A note on the WKB solutions of difference equations

2018/06/05 by M. I. Ayzatsky, Ayzatsky, M. I. · 1 citation
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical methods for differential equations #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1806.02196

openalex publication_date 2018/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Comparison of approximate solutions that were obtained by using different asymptotic methods of solutions of difference equations with the exact solution is presented. Results show that for the studied equation the method of transformation of the difference equation into the Riccati equation gives more correct solutions than the method of direct asymptotic expansion

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