English

A note on the WKB solutions of difference equations

Classical Analysis and ODEs 2018-06-07 v1 Computational Physics

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

Cite

@article{arxiv.1806.02196,
  title  = {A note on the WKB solutions of difference equations},
  author = {M. I. Ayzatsky},
  journal= {arXiv preprint arXiv:1806.02196},
  year   = {2018}
}

Comments

12 pages, 6 figures. arXiv admin note: text overlap with arXiv:1709.00842

R2 v1 2026-06-23T02:21:04.525Z