Improved error bounds for the Liouville Green (or WKB) approximation

DOI10.1016/0022-247X(82)90026-9zbMath0499.34035MaRDI QIDQ1171695

James G. Taylor

Publication date: 1982

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

zbMATH Keywords

singular integral equationsGronwall-Bellman inequalityLiouville-Green approximationerror analysis of approximate solution

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Green's functions for ordinary differential equations (34B27) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05)

Related Items

Liouville-Green approximations via the Riccati transformation, A complete asymptotic expansion of the Jacobi functions with error bounds, Decoupling of recessive and nonrecessive solutions for a second-order system, A new approach for the Jeffreys–Wentzel–Kramers–Brillouin theory, Continuous Newton-like Methods Featuring Inertia and Variable Mass, On the WKBJ approximation, Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation, Battle-outcome prediction for an extended system of Lanchester-type differential equations

Cites Work

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