The analytical and approximate solutions of epsilony=yy'

DOI10.1016/0022-247X(83)90249-4zbMath0523.34003OpenAlexW1978512532MaRDI QIDQ584599

S. M. Roberts

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90249-4

zbMATH Keywords

analytical solutionapproximate solutionstwo-point boundary value problemnumerical evaluationtangent solution

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Numerical analysis in abstract spaces (65J99)

Related Items (9)

Initial-value technique for a class of nonlinear singular perturbation problems ⋮ An initial-value approach for solving singularly perturbed two-point boundary value problems ⋮ Further examples of the boundary value technique in singular perturbation problems ⋮ New initial-value method for singularly perturbed boundary-value problems ⋮ Asymptotic and numerical analysis of singular perturbation problems: A survey ⋮ An Initial-Value Technique for Singularly Perturbed Boundary Value Problems via Cubic Spline ⋮ A boundary value approach for a class of linear singularly perturbed boundary value problems ⋮ An approach to singular perturbation problems insoluble by asymptotic methods ⋮ On the analytical and approximate solutions of \(\epsilon y=yy'\)

Cites Work

• On the closed form solution of Troesch's problem
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