shooting methods for the Schrodinger equation
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