Construction of asymptotic solutions to discrete Bessel equations

DOI10.1016/0898-1221(94)00110-3zbMath0810.39001OpenAlexW1991328533MaRDI QIDQ1334586

Ronald E. Mickens

Publication date: 21 September 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00110-3

zbMATH Keywords

asymptotic solutionfinite difference methodsasymptotic representationsBessel equationNumerov-Mickens schemes

Mathematics Subject Classification ID

Additive difference equations (39A10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

• Asymptotic analysis. Reprint
• Numerov method maximally adapted to the Schrödinger equation
• Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation
• Calculation of oscillatory properties of the solutions of two coupled, first order non-linear ordinary differential equations
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
• Failure of the method of slowly varying amplitude and phase for non-linear, singular oscillators
• WKB methods for difference equations I
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