On the High-Order Quasi Exactly Solvable Differential Equations

• 作者: Mohamad K. El-Daou Mohamed S. Shaaban Talal H. Alzanki
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Quasi-Exactly SOLVABLE HIGH-ORDER Differential Equations Canonical POLYNOMIALS Tau Method
• 年，卷（期）: 2019,（4）
• 页码范围: 234-250
• 页数: 17页
• 分类号: O17

摘要

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.