The Asymptotic Iteration Method Revisited

Autor:	Ismail, Mourad E. H., Saad, Nasser
Rok vydání:	2020
Předmět:	Mathematical Physics 34A05 34C20 81Q05 65L15 65L07
Zdroj:	Journal of Mathematical Physics 61, 033501 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1063/1.5117143
Popis:	The Asymptotic Iteration Method (AIM) is a technique for solving analytically and approximately the linear second-order differential equation, especially the eigenvalue problems that frequently appear in theoretical and mathematical physics. The analysis and mathematical justifications of the success and failure of the asymptotic iteration method are detailed in this work. A theorem explaining why the asymptotic iteration method works for the eigenvalue problem is presented. As a byproduct, a new procedure to generate unlimited classes of exactly solvable differential equations is also introduced. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.06730 Zobrazit plný text záznamu View this record from Arxiv