TITLE:
On the High-Order Quasi Exactly Solvable Differential Equations
AUTHORS:
Talal H. Alzanki, Mohamed S. Shaaban, Mohamad K. El-Daou
KEYWORDS:
Quasi-Exactly Solvable High-Order Differential Equations, Canonical Polynomials, Tau Method
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.9 No.4,
November
29,
2019
ABSTRACT: In this paper, we present a new method for solving a class of high-order quasi exactly solvable ordinary differential equations. With this method, the computed solution is expressed as a linear combination of the canonical polynomials associated with the given differential operator. An iterative algorithm summarizing the procedure is presented and its efficiency is demonstrated through considering two applied problems.